G4_sm-3.pdf

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 - School Math Contents Unit number Unit name

Page number

1

Number Sense

3

2

Computation Operations

9

3

Fractions

15

Paper test - Part 1

21

4

Length, Weight, Capacity, Time, and Money

27

5

Geometry

33

6

Data Handling

39

Paper test - Part 2

45

Answer Key

51

G4

Unit 1 — Number Sense

Topics covered • Numerals and number names of numbers with 4 or more than 4–digits. • Place value in the Indian and International system. • Roman numerals up-to 1000. • Rounding of to nearest tens, hundreds, thousands. • Formation of a number using given information. • Expanded form. • Ascending and descending order.

To be filled after solving the unit. Date

Number of questions attempted

Number of correct answers

Time taken

MATHEMATICAL REASONING Q1.

Fifty seven thousand six hundred forty two is the same as . (A) 57624

(B) 57642

(C) 56742

(D) 56472

Directions (Q2 – Q3): Using the digits {8, 0, 6, 3, 5} only once each, answer the following questions. Q2.

The largest 5-digit number that can be formed is (A) 86503

Q3.

Q5.

(B) 86035

(C) 68053

The expanded form of 59861 is

(D) 80653 .

(D) 86053

.

(A) 50000 + 9000 + 800 + 60 +1

(B) 5000 + 90000 + 80 + 600 + 1

(C) 5 + 90000 + 800 + 60 + 1

(D) 5000 + 9000 + 80 + 60 + 1

Form the largest 4-digit number using the numbers 3, 5 and 6 having each digit at least once. (A) 6536

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(C) 86530

The largest 5-digit number with 0 in the hundreds place is (A) 68035

Q4.

(B) 85630

.

(B) 6653

(C) 6666

© Copyright Cuemath

(D) 5635

5

Q6. 3809

3899

3860

3890

A

B

C

D

Which of the following statements is true? (A) A < B < C < D

(B) B > D > C > A

(C) B > C > D > A

(D) A < D < C < B

Directions (Q7 – Q9): Using the table given below answer the following questions. Roman Numerals

I

V

X

L

C

Hindu-Arabic Numerals

1

5

10

50

100

Q7.

(C) 2600

(D) 2400

(B) 158

(C) 518

(D) 156

(C) IXIV

(D) XXIV

(B) XIX

Which number has an 8 in the thousands place? (A) 73862

6

(B) 2500

Which of these has no meaning? (A) XV

Q10.

500 1000

CLVIII = ? (A) 155

Q9.

M

MMDC = ? (A) 2000

Q8.

D

(B) 78413

(C) 64879

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(D) 45786

2019-20

DAILY MATHEMATICS Q11.

A city has a population of 92632. What is the city's population rounded off to the nearest thousand? (A) 93000

Q12.

(B) 92000

(C) 92600

(D) 92630

The estimated cost to build a new building is ` Ninety eight thousand. What is this number in standard form? (A) `90,800

(B) `98,000

(C) `90,800,000

(D) `98,000,000

HIGHER ORDER THINKING SKILLS Q13.

2019-20

Match the following. (i)

786499 is rounded off to hundred thousand

(W) 6000

(ii)

Predecessor of 786500

(X) 78600

(iii)

Place value of 6 in 786500

(Y) 800000

(iv)

78643 is rounded off to nearest hundreds

(Z) 786499

(A) (i)

Y

(ii)

W

(iii)

Z

(iv)

X

(B) (i)

Y

(ii)

Z

(iii)

W

(iv)

X

(C) (i)

Y

(ii)

W

(iii)

X

(iv)

Z

(C) (i)

Y

(ii)

Z

(iii)

X

(iv)

W

© Copyright Cuemath

7

Q14.

Compare and fill using >, < or =.

(A) <, < Q15.

CCL

(b) XLV

LXV

(B) >, >

(C) >, <

(D) <, >

Identify the number. • • • •

5 digit number. It is a palindromic of the form ABCBA. Digit in hundreds place is neither positive nor negative. All the other digits are odd and add to 12.

(A) 51051

8

(a) CLV

(B) 15015

(C) 51015

© Copyright Cuemath

(D) 10551

2019-20

G4

Unit 2 — Computation Operations

Topics covered • Addition and Subtraction of numbers with 4 or more than 4-digits. • Estimate sum and difference, by rounding off. • Estimate multiplication by rounding off. • Division of up to 5-digit numbers with 1, 2-digit numbers. • Multiplication of 3-digit numbers with 1, 2, 3-digit numbers. • Estimate division by rounding off. • Properties of arithmetic operations. • Factors and multiples, common factors and multiples. • Prime factors of numbers.

