Maths Olympiad
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About the Cuemath Olympiad Program There are many competitions that school students can take part in. Typically they are referred to as olympiads, or talent searches, or quizzes. These competitions test knowledge and aptitude that goes beyond what is typically learnt in schools. To answer these questions, a thorough understanding of the concepts is needed. But in addition, regular practice is also necessary. Students build a strong foundation through regular Cuemath classes. For the extra practice that is needed just before such competitions, this Olympiad Program is all that students need.
What you get 1. Olympiad Practice Book - School Math (print or e-Book) 2. Olympiad Practice Book - Aptitude (print or e-Book) 3. Olympiad Additional Practice e-Book 4. Olympiad Strategy e-Book 5. 4 Olympiad Tests online
How to make the best of this Program The best way to use this program is by creating a two-month learning plan (which can be squeezed if you don't have 2 months). Start by taking the online benchmark test to know the current level of preparation. Then, start with the School Math Practice Book. Complete it before moving to the Aptitude Practice Book. Complete 1 full unit every alternate day. Target completing 3 to 4 units of each week. Once a unit is solved, use the answer key to correct the work. Expect a few mistakes. Ask your child to figure out the mistake and see if they can correct it. The School Math Practice Book also has partial paper-based tests. Take those whenever you reach that point to track performance. The remaining 3 mock olympiad tests can be taken online every 3 weeks. The mock test report will tell you which topics are well understood and which ones need more practice. Giving 3 weeks between two mock tests allows sufficient time to practice the topics that need improvement. For additional practice on specific topics, use the Olympiad Additional Practice e-Book.
Olympiad Practice Book - Aptitude Contents Unit number Unit name
Page number
1
Patterns
3
2
Alphabet Test
9
3
Coding and Decoding
15
4
Ranking Test
21
5
Mirror Images
27
6
Geometrical Shapes and Solids
35
7
Embedded Figures
41
8
Direction Sense
49
9
Days, Dates & Possible combination
57
10
Analogy & Classification
63
Paper test - Full
71
Answer Key
83
G4
Unit 1 — Patterns
Question types Type 1: Find the missing term or next term in the number or letter series to continue the given series in a certain pattern. Type 2: Find the missing numbers in the pattern. Type 3: Find the missing part in the figure pattern.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Q1.
What are the next two numbers in the pattern below? 9 (A) 34, 43
Q2.
12
16
(B) 34, 42
6
? (D) 43, 34
2
3
(A) 146
6
3
7
105
8
7
? 4
(B) 164
9
(C) 192
5 (D) 184
Which numbers will continue the series below? 27 (A) 35, 19
13
29
15
31
(B) 53, 91
17
33
?
(C) 19, 35
?
(D) 35, 53
Find the missing number in the series given below.
(A)
6
4
3
2
2019-20
?
(C) 43, 24
110
Q4.
27
Find the missing number. 1
Q3.
21
(B)
6
5
(C)
© Copyright Cuemath
6
?
7
(D)
6
5
Q5.
Which figure comes next in the series given below?
? (A)
Q6.
(B)
(C)
(D)
What comes next in the given pattern? [SOF IMO 2014]
? (A)
Q7.
(B)
(C)
(D)
Which of the following options will complete the pattern?
? (A)
Q8.
(C)
(D)
If the given matrix follows a certain rule row-wise or column-wise, then find the missing character.
(A) 1304 6
(B)
(B) 1043
81
70
61
5
14
23
405
980
?
(C) 1403
© Copyright Cuemath
(D) 1034 2019-20
Q9.
Which of the following will be the next terms in the given number pattern? 1 (A) 120, 240
Q10.
2
6
24
(B) 240, 720
?
(C) 120, 720
? (D) 120, 60
Which of the following figures will continue the given pattern? [SOF NSO 2015]
?
Q11.
(A)
(B)
(C)
(D)
Find the option which will complete the given pattern.
? (A)
Q12.
(B)
(C)
(D)
Find the missing number, if a certain rule is followed in all the three figures? [SOF IMO 2015] 6
12 15
(A) 8 2019-20
(B) 9
8
13 12
(C) 12 © Copyright Cuemath
?
14 10
(D) 13 7
Q13.
Which of the following options will complete the figure?
? (A)
Q14.
(B)
(D)
Which of the following will be the next terms in the given number pattern? 23 (A) 119, 89
Q15.
(C)
34
47 (B) 89, 119
62
79
(C) 98, 119
?
?
(D) 119, 98
Spot the correct option.
?
8
(A)
(B)
(C)
(D)
© Copyright Cuemath
2019-20
G4
Unit 2 — Alphabet Test
Question types Type 1: Rearrange
letters or numbers to form a meaningful word. the word that can/cannot be formed from the given letters.
Type 2: Find
Type 3: Form
a meaningful word and identify an appropriate category.
Type 4: Identify the
combination of letters that has the same number of skipped letters between the adjacent letters.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Directions (Q1 – Q3): In each question, some letters are given which are numbered 1, 2, 3, 4, 5 and 6 followed by four options containing combinations of these numbers. Find the combinations such that letters when arranged accordingly form a meaningful word. Q1.
(A) 532164
W L
O E
F
R
1
3
5
6
2
4
(B) 523146
(C) 231465
(D) 314562
Q2.
(A) 314562
O A
S
E
N S
1
3
4
5
2
(B) 364125
6
(C) 342615
(D) 354621
Q3.
(A) 815269437
E
G B
L
E
T
E
V
A
1
2
4
5
6
7
8
9
3
(B) 826371594
(C) 871423596
(D) 812569347
Directions (Q4 – Q5): Find the category of word formed by rearranging the letters to form a meaningful word. Q4. RTNEIW (A) Fruit
2019-20
(B) Vegetable
(C) Season
© Copyright Cuemath
(D) Flower
11
Q5. RAESER
Q6.
(A) Used for writing
(B) Used for weaving
(C) Used for eating
(D) Used for erasing
Find the word which CANNOT be made using the letters of the word given. E D U CATE D (A) DUCK
(B) CUTE
(C) CAT
(D) DATE
Directions (Q7 – Q10): Choose the word that can be formed using the letters of the word given. Q7. PERMANENT (A) MENTOR
(B) TEMPER
(C) PERSIST
(D) PLAYER
Q8. GEOMETRICAL (A) RULER
(B) MENTOR
(C) METER
(D) LOGICAL
Q9. PROGRAMME (A) ROAST
12
(B) GRAMS
(C) MORE
© Copyright Cuemath
(D) MORSE
2019-20
Q10. C LAS S I FI CATI O N (A) FICTION Q11.
(D) FRACTION
(B) VOIDZWU
(C) TOJEZUP
(D) IGECAYW
Which series follows the rule given? Rule: The number of letters skipped in between adjacent letters in the series decreases by two. (A) FQWBG
Q13.
(C) CAUTION
Which series follows the rule given? Rule: The number of letters skipped between adjacent letters decreases by one. (A) NKHEBV
Q12.
(B) GLASS
(B) TBINO
(C) HQXCF
(D) XFMQU
Find the combination of numbers so that letters can be arranged to form a meaningful word. ABIJLNR 1234567 (A) 2571346
Q14.
(B) 2715346
(C) 2345761
(D) 2736415
Which of these words CANNOT be formed from the letters of the word given? C R EATI O N S (A) REACT
2019-20
(B) ACTION
(C) TORN
© Copyright Cuemath
(D) HECTARE
13
Q15.
Some letters are given which are numbered 1, 2, 3, 4, 5 and 6 followed by four options containing combinations of these numbers. Find the combinations such that letters when arranged accordingly form a meaningful word.
(A) 67415283
14
D U R
H Y
T
S
A
1
4
6
7
8
2
3
(B) 64538217
5
(C) 64237185
© Copyright Cuemath
(D) 68425137
2019-20
G4
Unit 3 — Coding and Decoding
Question types Coding: It is a method of expressing something in a secret way. Decoding: It is a process followed to understand a code language.
Types of Coding 1. Letter coding: Letters are used in forward or backward or both the directions for making some code language. 2. Direct letter coding: Letters of a word are directly replaced by other letters. 3. Number/symbol coding: Numerals or symbols are assigned to words. 4. Substitution coding: Some particular words are assigned to certain names. Note: In questions where you are given ‘‘A’’ means B it implies that ‘‘A’’ is the name given to B in the coded form. This is also equivalent to B is called A.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Directions (Q1 – Q2): Letters in a word given below are replaced by certain other letters according to a specific rule to form its code. Detect the coding pattern/rule and answer the questions below. Q1.
If BEAT is written as 'GIDV', then SOUP may be written as (A) YSXR
Q2.
(C) XSYS
(D) XSXR
If SUGAR is written as 'RPKLU', then GURUS is coded as (A) KPUPR
Q3.
(B) ZSYS
(B) RPVPR
(C) LKRKP
.
.
(D) PKVKR
If America is called 'India', India is called 'China' and China is called 'Japan', then Beijing is a capital of which country? (A) Japan
(B) China
(C) India
(D) America
Directions (Q4 – Q8): In these type of questions, either numerical code values or symbols are assigned to letters. Detect the coding pattern/rule and answer the questions below. Q4.
If CAKE is written as '1234' and TASTE is written as '52754', then EAT is written as . (A) 425
Q5.
(B) 421
(C) 427
(D) 423
If HOTEL is written as '76453', TALL is written as '4233', then HEAT is written as . [SOF NSO 2015] (A) 7523
Q6.
(C) 4752
(D) 7524
If READ is written as '9876', TOP is written as '123', then PORT is written as . (A) 3292
2019-20
(B) 7245
(B) 3987
(C) 3291
© Copyright Cuemath
(D) 3289 17
Q7.
If BOOK is written as '9227', GROW is written as '3821', then WORK is coded as . (A) 1287
Q8.
(B) 2178
(C) 7821
(D) 8712
If MATH is written as '1729', PRIME is written as '34519', then RITE is written as . (A) 9254
(B) 2945
(C) 4529
(D) 4952
Directions (Q9 – Q10): In these type of questions, some particular words are assigned to certain substituted names. Detect the coding pattern/rule and answer the questions below. Q9.
If Summer is called 'Winter', Winter is called 'Rainy', Rainy is called 'Autumn', then when do you feel hot? (A) Summer
Q10.
(B) lake
(C) well
(D) ocean
(B) Temple
(C) College
(D) Home
If '1' means 2, '2' means 3, '3' means 4, then which comes immediately after 2 when counting? (A) 1
18
(D) Autumn
If College is called 'Ground', Ground is called 'Court', Court is the called 'Hospital' and Hospital is called 'Bank', then where do you go for health check-up? (A) Bank
Q12.
(C) Rainy
If river is called 'lake', lake is called 'well', well is called 'ocean' and ocean is called 'puddle', then which water body is the biggest? (A) puddle
Q11.
(B) Winter
(B) 2
(C) 3
© Copyright Cuemath
(D) 4
2019-20
Q13.
If 'square' means circle, 'circle' means triangle and 'triangle' means kite, then which shape has 3 sides? (A) square
Q14.
(D) kite
(B) U
(C) W
(D) X
If TRACE is written as '84632' and EARTH is written as '26487', then TACT is written as . (A) 8631
2019-20
(C) triangle
If 'V' means U, 'W' means V and 'X' means W, then which letter is a vowel? (A) V
Q15.
(B) circle
(B) 8638
(C) 3861
© Copyright Cuemath
(D) 1386
19
G4
Unit 4 — Ranking Test
Question types Type 1: Identify the position of an object/a person from the left end or the right end and rank from the top or from the bottom. Type 2: In this type, questions could be asked by interchanging positions of two people. Type 3: Identify the position or rank of an object or person with respect to the position or rank of another person. Type 4: Identify the position of an object or a person after removing some objects from the series.
Date
Number of questions attempted
Number of correct answers
Time taken
Q1.
Rohan ranks 8th from the top and 12th from the bottom in his class. How many students are there in the class? (A) 17
Q2.
(C) 19
(D) 21
Kavya is taller than Chandni and shorter than Sneha only. Chandni is not the shortest. Sneha is taller than Ranjani. Who is the shortest? (A) Kavya
Q3.
(B) 29
(B) Chandni
(C) Sneha
(D) Ranjani
At school, Neha is standing with her classmates in a row. If she is 13th from the right end and 19th from the left end, how many children are standing in the row? [SOF NSO 2014] (A) 29
(B) 28
(C) 32
(D) 31
Directions (Q4 – Q5): Answer the following questions based on the Alphabet. A B C D E F G H I J K L M Q4.
Q5.
What is the position of letter H in the series? (A) 6th from the right
(B) 6th from the left of C
(C) 6th from the left
(D) 6th from the right of D
Which letter is second to the left of the third letter from the right end? (A) I
Q6.
(B) M
(C) L
(D) B
Three people Aditi, Sharique and Nemat are standing in a queue. (i) There are five people between Aditi and Sharique. (ii) There are eight people between Sharique and Nemat. (iii) Aditi is last in the queue. If only three people are ahead of Nemat, what is the number of people in the queue? (A) 19
2019-20
(B) 17
(C) 18
© Copyright Cuemath
(D) 20 23
Q7.
In a row of boys, Karthik is 2nd from the front and Santosh is 2nd from the back. If there are 10 boys in the row, then how many boys are there between Karthik and Santosh? (A) 8
Q8.
(B) 9
(C) 6
(D) 5
Santosh is taller than Naveed. Naveed is taller than Manish but shorter than Danish. Santosh is not the tallest. Which of the following is the correct descending order of height? (A) Santosh > Manish > Naveed > Danish (B) Naveed > Manish > Santosh > Danish (C) Danish > Santosh > Naveed > Manish (D) Manish > Danish > Santosh > Naveed
Q9.
If Q and I interchange their positions, then which letter is 5th from the right? A Q R W X P T U I E S V Y Z (A) R
Q10.
(B) U
(C) E
(D) I
Who is farthest from the finish line? Pramod Ajit
Rahul Ritu
John
Rajiv
Ajay Sudha Ali Sahil Finish
(A) Ajit
24
(B) Sahil
(C) Pramod
© Copyright Cuemath
(D) Rahul
2019-20
Q11.
Q12.
What is the position of the flower circled?
(A) Third from the left
(B) Fifth from the left
(C) Fourth from the right
(D) Central
If there was no Ice-cream, what would be the position of the football?
Le
Q13.
Right
(A) First from the left
(B) Fourth from the right
(C) Third from the right
(D) Second from the left
Who is the nearest to the Principal's door? him
As
(A) Rohan
2019-20
(B) Nakish
a
an
h Ro
l ha
Ni
sh An
(C) Ansh
© Copyright Cuemath
iya
Pr
La
a k
sh
k Na
(D) Ashima
25
Q14.
If the first four numbers of the series below were removed, which number would lie in the middle of series?
31, 22, 37, 44, 35, 6, 7, 8, 19, 10, 11, 72, 83, 14, 95 (A) 19 Q15.
(C) 11
(D) 8
(C) R
(D) S
P and Q weigh equally. R weighs more than Q. S weighs less than P Who is the heaviest? (A) P
26
(B) 10
(B) Q
© Copyright Cuemath
2019-20
G4
Unit 5 — Mirror Images
Question types Mirror Images: The left side of the object becomes right side of the object in mirror images. . Note: If not mentioned, the mirror is assumed to be placed to vertically right of the object.
Date
Number of questions attempted
Number of correct answers
Time taken
Directions (Q1 – Q9): Which of the following figure is the mirror image of Figure (X)? Q1. Figure (X)
S (B)
S
S
S
(A)
Mirror
(C)
(D)
S
(D)
ECAF
Q2. Figure (X)
FACE
(A)
FACE
Mirror
(B)
ECAF
(C)
FACE
Q3. Figure (X)
Mirror
(A)
2019-20
(B)
(C)
© Copyright Cuemath
(D)
29
Q4. Figure (X)
Z
Y
B
C
C B
Z
C
B
(D)
Y
Z
C
Y
Z
(C)
B
Y
P
C
Z
Q
B
R
(B)
S
(A)
Y
Mirror
Q5. Figure (X)
P
Q
R
S
Mirror
R
S
P
Q
(C)
Q
S
(B)
P
P
S
Q
R
(A)
R
(D)
Q6.
Figure (X)
(A)
30
(B)
(C)
© Copyright Cuemath
Mirror
(D)
2019-20
Q7.
Figure (X)
Mirror
(A)
(B)
(C)
(D)
Q8.
Figure (X)
(A)
(B)
Mirror
(C)
(D)
Q9. Figure (X)
Mirror
(A)
2019-20
(B)
(C)
© Copyright Cuemath
(D)
31
Q10.
Q11.
Q12.
If the mirror is placed vertically to the right of the characters below, what will be the reflection look like? Choose the correct option.
(A)
(B)
(C)
(D)
If the mirror is placed horizontally at the bottom of the characters below, what will be the reflection look like? Choose the correct option.
(A)
(B)
(C)
(D)
If the mirror is placed horizontally at the bottom of the figure below, what will be the reflection look like? Choose the correct option.
(A)
32
(B)
(C)
© Copyright Cuemath
(D)
2019-20
Q13.
If the mirror is placed horizontally at the bottom of the figure below, what will be the reflection look like? Choose the correct option.
(A)
Q14.
(D)
(B)
(C)
(D)
If the mirror is placed vertically to the right of the figure below, what will be the reflection look like? Choose the correct option.
(A)
2019-20
(C)
If the mirror is placed vertically to the right of the figure below, what will be the reflection look like? Choose the correct option.
(A)
Q15.
(B)
(B)
(C)
© Copyright Cuemath
(D)
33
G4
Unit 6 — Geometrical Shapes and Solids
Question types Type 1: Identifying the lines of symmetry Type 2: Identifying the geometrical shapes and solid shapes Type 3: Identifying the nets of the solid shapes
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Q1.
Which of the following when folded will not give a cube?
(A)
Q2.
(C) 6
(D) 8
(B) 5
(C) 6
(D) 4
(B)
(C)
(D)
How many lines of symmetry are there in the given figure?
(A) 0 2019-20
(B) 10
Which of the following figures does not have a line of symmetry?
(A) Q5.
(D)
How many rectangles are there in the figure below?
(A) 7 Q4.
(C)
Count the number of triangles in the given figure.
(A) 9 Q3.
(B)
(B) 1
(C) 2
© Copyright Cuemath
(D) 3 37
Q6.
Which of the following figures have line of symmetry?
P
Q
R
S
(A) Only P and S (B) Only P and Q (C) Only P, Q and S (D) P, Q R and S
Q7.
Choose the picture which has the correct line of symmetry.
(A)
Q8.
P
S
(B)
(B)
(C)
(D)
(C)
L
(D)
How many curved lines are there? A (A) 4
38
(D)
Based on symmetry, choose the odd one out.
(A)
Q10.
(C)
Choose the picture which has the correct line of symmetry.
(A)
Q9.
(B)
(B) 5
B (C) 6
© Copyright Cuemath
C (D) 7
2019-20
Q11.
How many vertical lines are there in the given figure?
(A) 2 Q12.
(B) 4
(C) 6
(D) 8
Identify the shapes in the given figure.
P Q R
2019-20
S
P
Q
R
S
(A)
Cone
Circle
Square
Rectangle
(B)
Rectangle
Square
Circle
Cone
(C)
Cone
Rectangle
Circle
Square
(D)
Circle
Square
Rectangle
Cone
© Copyright Cuemath
39
Q13.
How many squares are there in the given figure?
(A) 18 Q14.
(B) 16
(C) 14
(D) 20
How many lines of symmetry does the figure have?
(A) 0 Q15.
(C) 2
(D) 3
How many lines of symmetry does the figure have?
(A) 1
40
(B) 1
(B) 2
(C) 3
© Copyright Cuemath
(D) 4
2019-20
G4
Unit 7 — Embedded Figures
Question types Type 1: A figure is given followed by four option figures in such a way that the question figure is embedded in one of the given four options. Type 2: A question figure is given followed by four option figures in such a way that one of the option figures is embedded inside the given question figure.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Q1.
Which of the following parts is exactly embedded or hidden in Figure (X). Figure (X)
(A)
(B)
(C)
(D)
Directions (Q2- Q3): Find the figure in which the given problem figure is exactly embedded as one of its part. Q2. Problem Figure
(A)
(B)
(C)
(D)
Q3. Problem Figure
(A)
2019-20
(B)
(C)
© Copyright Cuemath
(D)
43
Directions (Q4 – Q5): Which of the following parts is exactly embedded or hidden in Figure (X)? Q4. Figure (X)
(A)
(B)
(C)
(D)
Q5. Figure (X)
(A)
44
(B)
(C)
© Copyright Cuemath
(D)
2019-20
Q6.
Which of the four options exactly matches a part of the figure here?
(A)
Q7.
(D)
(B)
(C)
(D)
Which of the four options exactly matches a part of the figure here?
(A)
2019-20
(C)
Which of the four options exactly matches a part of the figure here?
(A)
Q8.