To be filled after solving the unit. Date

Number of questions attempted

Number of correct answers

Time taken

MATHEMATICAL REASONING Q1.

Q2.

Q3.

Which of the following expressions is not true? (A) 13 × 79 = 79 × 13

(B) 13 + 79 = 79 + 13

(C) 13 × 79 = 79 ÷ 13

(D) 13 × 79 =13 × (70 + 9)

Which model represents 5 × 3? (A)

(B)

(C)

(D)

Prakash arranged some tiles in the pattern shown below. Which number sentence best represents his arrangement?

(A) 9 + 3 = 12

Q4.

(C) 27 + 3 = 30

(D) 27 – 3 = 24

Which of the following shows the common factors of 24 and 30? (A) 2 and 4

2019-20

(B) 3 × 9 = 27

(B) 2 and 3

(C) 3 and 5

© Copyright Cuemath

(D) 2 and 5

11

Q5.

There are 7 rows of seats in a theatre. Each row has the same number of seats. If there is a total of 245 seats, how many seats are there in each row? (A) 238

Q6.

If for 20,

(B) 49

(C) 35

(D) 252

stands 

stands for 3,

stands for 7,

stands for 100,

stands for? (A) 426

Q7.

(C) 462

(D) 492

Nemat read a 490 page book in 7 days. He read the same number of pages each day. How many pages did he read each day? (A) 490

Q8.

(B) 429

(B) 70

(C) 483

(D) 3430

Here's how Ranjani solved the division problem given to her. Which expression can be used to check her answer?

641 4 2565 –2564 1 (A) (641 × 1) + 4

12

(B) (641 × 4) + 4

(C) (641 × 4) + 1

© Copyright Cuemath

(D) (641 × 1) + 1

2019-20

Q9.

A company paid ` 91713 as air fare for 19 tickets from Mumbai to Chennai. What was the fare of one ticket? (A) `4800

Q10.

+



+

(B) `4892

+

+

+

(A) 3

+ +

=

(C) `5297

(D) `4827

= 50 = 31

. (B) 6

(C) 7

(D) 9

DAILY MATHEMATICS Q11.

There were 6259 people at the fair on Saturday and 7653 people on Sunday. Which is the best estimate of the total number of people at the fair over the weekend? (A) 14500

Q12.

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(B) 13500

(C) 13000

(D) 14000

Nikhil has a ball of string 7 yards long. He needs 24 feet of string for a project. What should Nikhil do first to find out the length of string, he needs? (1 yard = 3 feet) (A) Multiply 21 by 3

(B) Multiply 24 by 3

(C) Multiply 7 by 24

(D) Multiply 7 by 3

© Copyright Cuemath

13

HIGHER ORDER THINKING SKILLS Q13.

The letters P and Q stand for numbers. If P – 150 = Q – 150, which expression is true? (A) P = Q – 300 (B) P = Q

(C) P > Q

(D) P = Q + 300

Q14. +

+

+ = ` 1710

+

+ –

= ` 230 +

+

(A) `4170

Q15.

If

+

value of

14

+

+

+++

(A) 2925

+

(B) `2230

+

= ` 2460

(B) 375

=?

(C) `4400

= 375 and

+

–4×

(D) `2210

= , then the

=? (C) 1875

© Copyright Cuemath

(D) 195

2019-20

G4

Unit 3 — Fractions

Topics covered • Fractions of shaded and unshaded parts. • Writing the fraction in its simplest form. • Equivalent fractions. •  Comparing fractions (greater or smaller), arranging fractions in ascending or descending order. • Convert improper fraction into mixed fraction and vice versa. • Addition, subtraction, multiplication and division of fractions.

To be filled after solving the unit. Date

Number of questions attempted

Number of correct answers

Time taken

MATHEMATICAL REASONING Q1.

Which of the following yields 3 wholes? (A) 2 halves

Q2.

19 14

(D) 2 fourths

(C)

20 21

(D)

(B) 21

(C) 12

31 23

3 ? = 7 49

(D) 17

What is the value of 7 times of 25 ? 91 75 13

(B)

25 13

(C)

75 91

(D)

27 91

In a basket, these are 7 apples, 9 oranges and 3 bananas. Which fraction represents apples as a fraction of all fruits? (A)

2019-20

21 11

*' if

(A)

Q5.