(B)
(B)
(C)
© Copyright Cuemath
(D)
45
Q9.
Which of the four options has part that exactly matches the figure here?
(A)
Q10.
(D)
(B)
(C)
(D)
Which of the four options exactly matches a part of the figure here?
(A)
46
(C)
Which of the four options has part that exactly matches the figure here?
(A)
Q11.
(B)
(B)
(C)
© Copyright Cuemath
(D)
2019-20
Q12.
Which of the four options has part that exactly matches the figure here?
(A)
Q13.
(D)
(B)
(C)
(D)
Which of the four options has part that exactly matches the figure here?
(A)
2019-20
(C)
Which of the four options has part that exactly matches the figure here?
(A)
Q14.
(B)
(B)
(C)
© Copyright Cuemath
(D)
47
Q15.
Which of the four options has part that exactly matches the figure here?
(A)
48
(B)
(C)
© Copyright Cuemath
(D)
2019-20
G4
Unit 8 — Direction Sense
Question types Directions:
North North-East
North-West West South-West
East
South
South-East
Type 1: Clockwise turn (right turn): Moving in the direction of the clock is called clockwise direction. N
W
E
S
Type 2: Anticlockwise turn (left turn): Moving in the opposite direction of the clock is called anticlockwise direction.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Directions (Q1 – Q3): Answer the questions based on directions and places given in the figure. school
home
park
Manan
church
Q1.
(C) church
(D) park
(B) mall
(C) park
(D) library
(B) mall
(C) park
(D) home
A and B interchange their positions and C and D interchange their positions. What will be towards the west of C?
(A) A
2019-20
(B) library
Manan is facing the school. What will he be facing if he makes a three fourth turn clockwise? (A) church
Q4.
post office
temple
Manan is facing the mall. What will he be facing if he makes a half turn clockwise? (A) school
Q3.
mall
Manan is facing school. What will he be facing if he makes a one fourth anticlockwise? (A) school
Q2.
library
(B) B
A
B
C
D (C) C
© Copyright Cuemath
(D) D
51
Directions (Q5 – Q6): Use the figure given below to answer the questions. W N L
X
E
W
Z
S M
Q5.
(B) W
(C) Z
(D) N
(C) M
(D) N
Which point is north of Z? (A) W
Q7.
Y
Which point is west of L? (A) X
Q6.
N
(B) L
Navneet is facing the restaurant. He makes a three fourth turn clockwise and half a turn in clockwise direction. What is the shortest turn that he could make in order to face the bookstore? bookstore
restaurant
Navneet's house
post office
school
temple
pond mall
park
(A) three eighth turn anticlockwise (B) five eighth turn clockwise (C) five seventh towards right
52
(D) seven eighth towards left
© Copyright Cuemath
2019-20
Q8.
If you are facing southeast as indicated in the image, which direction will you be facing if you turn 90° clockwise and then 315° anticlockwise? N NW
SW
Q9.
E
You
W
(A) East
NE
(B) West
SE S
(C) South
(D) North
If you are facing west as indicated in the image, which direction will you be facing if you turn 360° clockwise and then 225° anticlockwise? N NW
SW
Q10.
(B) Southeast
SE S
(C) Northwest
(D) Northeast
If you are facing East, which direction will you be facing if you turn half rotation anticlockwise? (A) East
2019-20
E
You
W
(A) Southwest
NE
(B) West
(C) South
© Copyright Cuemath
(D) North
53
Q11.
If you are facing the school initially as shown in the image, which place will you be facing if you turn 71° clockwise and 26° anticlockwise? Mall Hospital
Park
Pond
Temple
You
Library
Office School
(A) Office Q12.
(B) Library
(C) Mall
Which points lie exactly to the North of Point Z? A
B
P W L
(A) D, S
Q13.
C
Q
R
X
Y
M
N
(B) M, N
D
S Z
S
O
(C) W, X
(D) O, Z
Which points lie exactly to the Northwest of Point X? P
S
V
(A) Q and S
54
(D) Park
Q T
W
(B) Q and U
R
U
W
X
(C) S and W
© Copyright Cuemath
(D) P and T
2019-20
Q14.
If you face a temple initially as shown in the image, which place will you be facing if you turn 252° clockwise and 117° anticlockwise? Mall Hospital
Pond
Park
You
Temple
Library
Office School
(A) Library
Q15.
(B) School
(C) Office
(D) Hospital
If you face a mall initially as shown in the image, which place will you be facing if you turn 61° clockwise and 16° anticlockwise? Mall Hospital
Pond
Park
You
Temple
Library
Office School
(A) Park
2019-20
(B) Temple
(C) Hospital
© Copyright Cuemath
(D) School
55
G4
Unit 9 — Days, Dates & Possible combination
Question types Type 1: Days of the week Type 2: Calendars Type 3: Finding the combination of different objects
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Q1.
If yesterday was Monday what will be day after tomorrow? (A) Friday
Q2.
(C) 24
(D) 14
(B) 28
(C) 36
(D) 34
(B) 16th
(C) 18th
(D) 19th
Nikhil started some work on Tuesday. He promised his mother that he will complete the whole work in 5 days. On which day will he complete the work? (A) Sunday
2019-20
(B) 12
If today is Monday, 22nd July, then the previous Monday fell on which date? (A) 15th
Q5.
(D) Tuesday
In a birthday party, 7 friends met. Each friend shook hands with each other exactly once. How many handshakes are there? (A) 21
Q4.
(C) Wednesday
How many possible combinations of one shirt and one pant are possible from a set of 3 shirts and 4 pants? (A) 7
Q3.
(B) Thursday
(B) Monday
(C) Tuesday
© Copyright Cuemath
(D) Saturday
59
Q6.
Starting on the first Thursday of November 2012, Shobana practices every second day until the end of the month. How many days in all does Shobana practice for? November, 2012 Sunday
Monday
Tuesday Wednesday Thursday 1
(A) 13 days
Q7.
(D) 16 days
(B) 64
(C) 49
(D) 15
(B) 7.10 PM
(C) 7.20 PM
(D) 7.05 PM
(B) 8
(C) 16
(D) 15
How many possible combinations of 1 shirt and 1 shorts can be formed from 5 shirts and 5 shorts? (A) 20
60
3
How many possible combination of one pencil and one eraser from 4 pencils and 4 erasers can be formed? (A) 10
Q10.
2
If a clock shows 6.15 PM now and is 30 minutes slow, then what will be the correct time after 25 minutes? (A) 7.15 PM
Q9.
(C) 15 days
Saturday
How many possible combinations of 1 pencil and 1 eraser are there in eight pencils and seven erasers? (A) 56
Q8.
(B) 14 days
Friday
(B) 25
(C) 30
© Copyright Cuemath
(D) 35
2019-20
Directions (Q11 – Q12): Observe the given calendar carefully and answer the following questions. August 2016 Sun
Q11.
Mon
Tues
Wed
Thurs
Fri
Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
If Mohit’s interview falls just after the third Monday of August 2016, then on which date does Mohit have his interview? (A) 15th August (B) 16th August (C) 22nd August (D) 23rd August
Q12.
Siddharth’s birthday falls on the day just before the fourth Monday of August 2016. On which date, did Siddharth celebrate his birthday? (A) 21st August
Q13.
(B) 30th August
(C) 28th August
(D) 29th August
Vidya started making model on 22nd October 20XX. Her teacher asked her to submit the model on second day after fourth Sunday of October 20XX. On which date will she submit her model ? October 20XX Sun
7
Mon
Tues
Wed
Thurs
Fri
Sat
1
2
3
4
5
6
8
9
10
11
(A) 30th October (B) 17th October (C) 13th October (D) 20th October
2019-20
© Copyright Cuemath
61
Q14.
Alex's swimming competition was held for four days before 2nd Friday of June 20XX. The date on which Alex's swimming competition started was? June 20XX Sun
Mon
Wed
Thurs
Fri
Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
(A) 7th June Q15.
Tues
(B) 20th June
(C) 2nd June
(D) 5th June
If Arjun birthday falls just before 4th Wednesday of July 20XX, then on which date will he be celebrating his birthday? July 20XX Sun
Tues
Wed
Thurs
Fri
Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
(A) 30th July
62
Mon
(B) 28th July
(C) 22nd July
© Copyright Cuemath
(D) 23rd July
2019-20
G4
Unit 10 — Analogy & Classification
Question types Type 1: A pair of related terms/figures is provided and a similar relationship is to be established between two other terms/figures or another pair to identify the missing term/figure. Type 2: A set of terms/figures is given in which all, except one follows similar properties. Students are required to identify the property followed in the set and find the odd one out.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Directions (Q1 – Q5): There is a certain relationship between the pair of figures on the either side of ::. Identify the relationship and find the missing figure. Q1.
W
M
::
(B)
(C)
W: ? W
(D)
W
(A)
:
M
M
Q2.
:
(A)
2019-20
(B)
::
(C)
© Copyright Cuemath
:
?
(D)
65
Q3.
:
(A)
(B)
::
?
:
(C)
(D)
Q4.
:
(A)
(B)
::
:
(C)
?
(D)
Q5.
:
(A)
66
(B)
::
(C)
© Copyright Cuemath
:
?
(D)
2019-20
Directions (Q6 – Q10): Find the odd one out. Q6.
(A)
E
(B)
M
(C)
A
(D)
T
Q7.
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
Q8.
Q9.
(A)
2019-20
5
(B)
8
(C)
© Copyright Cuemath
7
(D)
8
67
Q10.
(A)
(B)
(C)
(D)
Directions (Q11 – Q15): The first two figures are related. Choose an option that establishes the same rotation between the third and fourth figure. Q11.
?
(A)
(B)
(C)
(D)
Q12.
? (A)
68
(B)
(C)
© Copyright Cuemath
(D)
2019-20
Q13.
? (A)
(B)
(C)
(D)
Q14.
? (A)
Q15.
(C)
(D)
Which of the following figure same as the given figure?
(A)
2019-20
(B)
(B)
(C)
© Copyright Cuemath
(D)
69
G4
Paper test - Full
Instructions • Please use OMR sheet to answer the questions. • Submit the answered OMR sheet to your teacher.
APTITUDE Q1.
Find the missing number, if a certain rule is followed either row-wise or column-wise.
(A) 58 Q2.
Q3.
14
15
10
12
14
44
52
?