(B)

Which of the following options will replace ' (A) 7

Q4.

(C) 6 halves

Which of the following shows a fraction whose numerator is less than the denominator? (A)

Q3.

(B) 5 thirds

7 12

(B)

9 19

(C)

© Copyright Cuemath

3 19

(D)

7 19

17

Q6.

Q7.

Which of the following set of fractions are in ascending order? (A)

4 2 7 5 , , , 8 8 8 8

(B)

1 3 7 9 , , , 5 5 5 5

(C)

5 3 2 1 , , , 3 3 3 3

(D)

2 4 7 6 , , , 9 9 9 9

(C)

32 18

What is the value of 12 × 20 ? 5 13 (A)

Q8.

12 18

18

8 13

(D)

48 13

Which fraction represents given model?

(A) 2

Q9.

(B)

1 3

(B) 2

2 3

(C) 2

1 4

Which of the following represents the fraction

(A)

(B)

(C)

(D)

© Copyright Cuemath

(D) 2

3 4

35 ? 100

2019-20

Q10.

What fraction of the figure is unshaded?

(A)

5 16

(B)

7 16

(C)

5 12

(D)

7 12

DAILY MATHEMATICS Q11.

Aarti bought 5 1 kg potatoes, 2 3 kg tomatoes and 3 1 kg peas. How 4 4 2 much weight did she carry home? (A) 9

Q12.

1 kg 4

Meera bought

(B) 11

1 kg 2

(C) 13

1 kg 2

(D) 10

1 kg 2

13 2 m green fabric and m purple fabric. How much 16 16

more green fabric than purple fabric did Meera buy? (A)

2019-20

11 16

(B)

15 16

(C)

© Copyright Cuemath

26 16

(D)

2 13

19

HIGHER ORDER THINKING SKILLS Q13.

Which number should come in place of '?' so that sum of each arm is the same? 5 21 2 21 3 21

7 21

4 21

?

2 21

5 21 6 21

(A)

Q14.

9 21

(C)

6 21

1 8

(B)

3 8

(C)

5 8

(D)

+

3 21

 ?

+

(D)

6 8

(D)

2 2 > 4 3

Which statement represents the given model?

(A)

20

(B)

What is the value of the shaded portion  (A)

Q15.

2 21

1 2 = 3 4

(B)

1 1 > 4 3

(C)

© Copyright Cuemath

2 2 < 4 3

2019-20

G4

Paper test - Part 1

Topics covered

Instructions

• Number Sense

• Please use OMR sheet to answer the questions.

• Computation Operations

• Submit the answered OMR sheet to your teacher.

• Fractions

MATHEMATICAL REASONING Q1.

100 hundreds =

.

(A) 10 thousand (B) 1 thousand Q2.

Q4.

(B) 95752

(C) 95857

(D) 55555

Which of the following is NOT true? (A) 10 × 100 = 100 × 10

(B) 1000 × 10 = 100 × 100

(C) 100 × 100 = 10 × 100

(D) 100 × 100 = 100 × (50 + 50)

Which of the following are the common factors of 24 and 32? (A) 2 and 8

Q5.

(D) 100 tens

Which among the following is the largest five-digit number formed with 5 in the ten's place? (A) 95053

Q3.

(C) 1 lakh

(B) 4 and 6

(C) 6 and 8

(D) 3 and 8

Find the missing number. 48 ? 4

(A) 2 2019-20

(B) 4

6 2

3

(C) 6 © Copyright Cuemath

2

(D) 8 21

Q6.

How many one-thirds will make one whole? (A) 5

Q7.

4 times of (A)

Q8.

(C) 4

25 = 100

1 4

(D) 6

. (B) 1

(C)

25 20

(D)

29 100

4 6

(D)

1 4

What fraction of the image is shaded?

(A)

Q9.

(B) 3

1 3

(B)

4 10

(C)

Use the table to answer the question. Roman Numerals

I

V

X

L

C

Hindu Arabic Numbers

1

5

10

50

100

D

M

500 1000

XL = (A) 10 + 50 Q10.