(B) 51
(C) 31
(D) 63
Find the combination of numbers, so that the given letters are arranged accordingly to form a meaningful word. B
E
O L
I
M
1
2
3
5
6
4
(A) 6, 5, 3, 1, 4, 2
(B) 6, 3, 2, 4, 5, 1
(C) 6, 3, 1, 5, 4, 2
(D) 6, 3, 5, 1, 4, 2
In a certain code language, if 'ROLE' is written as '@#$%' and 'FIND' is written as '^&*!', then how is 'LEND' written in the that code language? (A) $%!*
2019-20
12
(B) $#&*
(C) #$^&
© Copyright Cuemath
(D) $%*!
71
Q4.
If Ansh leaves the row, then who will be at the fourth position from the last? a
him
As
(A) Priya Q5.
(B) Nakish
an
h Ro
l ha
Ni
sh An
(C) Nihal
iya
Pr
La
a k
sh
k Na
(D) Ashima
Find the mirror image of Fig. (X).
Fig. (X) (A)
Q6.
(C)
(D)
Which of the following figures has at least one line of symmetry? (A)
72
(B)
(B)
(C)
© Copyright Cuemath
(D)
2019-20
Q7.
Which of the following figures is exactly embedded in the Figure X?
(A)
Q8.
(B)
(D)
Manan is facing the school. He makes a one-fourth turn to his right and then he makes half a turn left. What will he be facing now? school
home
park
Manan
church (A) school
2019-20
(C)
library
mall
post office
temple
(B) church
(C) library
© Copyright Cuemath
(D) park
73
Q9.
If Mary's birthday falls just before third Sunday of September, then on which date will she be celebrating her birthday? September 20XX Sun Mon Tues Wed Thurs
Q10.
Fri
Sat
7
1 8
2 9
3 10
4 11
5 12
6 13
14
15
16
17
18
19
20
21 28
22 29
23 30
24 31
25
26
27
(A) 21st September
(B) 20th September
(C) 27th September
(D) 28th September
Identify the missing figure based on the relationship between the first two figures.
? (A)
74
(B)
(C)
© Copyright Cuemath
(D)
2019-20
MATHEMATICAL REASONING Q11.
Q12.
Select the odd one out. (A) 100 tens
(B) 10 hundreds
(C) 100 hundreds
(D) 1 thousand
Round off 56741 to the nearest thousands. (A) 56800
Q13.
(B) 57000
(D) 58000
Which of the following is not a common factor of 36 and 18? (A) 6
Q14.
(C) 60000
(B) 9
(C) 3
(D) 8
Find the missing number.
90 9 3 (A) 2 Q15.
3
5
?
(C) 4
(D) 5
Which symbol can make the number statement true? 3 4 (A) <
2019-20
(B) 3
10
1 2 (B) >
(C) =
© Copyright Cuemath
(D)
Can't be determined
75
Q16.
Q17.
36 is same as 72 2 (A) 3
1 2
(C)
3 4
(D)
4 5
The cost of 1 kg of garlic is `96 rupees, then what is the cost of 250 g? (A) `25
Q18.
(B)
(B) `23
(C) `48
(D) `24
Each fruit has a different value. The sum of each row and column is given. Find the value of
+
+
?
700 800 ?
(A) 900 Q19.
(B) 700
600
(C) 600
(D) 800
Consider the triangle shown and select the correct option. X
Y Z (A) If XY = YZ and ∠X = 90°, then ∆XYZ is an acute angled triangle. (B) If XY = YZ and ∠Y = 90°, then ∆XYZ is a right angled isosceles triangle. (C) If XY = ZX = YZ, then ∆XYZ is not an equilateral triangle. (D) All three options are correct. 76
© Copyright Cuemath
2019-20
The graph shows the amount of cakes sold in a shop for 4 days. Amount of cakes sold (in kg)
Q20.
350 300 250 200 150 100 5 0
Monday
Tuesday
Wednesday
Thursday
If 3 kg of cake costs `300, then how much money was spent on Thursday? (A) `90000
(B) `30000
(C) `20000
(D) `3000
DAILY MATHEMATICS Q21.
How many cubes are there in the given figure?
(A) 24 Q22.
(C) 48
(D) 42
A town has a population of 89361. Round off the population to the nearest hundreds. (A) 89300
2019-20
(B) 40
(B) 89000
(C) 89400
© Copyright Cuemath
(D) 89360
77
Q23.
How many seconds are there in a day? (A) 86400
Q24.
(D) 10000
(B) 5600
(C) 5750
(D) 5550
A supermarket has 110 racks of eggs. Each rack has 15 crates of eggs. Each crate has 50 eggs. What is the total capacity of eggs in the supermarket? (A) 82000
Q26.
(C) 3600
On a Sunday John drove 2141 km, on Monday he drove another 3212 km and on Tuesday he drove another 322 km. Approximately, how many kilometres did he drive in all three days? (A) 5800
Q25.
(B) 43200
(B) 83400
(C) 82500
(D) 85200
Ram puts the cards shown below into a basket and mixed them up.
E V A C U A T I O N What fraction of letters on the cards are vowels? (A) Q27.
(B)
6 11
(C)
4 10
(D)
3 5
The given list shows the names of students who recently enrolled for Cuemath program. What fraction of names are starting from D?
(A) 78
2 5
5 13
(B)
Davis
Daniel
John
Mike
Deepak Ann
Mary Sam
Dennis
Ram
Divith
Shyla
5 10
(C)
© Copyright Cuemath
6 11
(D)
5 12 2019-20
Q28.
Mary went to a theme park. She bought two tickets for a 3D show at a rate of `500 per ticket. After that she bought 2 ice creams for `30 each and 3 packets of chips. What information is required to find the total amount spent by Mary? (A) The number of people who attended the 3D show. (B) The flavor of the ice cream. (C) Cost of a packet of chips. (D) Cost of an ice cream.
Q29.
Dennis made a shape by folding the given cardboard along the dotted lines. Which shape did Dennis make?
(A)
Q30.
(B)
(C)
(D)
Rosy bought a plot of land whose dimensions are given below. What is the distance she has to cover if she has to plant trees along the sides of the land? 5m
5m
6m 7m
(A) 26 m
2019-20
(B) 23 m
(C) 25 m
© Copyright Cuemath
(D) 29 m
79
HIGHER ORDER THINKING SKILLS Q31.
Rekha cooks 8 kg of rice every month. For how long can she cook if she has 50 kg of rice? (A) Exactly 8 months (B) Exactly 9 months (C) Less than 8 months (D) More than 8 months but less than 9 months
Q32.
Q33.
Match the following. P
Predecessor of 878563
(i)
Q
Largest 5-digit number
(ii) 878562
R
Place value of 5 is 500
(iii) 879000
S
878563 when rounded to nearest 1000
(iv) 878563
(A)
P
(iii),
Q
(iii),
R
(iv),
S
(ii)
(B)
P
(ii),
Q
(iii),
R
(iv),
S
(i)
(C)
P
(i),
Q
(iv),
R
(iii),
S
(ii)
(D)
P
(ii),
Q
(i),
R
(iv),
S
(iii)
Find the number. • I am 5-digit number • I have 2 even and 3 odd digits • The sum of all digits adds up to 19 • The one's and thousand's digits are same (A) 57252
80
99999
(B) 32572
(C) 75232
© Copyright Cuemath
(D) 22357
2019-20
Q34.
In a pond, there are 10 tortoises, 30 fishes, 20 frogs. Which of the following statement is incorrect? (A) One-sixth of animals in the pond are tortoises. (B) One-third of the animals in the pond are fishes. (C) One-third of the animals in the pond are frogs. (D) In total there are 60 animals in the pond.
Q35.
Sara wants to go home from her school. She decides to take the shortest. Which of the following is the best route? Bus stop
4 km
Library
Bank
5 km 4 km
2 km
3 km
Home
2 km 7 km
School
3 km
Park
3 km
2019-20
3 km
Mall
4 km
Hospital
Home
Bank
Home
(A) School
Mall
(B) School
Library
(C) School
Park
Home
(D) School
Bank
Home
© Copyright Cuemath
Hospital
81
Answer Key
Unit 1: Patterns
Unit 2: Alphabet Test
1. (B)
6. (D)
11. (C)
1. (A)
6. (A)
11. (B)
2. (B)
7. (C)
12. (B)
2. (C)
7. (B)
12. (C)
3. (C)
8. (C)
13. (A)
3. (D)
8. (C)
13. (D)
4. (A)
9. (C)
14. (C)
4. (C)
9. (C)
14. (D)
5. (A)
10. (C)
15. (C)
5. (D)
10. (A)
15. (C)
Unit 3: Coding and Decoding
Unit 4: Ranking Test
1. (D)
6. (C)
11. (A)
1. (C)
6. (A)
11. (B)
2. (A)
7. (A)
12. (B)
2. (D)
7. (C)
12. (B)
3. (A)
8. (C)
13. (B)
3. (D)
8. (C)
13. (D)
4. (A)
9. (B)
14. (A)
4. (A)
9. (C)
14. (B)
5. (D)
10. (A)
15. (B)
5. (A)
10. (C)
15. (C)
Unit 5: Mirror Images
Unit 6: Geometrical Shapes and Solids
1. (D)
6. (A)
11. (C)
1. (D)
6. (A)
11. (C)
2. (B)
7. (A)
12. (C)
2. (A)
7. (C)
12. (C)
3. (C)
8. (A)
13. (D)
3. (A)
8. (C)
13. (C)
4. (C)
9. (B)
14. (A)
4. (C)
9. (B)
14. (C)
5. (A)
10. (B)
15. (B)
5. (A)
10. (C)
15. (D)
2019-20
© Copyright Cuemath
83
Unit 7: Embedded Figures
84
Unit 8: Direction Sense
1. (A)
6. (C)
11. (A)
1. (C)
6. (A)
11. (A)
2. (B)
7. (C)
12. (C)
2. (C)
7. (A)
12. (A)
3. (D)
8. (C)
13. (D)
3. (A)
8. (B)
13. (D)
4. (A)
9. (A)
14. (C)
4. (D)
9. (D)
14. (B)
5. (A)
10. (B)
15. (B)
5. (A)
10. (B)
15. (A)
Unit 9: Days, Dates & Possible combination
Paper test - Full
1. (B)
6. (C)
11. (A)
1. (A)
16. (B)
31. (C)
2. (B)
7. (A)
12. (A)
2. (C)
17. (D)
32. (D)
3. (A)
8. (B)
13. (A)
3. (D)
18. (D)
33. (B)
4. (A)
9. (C)
14. (D)
4. (C)
19. (B)
34. (B)
5. (D)
10. (B)
15. (D)
5. (A)
20. (B)
35. (D)
6. (C)
21. (C)
Unit 10: Analogy & Classification
7. (A)
22. (C)
1. (D)
6. (A)
11. (C)
8. (B)
23. (A)
2. (D)
7. (D)
12. (D)
9. (B)
24. (B)
3. (B)
8. (D)
13. (C)
10. (C)
25. (C)
4. (D)
9. (B)
14. (B)
11. (C)
26. (D)
5. (B)
10. (C)
15. (B)
12. (B)
27. (D)
13. (D)
28. (C)
14. (A)
29. (B)
15. (B)
30. (D)
© Copyright Cuemath
2019-20
What you get 1. Olympiad Practice Book - School Math (print or e-Book) 2. Olympiad Practice Book - Aptitude (print or e-Book) 3. Olympiad Additional Practice e-Book 4. Olympiad Strategy e-Book 5. 4 Olympiad Tests online
How to make the best of this Program The best way to use this program is by creating a two-month learning plan (which can be squeezed if you don't have 2 months). Start by taking the online benchmark test to know the current level of preparation. Then, start with the School Math Practice Book. Complete it before moving to the Aptitude Practice Book. Complete 1 full unit every alternate day. Target completing 3 to 4 units of each week. Once a unit is solved, use the answer key to correct the work. Expect a few mistakes. Ask your child to figure out the mistake and see if they can correct it. The School Math Practice Book also has partial paper-based tests. Take those whenever you reach that point to track performance. The remaining 3 mock olympiad tests can be taken online every 3 weeks. The mock test report will tell you which topics are well understood and which ones need more practice. Giving 3 weeks between two mock tests allows sufficient time to practice the topics that need improvement. For additional practice on specific topics, use the Olympiad Additional Practice e-Book.