(C) 50 – 10

(D) 100 + 50

A bag had 10 red marbles, 8 blue marbles, 5 green marbles and 12 yellow marbles. All are of the same size. What fraction of the marbles are not red? (A)

22

(B) 10 – 50

10 30

(B)

5 7

(C)

© Copyright Cuemath

35 10

(D)

30 10

DAILY MATHEMATICS Q11.

Sonal has cards with some shapes on it. What fraction of cards have circle on them?

(A)

Q12.

6 5

(C)

3 10

(D)

8 11

(B)

5 6

(C)

3 18

(D)

18 15

(B) 200

(C) 220

(D) 210

The total population of a colony is 5280. Out of which there are 2300 men and 2020 women. How many children are there in the colony? (A) 980

2019-20

5 11

Ricky bought 11 boxes of cupcakes. Each box had 20 cupcakes. What is the total number of cupcakes he bought? (A) 240

Q14.

(B)

Danish bought 18 mangoes out of which 3 are rotten. What fraction of the mangoes are good? (A)

Q13.

3 11

(B) 960

(C) 1000

© Copyright Cuemath

(D) 950

23

Q15.

The cost of a book is `25. A school orders 150 boxes of books. Each box contains 50 books. What is the total cost of all the books? (A) `178500

(B) `187500

(C) `208750

(D) `3750

HIGHER ORDER THINKING SKILLS Q16.

Charan thinks of number and gives the following clues. • • • •

It is a 5-digit odd number. The number has three even digits. The thousands place is the smallest prime number. The hundred's place has largest 1-digit even number. What could be Charan's secret number?

(A) 42857 Q17.

(B) 41957

(C) 52897

(D) 62896

Each letter represents a different digit. The same letter represents the same digit. Find the values of X and Y. X + X (A) 6, 4

(B) 4, 6

X X Y

(C) 8, 6

(D) 4, 8

(C) 400

(D) 100

Q18.

 +  +  +  = 1000  +  = 500  +  = 200 ++= (A) 500

24

(B) 600

© Copyright Cuemath

2019-20

Q19.

A part of the set of cards are shaded.

Which of the following set of circles represents the same shaded fraction?

Q20.

(A)

(B)

(C)

(D)

A bag contains 4 different types of balls. There are 12 red balls, 3 blue balls, 4 white balls and 5 yellow balls. Which statement is true about white balls? (A) One-fourth of the balls in the bag are white. (B) White coloured balls are the least in the bag. (C) One-sixth of the balls in the bag are white. (D) There are more white balls than yellow balls.

2019-20

© Copyright Cuemath

25

G4

Unit 4 — Length, Weight, Capacity, Time and Money

Topics covered • Conversion of units of time, weight, length and money. • Passage of time. • Measuring weights/lengths using weighing scale/ruler. • Comparing weights/lengths. • Calculating money.

To be filled after solving the unit. Date

Number of questions attempted

Number of correct answers

Time taken

MATHEMATICAL REASONING Q1.

Nikhil leaves for school at 7:15 a.m. He reaches school at 7:50 a.m. How long does Nikhil take to reach school? (A) 30 minutes

Q2.

2019-20

(D) 35 minutes

(B) 143 months (C) 113 months (D) 123 months

Assume the following:

Find the weight of

Q4.

(C) 50 minutes

How many months in total is 11 years 11 months? (A) 93 months

Q3.

(B) 45 minutes

in terms of

.

(A)

(B)

(C)

(D)

10000 times of 1 metre = ? (A) 10 decametres

(B) 10 hectometres

(C) 10 kilometres

(D) 1000 centimetres

© Copyright Cuemath

29

Q5.

How many 300g salt packets make 3 kg of salt? (A) 10

Q6.

(C) 5

(D) 20

If each ball is identical, what is the weight of one ball?

(A) 250 g Q7.

(B) 15

(B) 225 g

(C) 175 g

(D) 125 g

How much more water can the mug hold than the cup?

Mug

Cup

375 ml

(A) 225 ml

(B) 255 ml

120 ml

(C) 245 ml

(D) 265 ml

Directions (Q8 – Q10): Answer the following questions based on the given figure.

Q8.

What is the weight of P? (A) 2000g

30

(B) 1000g

(C) 500g

© Copyright Cuemath

(D) 1500g

2019-20

Q9.

By how much is Q heavier than P? (A) 1000g

Q10.

(B) 1500g

(C) 500g

(D) 2500g

What is the total weight of P and Q? (A) 3500g

(B) 5500g

(C) 1500g

(D) 4500g

DAILY MATHEMATICS Q11.

Q12.

Archit travelled 85 km 714 m by road and 6240 km 48 m by air. How much distance did he travel altogether? (A) 6325 km

(B) 7087 km

(C) 6325 km 762 m

(D) 7625 km 632 m

The following is the bill for clothes that Mr. Sharma bought from a shop. If he paid `1000, how much change will he get back?

(A) `515

2019-20

Shirt

`240

Pant

`350

Tie

`125

(B) `385

(C) `415

© Copyright Cuemath

(D) `285

31

HIGHER ORDER THINKING SKILLS Q13.

Assume the following:

+

+

+

+

+

= `91

+

+

= `90

+

= `121

= `20

What is the cost of one burger? (A) `10 Q14.

If 5

(D) `51

(B) 70g

,5

and

(C) 150g

(D) 190g

(C) 28 grams

(D) 9 grams

What is the weight of one apple?

(A) 33 grams

32

(C) `28

– = 50g, – = 30g and the total weight of 5 is 1700g, then what is the weight of ?

(A) 120g Q15.

(B) `31

(B) 22 grams

© Copyright Cuemath

2019-20

G4

Unit 5 — Geometry Topics covered • Counting of geometrical shapes, solids and type of lines in geometrical figures. • Properties of rectangle, square, equilateral triangle, scalene triangle, isosceles triangle and circles. • Concept of closed and open figures/curves. • Perimeter of polygons, triangles. • Concept of parallel and intersecting line. • Identification of solid formed from the given net. • Symmetry.

To be filled after solving the unit. Date

Number of questions attempted

Number of correct answers

Time taken

MATHEMATICAL REASONING Q1.

How many line segments are required to make the letter ‘M’? (A) 5

Q2.

(B) 3

(C) 4

Along which of the following lines segments is the figure symmetrical? X

W

P

R

S

Z

(A) PQ Q3.

(B) RS

(C) XY

(B) 10

(D) WZ

(C) 12

(D) 14

Find the length of CD. H

A

(A) 8 cm

D

2 cm G

F

2019-20

Y

Q

How many triangles are there in the given figure?

(A) 8 Q4.

(D) 2

(B) 13 cm

6 cm

C

E

15 cm

(C) 9 cm

© Copyright Cuemath

B

(D) 7 cm

35

Q5.

How many circles are there in the given figure?

(A) 17 Q6.

(C) 16

(B) 16

(C) 14

(D) 20

Points A, B, X, Y, Z, W and line AB are shown. If W is joined to the points A and B, what figure will be obtained? Y

X

Z

W

A

(A) Rectangle Q8.

(D) 14

How many triangles are there in the given figure?

(A) 15 Q7.

(B) 18

B

(B) Circle

(C) Triangle

(D) Square

Find the perimeter of the shaded part of the given figure. 1 cm

1 cm

(A) 16 cm

36

(B) 18 cm

(C) 20 cm

© Copyright Cuemath

(D) 22 cm

2019-20

Directions (Q9 – Q10): Four points A, B, C, D and line ‘M’ are shown on the grid. Answer the following questions based on the grid. B A

C D

Q9.

Which two points appear to lie on the same line that is parallel to line M? (A) A and B

Q10.

M

(B) A and D

(C) A and C

(D) B and D

If the points A, B, C and D are joined together, how many triangles can be formed? (A) 2

(B) 5

(C) 3

(D) 4

DAILY MATHEMATICS Sam cuts open a box that looks like looks like. (A)

(C)

(D)

Ram is fencing his 4 fields. He wants to start with the field that takes the largest amount of fencing wire. Which one should he start with? Figure 2

Figure 3

3m 5m

3m

2m

3m

3m

(A) Figure 1 2019-20

Figure 4

5m

(B) Figure 2

1

5m

(C) Figure 3

© Copyright Cuemath

m

2m 5m

Figure 1

3m

Q12.

(B)

. How does the open figure

5m

Q11.

4m

(D) Figure 4 37

HIGHER ORDER THINKING SKILLS Q13.

ABCD and PQRS are two rectangles. Find the length of CQ. 11 cm

2 cm

A

D

7 cm

B P

S

(A) 4 cm Q14.