Olympiad Practice Book - Aptitude Contents Unit number Unit name
Page number
1
Patterns
3
2
Alphabet Test
9
3
Coding and Decoding
15
4
Ranking Test
21
5
Mirror Images
27
6
Geometrical Shapes and Solids
35
7
Embedded Figures
41
8
Direction Sense
49
9
Days, Dates & Possible combination
57
10
Analogy & Classification
63
Paper test - Full
71
Answer Key
83
G4
Unit 1 — Patterns
Question types Type 1: Find the missing term or next term in the number or letter series to continue the given series in a certain pattern. Type 2: Find the missing numbers in the pattern. Type 3: Find the missing part in the figure pattern.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Q1.
What are the next two numbers in the pattern below? 9 (A) 34, 43
Q2.
12
16
(B) 34, 42
6
? (D) 43, 34
2
3
(A) 146
6
3
7
105
8
7
? 4
(B) 164
9
(C) 192
5 (D) 184
Which numbers will continue the series below? 27 (A) 35, 19
13
29
15
31
(B) 53, 91
17
33
?
(C) 19, 35
?
(D) 35, 53
Find the missing number in the series given below.
(A)
6
4
3
2
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?
(C) 43, 24
110
Q4.
27
Find the missing number. 1
Q3.
21
(B)
6
5
(C)
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6
?
7
(D)
6
5
Q5.
Which figure comes next in the series given below?
? (A)
Q6.
(B)
(C)
(D)
What comes next in the given pattern? [SOF IMO 2014]
? (A)
Q7.
(B)
(C)
(D)
Which of the following options will complete the pattern?
? (A)
Q8.
(C)
(D)
If the given matrix follows a certain rule row-wise or column-wise, then find the missing character.
(A) 1304 6
(B)
(B) 1043
81
70
61
5
14
23
405
980
?
(C) 1403
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(D) 1034 2019-20
Q9.
Which of the following will be the next terms in the given number pattern? 1 (A) 120, 240
Q10.
2
6
24
(B) 240, 720
?
(C) 120, 720
? (D) 120, 60
Which of the following figures will continue the given pattern? [SOF NSO 2015]
?
Q11.
(A)
(B)
(C)
(D)
Find the option which will complete the given pattern.
? (A)
Q12.
(B)
(C)
(D)
Find the missing number, if a certain rule is followed in all the three figures? [SOF IMO 2015] 6
12 15
(A) 8 2019-20
(B) 9
8
13 12
(C) 12 © Copyright Cuemath
?
14 10
(D) 13 7
Q13.
Which of the following options will complete the figure?
? (A)
Q14.
(B)
(D)
Which of the following will be the next terms in the given number pattern? 23 (A) 119, 89
Q15.
(C)
34
47 (B) 89, 119
62
79
(C) 98, 119
?
?
(D) 119, 98
Spot the correct option.
?
8
(A)
(B)
(C)
(D)
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2019-20
G4
Unit 2 — Alphabet Test
Question types Type 1: Rearrange
letters or numbers to form a meaningful word. the word that can/cannot be formed from the given letters.
Type 2: Find
Type 3: Form
a meaningful word and identify an appropriate category.
Type 4: Identify the
combination of letters that has the same number of skipped letters between the adjacent letters.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Directions (Q1 – Q3): In each question, some letters are given which are numbered 1, 2, 3, 4, 5 and 6 followed by four options containing combinations of these numbers. Find the combinations such that letters when arranged accordingly form a meaningful word. Q1.
(A) 532164
W L
O E
F
R
1
3
5
6
2
4
(B) 523146
(C) 231465
(D) 314562
Q2.
(A) 314562
O A
S
E
N S
1
3
4
5
2
(B) 364125
6
(C) 342615
(D) 354621
Q3.
(A) 815269437
E
G B
L
E
T
E
V
A
1
2
4
5
6
7
8
9
3
(B) 826371594
(C) 871423596
(D) 812569347
Directions (Q4 – Q5): Find the category of word formed by rearranging the letters to form a meaningful word. Q4. RTNEIW (A) Fruit
2019-20
(B) Vegetable
(C) Season
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(D) Flower
11
Q5. RAESER
Q6.
(A) Used for writing
(B) Used for weaving
(C) Used for eating
(D) Used for erasing
Find the word which CANNOT be made using the letters of the word given. E D U CATE D (A) DUCK
(B) CUTE
(C) CAT
(D) DATE
Directions (Q7 – Q10): Choose the word that can be formed using the letters of the word given. Q7. PERMANENT (A) MENTOR
(B) TEMPER
(C) PERSIST
(D) PLAYER
Q8. GEOMETRICAL (A) RULER
(B) MENTOR
(C) METER
(D) LOGICAL
Q9. PROGRAMME (A) ROAST
12
(B) GRAMS
(C) MORE
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(D) MORSE
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Q10. C LAS S I FI CATI O N (A) FICTION Q11.
(D) FRACTION
(B) VOIDZWU
(C) TOJEZUP
(D) IGECAYW
Which series follows the rule given? Rule: The number of letters skipped in between adjacent letters in the series decreases by two. (A) FQWBG
Q13.
(C) CAUTION
Which series follows the rule given? Rule: The number of letters skipped between adjacent letters decreases by one. (A) NKHEBV
Q12.
(B) GLASS
(B) TBINO
(C) HQXCF
(D) XFMQU
Find the combination of numbers so that letters can be arranged to form a meaningful word. ABIJLNR 1234567 (A) 2571346
Q14.
(B) 2715346
(C) 2345761
(D) 2736415
Which of these words CANNOT be formed from the letters of the word given? C R EATI O N S (A) REACT
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(B) ACTION
(C) TORN
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(D) HECTARE
13
Q15.
Some letters are given which are numbered 1, 2, 3, 4, 5 and 6 followed by four options containing combinations of these numbers. Find the combinations such that letters when arranged accordingly form a meaningful word.
(A) 67415283
14
D U R
H Y
T
S
A
1
4
6
7
8
2
3
(B) 64538217
5
(C) 64237185
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(D) 68425137
2019-20
G4
Unit 3 — Coding and Decoding
Question types Coding: It is a method of expressing something in a secret way. Decoding: It is a process followed to understand a code language.
Types of Coding 1. Letter coding: Letters are used in forward or backward or both the directions for making some code language. 2. Direct letter coding: Letters of a word are directly replaced by other letters. 3. Number/symbol coding: Numerals or symbols are assigned to words. 4. Substitution coding: Some particular words are assigned to certain names. Note: In questions where you are given ‘‘A’’ means B it implies that ‘‘A’’ is the name given to B in the coded form. This is also equivalent to B is called A.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Directions (Q1 – Q2): Letters in a word given below are replaced by certain other letters according to a specific rule to form its code. Detect the coding pattern/rule and answer the questions below. Q1.
If BEAT is written as 'GIDV', then SOUP may be written as (A) YSXR
Q2.
(C) XSYS
(D) XSXR
If SUGAR is written as 'RPKLU', then GURUS is coded as (A) KPUPR
Q3.
(B) ZSYS
(B) RPVPR
(C) LKRKP
.
.
(D) PKVKR
If America is called 'India', India is called 'China' and China is called 'Japan', then Beijing is a capital of which country? (A) Japan
(B) China
(C) India
(D) America
Directions (Q4 – Q8): In these type of questions, either numerical code values or symbols are assigned to letters. Detect the coding pattern/rule and answer the questions below. Q4.
If CAKE is written as '1234' and TASTE is written as '52754', then EAT is written as . (A) 425
Q5.
(B) 421
(C) 427
(D) 423
If HOTEL is written as '76453', TALL is written as '4233', then HEAT is written as . [SOF NSO 2015] (A) 7523
Q6.
(C) 4752
(D) 7524
If READ is written as '9876', TOP is written as '123', then PORT is written as . (A) 3292
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(B) 7245
(B) 3987
(C) 3291
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(D) 3289 17
Q7.
If BOOK is written as '9227', GROW is written as '3821', then WORK is coded as . (A) 1287
Q8.
(B) 2178
(C) 7821
(D) 8712
If MATH is written as '1729', PRIME is written as '34519', then RITE is written as . (A) 9254
(B) 2945
(C) 4529
(D) 4952
Directions (Q9 – Q10): In these type of questions, some particular words are assigned to certain substituted names. Detect the coding pattern/rule and answer the questions below. Q9.
If Summer is called 'Winter', Winter is called 'Rainy', Rainy is called 'Autumn', then when do you feel hot? (A) Summer
Q10.
(B) lake
(C) well
(D) ocean
(B) Temple
(C) College
(D) Home
If '1' means 2, '2' means 3, '3' means 4, then which comes immediately after 2 when counting? (A) 1
18
(D) Autumn
If College is called 'Ground', Ground is called 'Court', Court is the called 'Hospital' and Hospital is called 'Bank', then where do you go for health check-up? (A) Bank
Q12.
(C) Rainy
If river is called 'lake', lake is called 'well', well is called 'ocean' and ocean is called 'puddle', then which water body is the biggest? (A) puddle
Q11.
(B) Winter
(B) 2
(C) 3
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(D) 4
2019-20
Q13.
If 'square' means circle, 'circle' means triangle and 'triangle' means kite, then which shape has 3 sides? (A) square
Q14.
(D) kite
(B) U
(C) W
(D) X
If TRACE is written as '84632' and EARTH is written as '26487', then TACT is written as . (A) 8631
2019-20
(C) triangle
If 'V' means U, 'W' means V and 'X' means W, then which letter is a vowel? (A) V
Q15.
(B) circle
(B) 8638
(C) 3861
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(D) 1386
19
G4
Unit 4 — Ranking Test
Question types Type 1: Identify the position of an object/a person from the left end or the right end and rank from the top or from the bottom. Type 2: In this type, questions could be asked by interchanging positions of two people. Type 3: Identify the position or rank of an object or person with respect to the position or rank of another person. Type 4: Identify the position of an object or a person after removing some objects from the series.
Date
Number of questions attempted
Number of correct answers
Time taken
Q1.
Rohan ranks 8th from the top and 12th from the bottom in his class. How many students are there in the class? (A) 17
Q2.
(C) 19
(D) 21
Kavya is taller than Chandni and shorter than Sneha only. Chandni is not the shortest. Sneha is taller than Ranjani. Who is the shortest? (A) Kavya
Q3.
(B) 29
(B) Chandni
(C) Sneha
(D) Ranjani
At school, Neha is standing with her classmates in a row. If she is 13th from the right end and 19th from the left end, how many children are standing in the row? [SOF NSO 2014] (A) 29
(B) 28
(C) 32
(D) 31
Directions (Q4 – Q5): Answer the following questions based on the Alphabet. A B C D E F G H I J K L M Q4.
Q5.
What is the position of letter H in the series? (A) 6th from the right
(B) 6th from the left of C
(C) 6th from the left
(D) 6th from the right of D
Which letter is second to the left of the third letter from the right end? (A) I
Q6.
(B) M
(C) L
(D) B
Three people Aditi, Sharique and Nemat are standing in a queue. (i) There are five people between Aditi and Sharique. (ii) There are eight people between Sharique and Nemat. (iii) Aditi is last in the queue. If only three people are ahead of Nemat, what is the number of people in the queue? (A) 19
2019-20
(B) 17
(C) 18
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(D) 20 23
Q7.
In a row of boys, Karthik is 2nd from the front and Santosh is 2nd from the back. If there are 10 boys in the row, then how many boys are there between Karthik and Santosh? (A) 8
Q8.
(B) 9
(C) 6
(D) 5
Santosh is taller than Naveed. Naveed is taller than Manish but shorter than Danish. Santosh is not the tallest. Which of the following is the correct descending order of height? (A) Santosh > Manish > Naveed > Danish (B) Naveed > Manish > Santosh > Danish (C) Danish > Santosh > Naveed > Manish (D) Manish > Danish > Santosh > Naveed
Q9.
If Q and I interchange their positions, then which letter is 5th from the right? A Q R W X P T U I E S V Y Z (A) R
Q10.
(B) U
(C) E
(D) I
Who is farthest from the finish line? Pramod Ajit
Rahul Ritu
John
Rajiv
Ajay Sudha Ali Sahil Finish
(A) Ajit
24
(B) Sahil
(C) Pramod
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(D) Rahul
2019-20
Q11.
Q12.
What is the position of the flower circled?
(A) Third from the left
(B) Fifth from the left
(C) Fourth from the right
(D) Central
If there was no Ice-cream, what would be the position of the football?
Le
Q13.
Right
(A) First from the left
(B) Fourth from the right
(C) Third from the right
(D) Second from the left
Who is the nearest to the Principal's door? him
As
(A) Rohan
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(B) Nakish
a
an
h Ro
l ha
Ni
sh An
(C) Ansh
© Copyright Cuemath
iya
Pr
La
a k
sh
k Na
(D) Ashima
25
Q14.
If the first four numbers of the series below were removed, which number would lie in the middle of series?
31, 22, 37, 44, 35, 6, 7, 8, 19, 10, 11, 72, 83, 14, 95 (A) 19 Q15.
(C) 11
(D) 8
(C) R
(D) S
P and Q weigh equally. R weighs more than Q. S weighs less than P Who is the heaviest? (A) P
26
(B) 10
(B) Q
© Copyright Cuemath
2019-20
G4
Unit 5 — Mirror Images
Question types Mirror Images: The left side of the object becomes right side of the object in mirror images. . Note: If not mentioned, the mirror is assumed to be placed to vertically right of the object.
Date
Number of questions attempted
Number of correct answers
Time taken
Directions (Q1 – Q9): Which of the following figure is the mirror image of Figure (X)? Q1. Figure (X)
S (B)
S
S
S
(A)
Mirror
(C)
(D)
S
(D)
ECAF
Q2. Figure (X)
FACE
(A)
FACE
Mirror
(B)
ECAF
(C)
FACE
Q3. Figure (X)
Mirror
(A)
2019-20
(B)
(C)
© Copyright Cuemath
(D)
29
Q4. Figure (X)
Z
Y
B
C
C B
Z
C
B
(D)
Y
Z
C
Y
Z
(C)
B
Y
P
C
Z
Q
B
R
(B)
S
(A)
Y
Mirror
Q5. Figure (X)
P
Q
R
S
Mirror
R
S
P
Q
(C)
Q
S
(B)
P
P
S
Q
R
(A)
R
(D)
Q6.
Figure (X)
(A)
30
(B)
(C)
© Copyright Cuemath
Mirror
(D)
2019-20
Q7.
Figure (X)
Mirror
(A)
(B)
(C)
(D)
Q8.
Figure (X)
(A)
(B)
Mirror
(C)
(D)
Q9. Figure (X)
Mirror
(A)
2019-20
(B)
(C)
© Copyright Cuemath
(D)
31
Q10.
Q11.
Q12.
If the mirror is placed vertically to the right of the characters below, what will be the reflection look like? Choose the correct option.
(A)
(B)
(C)
(D)
If the mirror is placed horizontally at the bottom of the characters below, what will be the reflection look like? Choose the correct option.
(A)
(B)
(C)
(D)
If the mirror is placed horizontally at the bottom of the figure below, what will be the reflection look like? Choose the correct option.
(A)
32
(B)
(C)
© Copyright Cuemath
(D)
2019-20
Q13.
If the mirror is placed horizontally at the bottom of the figure below, what will be the reflection look like? Choose the correct option.
(A)
Q14.
(D)
(B)
(C)
(D)
If the mirror is placed vertically to the right of the figure below, what will be the reflection look like? Choose the correct option.
(A)
2019-20
(C)
If the mirror is placed vertically to the right of the figure below, what will be the reflection look like? Choose the correct option.
(A)
Q15.
(B)
(B)
(C)
© Copyright Cuemath
(D)
33
G4
Unit 6 — Geometrical Shapes and Solids
Question types Type 1: Identifying the lines of symmetry Type 2: Identifying the geometrical shapes and solid shapes Type 3: Identifying the nets of the solid shapes
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Q1.
Which of the following when folded will not give a cube?
(A)
Q2.
(C) 6
(D) 8
(B) 5
(C) 6
(D) 4
(B)
(C)
(D)
How many lines of symmetry are there in the given figure?
(A) 0 2019-20
(B) 10
Which of the following figures does not have a line of symmetry?
(A) Q5.
(D)
How many rectangles are there in the figure below?
(A) 7 Q4.
(C)
Count the number of triangles in the given figure.
(A) 9 Q3.
(B)
(B) 1
(C) 2
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(D) 3 37
Q6.
Which of the following figures have line of symmetry?
P
Q
R
S
(A) Only P and S (B) Only P and Q (C) Only P, Q and S (D) P, Q R and S
Q7.
Choose the picture which has the correct line of symmetry.
(A)
Q8.
P
S
(B)
(B)
(C)
(D)
(C)
L
(D)
How many curved lines are there? A (A) 4
38
(D)
Based on symmetry, choose the odd one out.
(A)
Q10.
(C)
Choose the picture which has the correct line of symmetry.
(A)
Q9.
(B)
(B) 5
B (C) 6
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C (D) 7
2019-20
Q11.
How many vertical lines are there in the given figure?
(A) 2 Q12.
(B) 4
(C) 6
(D) 8
Identify the shapes in the given figure.
P Q R
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S
P
Q
R
S
(A)
Cone
Circle
Square
Rectangle
(B)
Rectangle
Square
Circle
Cone
(C)
Cone
Rectangle
Circle
Square
(D)
Circle
Square
Rectangle
Cone
© Copyright Cuemath
39
Q13.
How many squares are there in the given figure?
(A) 18 Q14.
(B) 16
(C) 14
(D) 20
How many lines of symmetry does the figure have?
(A) 0 Q15.
(C) 2
(D) 3
How many lines of symmetry does the figure have?
(A) 1
40
(B) 1
(B) 2
(C) 3
© Copyright Cuemath
(D) 4
2019-20
G4
Unit 7 — Embedded Figures
Question types Type 1: A figure is given followed by four option figures in such a way that the question figure is embedded in one of the given four options. Type 2: A question figure is given followed by four option figures in such a way that one of the option figures is embedded inside the given question figure.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Q1.
Which of the following parts is exactly embedded or hidden in Figure (X). Figure (X)
(A)
(B)
(C)
(D)
Directions (Q2- Q3): Find the figure in which the given problem figure is exactly embedded as one of its part. Q2. Problem Figure
(A)
(B)
(C)
(D)
Q3. Problem Figure
(A)
2019-20
(B)
(C)
© Copyright Cuemath
(D)
43
Directions (Q4 – Q5): Which of the following parts is exactly embedded or hidden in Figure (X)? Q4. Figure (X)
(A)
(B)
(C)
(D)
Q5. Figure (X)
(A)
44
(B)
(C)
© Copyright Cuemath
(D)
2019-20
Q6.
Which of the four options exactly matches a part of the figure here?
(A)
Q7.
(D)
(B)
(C)
(D)
Which of the four options exactly matches a part of the figure here?
(A)
2019-20
(C)
Which of the four options exactly matches a part of the figure here?
(A)
Q8.
(B)
(B)
(C)
© Copyright Cuemath
(D)
45
Q9.
Which of the four options has part that exactly matches the figure here?
(A)
Q10.
(D)
(B)
(C)
(D)
Which of the four options exactly matches a part of the figure here?
(A)
46
(C)
Which of the four options has part that exactly matches the figure here?
(A)
Q11.
(B)
(B)
(C)
© Copyright Cuemath
(D)
2019-20
Q12.
Which of the four options has part that exactly matches the figure here?
(A)
Q13.
(D)
(B)
(C)
(D)
Which of the four options has part that exactly matches the figure here?
(A)
2019-20
(C)
Which of the four options has part that exactly matches the figure here?
(A)
Q14.
(B)
(B)
(C)
© Copyright Cuemath
(D)
47
Q15.
Which of the four options has part that exactly matches the figure here?
(A)
48
(B)
(C)
© Copyright Cuemath
(D)
2019-20
G4
Unit 8 — Direction Sense
Question types Directions:
North North-East
North-West West South-West
East
South
South-East
Type 1: Clockwise turn (right turn): Moving in the direction of the clock is called clockwise direction. N
W
E
S
Type 2: Anticlockwise turn (left turn): Moving in the opposite direction of the clock is called anticlockwise direction.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Directions (Q1 – Q3): Answer the questions based on directions and places given in the figure. school
home
park
Manan
church
Q1.
(C) church
(D) park
(B) mall
(C) park
(D) library
(B) mall
(C) park
(D) home
A and B interchange their positions and C and D interchange their positions. What will be towards the west of C?
(A) A
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(B) library
Manan is facing the school. What will he be facing if he makes a three fourth turn clockwise? (A) church
Q4.
post office
temple
Manan is facing the mall. What will he be facing if he makes a half turn clockwise? (A) school
Q3.
mall
Manan is facing school. What will he be facing if he makes a one fourth anticlockwise? (A) school
Q2.
library
(B) B
A
B
C
D (C) C
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(D) D
51
Directions (Q5 – Q6): Use the figure given below to answer the questions. W N L
X
E
W
Z
S M
Q5.
(B) W
(C) Z
(D) N
(C) M
(D) N
Which point is north of Z? (A) W
Q7.
Y
Which point is west of L? (A) X
Q6.
N
(B) L
Navneet is facing the restaurant. He makes a three fourth turn clockwise and half a turn in clockwise direction. What is the shortest turn that he could make in order to face the bookstore? bookstore
restaurant
Navneet's house
post office
school
temple
pond mall
park
(A) three eighth turn anticlockwise (B) five eighth turn clockwise (C) five seventh towards right
52
(D) seven eighth towards left
© Copyright Cuemath
2019-20
Q8.
If you are facing southeast as indicated in the image, which direction will you be facing if you turn 90° clockwise and then 315° anticlockwise? N NW
SW
Q9.
E
You
W
(A) East
NE
(B) West
SE S
(C) South
(D) North
If you are facing west as indicated in the image, which direction will you be facing if you turn 360° clockwise and then 225° anticlockwise? N NW
SW
Q10.
(B) Southeast
SE S
(C) Northwest
(D) Northeast
If you are facing East, which direction will you be facing if you turn half rotation anticlockwise? (A) East
2019-20
E
You
W
(A) Southwest
NE
(B) West
(C) South
© Copyright Cuemath
(D) North
53
Q11.
If you are facing the school initially as shown in the image, which place will you be facing if you turn 71° clockwise and 26° anticlockwise? Mall Hospital
Park
Pond
Temple
You
Library
Office School
(A) Office Q12.
(B) Library
(C) Mall
Which points lie exactly to the North of Point Z? A
B
P W L
(A) D, S
Q13.
C
Q
R
X
Y
M
N
(B) M, N
D
S Z
S
O
(C) W, X
(D) O, Z
Which points lie exactly to the Northwest of Point X? P
S
V
(A) Q and S
54
(D) Park
Q T
W
(B) Q and U
R
U
W
X
(C) S and W
© Copyright Cuemath
(D) P and T
2019-20
Q14.
If you face a temple initially as shown in the image, which place will you be facing if you turn 252° clockwise and 117° anticlockwise? Mall Hospital
Pond
Park
You
Temple
Library
Office School
(A) Library
Q15.
(B) School
(C) Office
(D) Hospital
If you face a mall initially as shown in the image, which place will you be facing if you turn 61° clockwise and 16° anticlockwise? Mall Hospital
Pond
Park
You
Temple
Library
Office School
(A) Park
2019-20
(B) Temple
(C) Hospital
© Copyright Cuemath
(D) School
55
G4
Unit 9 — Days, Dates & Possible combination
Question types Type 1: Days of the week Type 2: Calendars Type 3: Finding the combination of different objects
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Q1.
If yesterday was Monday what will be day after tomorrow? (A) Friday
Q2.
(C) 24
(D) 14
(B) 28
(C) 36
(D) 34
(B) 16th
(C) 18th
(D) 19th
Nikhil started some work on Tuesday. He promised his mother that he will complete the whole work in 5 days. On which day will he complete the work? (A) Sunday
2019-20
(B) 12
If today is Monday, 22nd July, then the previous Monday fell on which date? (A) 15th
Q5.
(D) Tuesday
In a birthday party, 7 friends met. Each friend shook hands with each other exactly once. How many handshakes are there? (A) 21
Q4.
(C) Wednesday
How many possible combinations of one shirt and one pant are possible from a set of 3 shirts and 4 pants? (A) 7
Q3.
(B) Thursday
(B) Monday
(C) Tuesday
© Copyright Cuemath
(D) Saturday
59
Q6.
Starting on the first Thursday of November 2012, Shobana practices every second day until the end of the month. How many days in all does Shobana practice for? November, 2012 Sunday
Monday
Tuesday Wednesday Thursday 1
(A) 13 days
Q7.
(D) 16 days
(B) 64
(C) 49
(D) 15
(B) 7.10 PM
(C) 7.20 PM
(D) 7.05 PM
(B) 8
(C) 16
(D) 15
How many possible combinations of 1 shirt and 1 shorts can be formed from 5 shirts and 5 shorts? (A) 20
60
3
How many possible combination of one pencil and one eraser from 4 pencils and 4 erasers can be formed? (A) 10
Q10.
2
If a clock shows 6.15 PM now and is 30 minutes slow, then what will be the correct time after 25 minutes? (A) 7.15 PM
Q9.
(C) 15 days
Saturday
How many possible combinations of 1 pencil and 1 eraser are there in eight pencils and seven erasers? (A) 56
Q8.
(B) 14 days
Friday
(B) 25
(C) 30
© Copyright Cuemath
(D) 35
2019-20
Directions (Q11 – Q12): Observe the given calendar carefully and answer the following questions. August 2016 Sun
Q11.
Mon
Tues
Wed
Thurs
Fri
Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
If Mohit’s interview falls just after the third Monday of August 2016, then on which date does Mohit have his interview? (A) 15th August (B) 16th August (C) 22nd August (D) 23rd August
Q12.
Siddharth’s birthday falls on the day just before the fourth Monday of August 2016. On which date, did Siddharth celebrate his birthday? (A) 21st August
Q13.
(B) 30th August
(C) 28th August
(D) 29th August
Vidya started making model on 22nd October 20XX. Her teacher asked her to submit the model on second day after fourth Sunday of October 20XX. On which date will she submit her model ? October 20XX Sun
7
Mon
Tues
Wed
Thurs
Fri
Sat
1
2
3
4
5
6
8
9
10
11
(A) 30th October (B) 17th October (C) 13th October (D) 20th October
2019-20
© Copyright Cuemath
61
Q14.
Alex's swimming competition was held for four days before 2nd Friday of June 20XX. The date on which Alex's swimming competition started was? June 20XX Sun
Mon
Wed
Thurs
Fri
Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
(A) 7th June Q15.
Tues
(B) 20th June
(C) 2nd June
(D) 5th June
If Arjun birthday falls just before 4th Wednesday of July 20XX, then on which date will he be celebrating his birthday? July 20XX Sun
Tues
Wed
Thurs
Fri
Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
(A) 30th July
62
Mon
(B) 28th July
(C) 22nd July
© Copyright Cuemath
(D) 23rd July
2019-20
G4
Unit 10 — Analogy & Classification
Question types Type 1: A pair of related terms/figures is provided and a similar relationship is to be established between two other terms/figures or another pair to identify the missing term/figure. Type 2: A set of terms/figures is given in which all, except one follows similar properties. Students are required to identify the property followed in the set and find the odd one out.
To be filled after solving the unit. Date
Number of questions attempted
Number of correct answers
Time taken
Directions (Q1 – Q5): There is a certain relationship between the pair of figures on the either side of ::. Identify the relationship and find the missing figure. Q1.
W
M
::
(B)
(C)
W: ? W
(D)
W
(A)
:
M
M
Q2.
:
(A)
2019-20
(B)
::
(C)
© Copyright Cuemath
:
?
(D)
65
Q3.
:
(A)
(B)
::
?
:
(C)
(D)
Q4.
:
(A)
(B)
::
:
(C)
?
(D)
Q5.
:
(A)
66
(B)
::
(C)
© Copyright Cuemath
:
?
(D)
2019-20
Directions (Q6 – Q10): Find the odd one out. Q6.
(A)
E
(B)
M
(C)
A
(D)
T
Q7.
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
Q8.
Q9.
(A)
2019-20
5
(B)
8
(C)
© Copyright Cuemath
7
(D)
8
67
Q10.
(A)
(B)
(C)
(D)
Directions (Q11 – Q15): The first two figures are related. Choose an option that establishes the same rotation between the third and fourth figure. Q11.
?
(A)
(B)
(C)
(D)
Q12.
? (A)
68
(B)
(C)
© Copyright Cuemath
(D)
2019-20
Q13.
? (A)
(B)
(C)
(D)
Q14.
? (A)
Q15.
(C)
(D)
Which of the following figure same as the given figure?
(A)
2019-20
(B)
(B)
(C)
© Copyright Cuemath
(D)
69
G4
Paper test - Full
Instructions • Please use OMR sheet to answer the questions. • Submit the answered OMR sheet to your teacher.
APTITUDE Q1.
Find the missing number, if a certain rule is followed either row-wise or column-wise.
(A) 58 Q2.
Q3.
14
15
10
12
14
44
52
?
(B) 51
(C) 31
(D) 63
Find the combination of numbers, so that the given letters are arranged accordingly to form a meaningful word. B
E
O L
I
M
1
2
3
5
6
4
(A) 6, 5, 3, 1, 4, 2
(B) 6, 3, 2, 4, 5, 1
(C) 6, 3, 1, 5, 4, 2
(D) 6, 3, 5, 1, 4, 2
In a certain code language, if 'ROLE' is written as '@#$%' and 'FIND' is written as '^&*!', then how is 'LEND' written in the that code language? (A) $%!*
2019-20
12
(B) $#&*
(C) #$^&
© Copyright Cuemath
(D) $%*!
71
Q4.
If Ansh leaves the row, then who will be at the fourth position from the last? a
him
As
(A) Priya Q5.
(B) Nakish
an
h Ro
l ha
Ni
sh An
(C) Nihal
iya
Pr
La
a k
sh
k Na
(D) Ashima
Find the mirror image of Fig. (X).
Fig. (X) (A)
Q6.
(C)
(D)
Which of the following figures has at least one line of symmetry? (A)
72
(B)
(B)
(C)
© Copyright Cuemath
(D)
2019-20
Q7.
Which of the following figures is exactly embedded in the Figure X?
(A)
Q8.
(B)
(D)
Manan is facing the school. He makes a one-fourth turn to his right and then he makes half a turn left. What will he be facing now? school
home
park
Manan
church (A) school
2019-20
(C)
library
mall
post office
temple
(B) church
(C) library
© Copyright Cuemath
(D) park
73
Q9.
If Mary's birthday falls just before third Sunday of September, then on which date will she be celebrating her birthday? September 20XX Sun Mon Tues Wed Thurs
Q10.
Fri
Sat
7
1 8
2 9
3 10
4 11
5 12
6 13
14
15
16
17
18
19
20
21 28
22 29
23 30
24 31
25
26
27
(A) 21st September
(B) 20th September
(C) 27th September
(D) 28th September
Identify the missing figure based on the relationship between the first two figures.
? (A)
74
(B)
(C)
© Copyright Cuemath
(D)
2019-20
MATHEMATICAL REASONING Q11.
Q12.
Select the odd one out. (A) 100 tens
(B) 10 hundreds
(C) 100 hundreds
(D) 1 thousand
Round off 56741 to the nearest thousands. (A) 56800
Q13.
(B) 57000
(D) 58000
Which of the following is not a common factor of 36 and 18? (A) 6
Q14.
(C) 60000
(B) 9
(C) 3
(D) 8
Find the missing number.
90 9 3 (A) 2 Q15.
3
5
?
(C) 4
(D) 5
Which symbol can make the number statement true? 3 4 (A) <
2019-20
(B) 3
10
1 2 (B) >
(C) =
© Copyright Cuemath
(D)
Can't be determined
75
Q16.
Q17.
36 is same as 72 2 (A) 3
1 2
(C)
3 4
(D)
4 5
The cost of 1 kg of garlic is `96 rupees, then what is the cost of 250 g? (A) `25
Q18.
(B)
(B) `23
(C) `48
(D) `24
Each fruit has a different value. The sum of each row and column is given. Find the value of
+
+
?
700 800 ?
(A) 900 Q19.
(B) 700
600
(C) 600
(D) 800
Consider the triangle shown and select the correct option. X
Y Z (A) If XY = YZ and ∠X = 90°, then ∆XYZ is an acute angled triangle. (B) If XY = YZ and ∠Y = 90°, then ∆XYZ is a right angled isosceles triangle. (C) If XY = ZX = YZ, then ∆XYZ is not an equilateral triangle. (D) All three options are correct. 76
© Copyright Cuemath
2019-20
The graph shows the amount of cakes sold in a shop for 4 days. Amount of cakes sold (in kg)
Q20.
350 300 250 200 150 100 5 0
Monday
Tuesday
Wednesday
Thursday
If 3 kg of cake costs `300, then how much money was spent on Thursday? (A) `90000
(B) `30000
(C) `20000
(D) `3000
DAILY MATHEMATICS Q21.
How many cubes are there in the given figure?
(A) 24 Q22.
(C) 48
(D) 42
A town has a population of 89361. Round off the population to the nearest hundreds. (A) 89300
2019-20
(B) 40
(B) 89000
(C) 89400
© Copyright Cuemath
(D) 89360
77
Q23.
How many seconds are there in a day? (A) 86400
Q24.
(D) 10000
(B) 5600
(C) 5750
(D) 5550
A supermarket has 110 racks of eggs. Each rack has 15 crates of eggs. Each crate has 50 eggs. What is the total capacity of eggs in the supermarket? (A) 82000
Q26.
(C) 3600
On a Sunday John drove 2141 km, on Monday he drove another 3212 km and on Tuesday he drove another 322 km. Approximately, how many kilometres did he drive in all three days? (A) 5800
Q25.
(B) 43200
(B) 83400
(C) 82500
(D) 85200
Ram puts the cards shown below into a basket and mixed them up.
E V A C U A T I O N What fraction of letters on the cards are vowels? (A) Q27.
(B)
6 11
(C)
4 10
(D)
3 5
The given list shows the names of students who recently enrolled for Cuemath program. What fraction of names are starting from D?
(A) 78
2 5
5 13
(B)
Davis
Daniel
John
Mike
Deepak Ann
Mary Sam
Dennis
Ram
Divith
Shyla
5 10
(C)
© Copyright Cuemath
6 11
(D)
5 12 2019-20
Q28.
Mary went to a theme park. She bought two tickets for a 3D show at a rate of `500 per ticket. After that she bought 2 ice creams for `30 each and 3 packets of chips. What information is required to find the total amount spent by Mary? (A) The number of people who attended the 3D show. (B) The flavor of the ice cream. (C) Cost of a packet of chips. (D) Cost of an ice cream.
Q29.
Dennis made a shape by folding the given cardboard along the dotted lines. Which shape did Dennis make?
(A)
Q30.
(B)
(C)
(D)
Rosy bought a plot of land whose dimensions are given below. What is the distance she has to cover if she has to plant trees along the sides of the land? 5m
5m
6m 7m
(A) 26 m
2019-20
(B) 23 m
(C) 25 m
© Copyright Cuemath
(D) 29 m
79
HIGHER ORDER THINKING SKILLS Q31.
Rekha cooks 8 kg of rice every month. For how long can she cook if she has 50 kg of rice? (A) Exactly 8 months (B) Exactly 9 months (C) Less than 8 months (D) More than 8 months but less than 9 months
Q32.
Q33.
Match the following. P
Predecessor of 878563
(i)
Q
Largest 5-digit number
(ii) 878562
R
Place value of 5 is 500
(iii) 879000
S
878563 when rounded to nearest 1000
(iv) 878563
(A)
P
(iii),
Q
(iii),
R
(iv),
S
(ii)
(B)
P
(ii),
Q
(iii),
R
(iv),
S
(i)
(C)
P
(i),
Q
(iv),
R
(iii),
S
(ii)
(D)
P
(ii),
Q
(i),
R
(iv),
S
(iii)
Find the number. • I am 5-digit number • I have 2 even and 3 odd digits • The sum of all digits adds up to 19 • The one's and thousand's digits are same (A) 57252
80
99999
(B) 32572
(C) 75232
© Copyright Cuemath
(D) 22357
2019-20
Q34.
In a pond, there are 10 tortoises, 30 fishes, 20 frogs. Which of the following statement is incorrect? (A) One-sixth of animals in the pond are tortoises. (B) One-third of the animals in the pond are fishes. (C) One-third of the animals in the pond are frogs. (D) In total there are 60 animals in the pond.
Q35.
Sara wants to go home from her school. She decides to take the shortest. Which of the following is the best route? Bus stop
4 km
Library
Bank
5 km 4 km
2 km
3 km
Home
2 km 7 km
School
3 km
Park
3 km
2019-20
3 km
Mall
4 km
Hospital
Home
Bank
Home
(A) School
Mall
(B) School
Library
(C) School
Park
Home
(D) School
Bank
Home
© Copyright Cuemath
Hospital
81
Answer Key
Unit 1: Patterns
Unit 2: Alphabet Test
1. (B)
6. (D)
11. (C)
1. (A)
6. (A)
11. (B)
2. (B)
7. (C)
12. (B)
2. (C)
7. (B)
12. (C)
3. (C)
8. (C)
13. (A)
3. (D)
8. (C)
13. (D)
4. (A)
9. (C)
14. (C)
4. (C)
9. (C)
14. (D)
5. (A)
10. (C)
15. (C)
5. (D)
10. (A)
15. (C)
Unit 3: Coding and Decoding
Unit 4: Ranking Test
1. (D)
6. (C)
11. (A)
1. (C)
6. (A)
11. (B)
2. (A)
7. (A)
12. (B)
2. (D)
7. (C)
12. (B)
3. (A)
8. (C)
13. (B)
3. (D)
8. (C)
13. (D)
4. (A)
9. (B)
14. (A)
4. (A)
9. (C)
14. (B)
5. (D)
10. (A)
15. (B)
5. (A)
10. (C)
15. (C)
Unit 5: Mirror Images
Unit 6: Geometrical Shapes and Solids
1. (D)
6. (A)
11. (C)
1. (D)
6. (A)
11. (C)
2. (B)
7. (A)
12. (C)
2. (A)
7. (C)
12. (C)
3. (C)
8. (A)
13. (D)
3. (A)
8. (C)
13. (C)
4. (C)
9. (B)
14. (A)
4. (C)
9. (B)
14. (C)
5. (A)
10. (B)
15. (B)
5. (A)
10. (C)
15. (D)
2019-20
© Copyright Cuemath
83
Unit 7: Embedded Figures
84
Unit 8: Direction Sense
1. (A)
6. (C)
11. (A)
1. (C)
6. (A)
11. (A)
2. (B)
7. (C)
12. (C)
2. (C)
7. (A)
12. (A)
3. (D)
8. (C)
13. (D)
3. (A)
8. (B)
13. (D)
4. (A)
9. (A)
14. (C)
4. (D)
9. (D)
14. (B)
5. (A)
10. (B)
15. (B)
5. (A)
10. (B)
15. (A)
Unit 9: Days, Dates & Possible combination
Paper test - Full
1. (B)
6. (C)
11. (A)
1. (A)
16. (B)
31. (C)
2. (B)
7. (A)
12. (A)
2. (C)
17. (D)
32. (D)
3. (A)
8. (B)
13. (A)
3. (D)
18. (D)
33. (B)
4. (A)
9. (C)
14. (D)
4. (C)
19. (B)
34. (B)
5. (D)
10. (B)
15. (D)
5. (A)
20. (B)
35. (D)
6. (C)
21. (C)
Unit 10: Analogy & Classification
7. (A)
22. (C)
1. (D)
6. (A)
11. (C)
8. (B)
23. (A)
2. (D)
7. (D)
12. (D)
9. (B)
24. (B)
3. (B)
8. (D)
13. (C)
10. (C)
25. (C)
4. (D)
9. (B)
14. (B)
11. (C)
26. (D)
5. (B)
10. (C)
15. (B)
12. (B)
27. (D)
13. (D)
28. (C)
14. (A)
29. (B)
15. (B)
30. (D)
© Copyright Cuemath
2019-20
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