Q

C

(B) 8 cm

(C) 6 cm

B

2 cm

1 cm

C G I

(A) 26 cm

(B) 28 cm

D

3 cm

1 cm

5 cm

F

4 cm

E

H

(C) 30 cm

(D) 20 cm

Perimeter of the figure formed by 9 identical squares is 140 cm. What is the length of each side of square?

(A) 4 cm

38

(D) 9 cm

The given figure (not drawn to scale) is made up of a rectangle, square and a triangle. Find the perimeter of the figure. A

Q15.

R

13 cm

(B) 5 cm

(C) 6 cm

© Copyright Cuemath

(D) 7 cm

2019-20

G4

Unit 6 — Data Handling

Topics covered • Interpreting pictographs • Interpreting bar graphs

To be filled after solving the unit. Date

Number of questions attempted

Number of correct answers

Time taken

MATHEMATICAL REASONING Directions (Q1 – Q4): The bar graph show’s Navneet’s income from January to May. May April March February January 0

Q1.

1000

1500

2000

2500

3000

3500

4000

4500

5000

(in `)

How much lesser did Navneet earn in April as compared to March? (A) `500

Q2.

500

(B) `1000

(C) `1500

(D) `2000

What is the total amount earned by Navneet from January to May? (A) `13500

(B) `14500

(C) `15500

(D) `16000

th

Q3.

1 Navneet saved  6  of the money that he had earned in March. How   much money did he spend in that month? (A) `2000

(B) `3500

(C) `2500

(D) `3000

th

Q4.

7 Navneet spent  9  of the money that he had earned in January. How   much money did he save in that month? (A) `2500

2019-20

(B) `500

(C) `1500

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(D) `1000

41

Directions (Q5 – Q7): The pictograph shows the amount of rainfall received by a city over a few years. Study the table and answer the following questions. Rainfall in 6 years 1996 Ω Ω Ω Ω Ω Ω Ω Ω Ω 1997 Ω Ω Ω Ω 1998 Ω Ω Ω Ω Ω Ω Ω Ω Ω Ω 1999 Ω Ω Ω Ω Ω Ω 2000 Ω Ω Ω Ω Ω Ω 2001 Ω Ω Ω Ω Ω Ω Ω Ω Ω = 20 mm of Rain

Q5.

In which year did the city receive 180 mm of rainfall? (A) 1998

Q6.

Q7.

(B) 2001

(C) 2000

(D) 1996

Which two years received the same amount of rainfall? (A) 2000 & 2001

(B) 1999 & 2000

(C) 1998 & 1999

(D) 1996 & 1997

What is the difference between the amount of rainfall received in 2000 and 2001 put together as compared to that of 1996 and 1997 put together? (A) 100 mm

(B) 40 mm

(C) 60 mm

(D) 20 mm

Directions (Q8 – Q9): The pictograph shows the survey of different newspapers read by people. Study the graph and answer the following questions. Newspapers The Hindu Times India Indianexpress Hindustan Times Deccan Herald = 4 people

Q8.

How many people read newspaper in total? (A) 20

42

(B) 60

(C) 80

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(D) 100 2019-20

Q9.

How many people read Times India? (A) 16

(B) 12

(C) 36

(D) 24

Directions (Q10 – Q12): The table shows the number of tourists from 4 different continents who visited Delhi, Mumbai, Chennai and Kolkata. Study the table and answer the following questions. America

Q10.

Europe

7853

4821

2816

1052

Mumbai

6824

2852

2013

2013

Chennai

2143

5647

6812

1863

Kolkata

9812

8212

9413

1293

What is the difference in the number of American tourists between Delhi and Chennai? (B) 5214

(C) 5710

(D) 6813

Of the given 4 continents, which had the most number of tourists visiting the four Indian cities? (A) Europe

Q12.

Africa

Delhi

(A) 4181 Q11.

Australia

(B) Africa

(C) Australia

(D) America

What is the difference between the total number of tourists who visited Mumbai and Kolkata from all 4 continents? (A) 15028

(B) 15082

(C) 10582

(D) 12580

HIGHER ORDER THINKING SKILLS Q13.

Sara collects data about number of children in each house of a village. 0, 3, 2, 2, 1, 0, 1, 4, 3, 2, 2, 3, 0, 2, 1 Maximum number of houses have (A) 1

2019-20

(B) 2

(C) 3 © Copyright Cuemath

(D) 4 43

Q14.

What is the difference between the cricketer who scored the highest centuries and the lowest centuries? Number of centuries made by cricketers

y 110

Note:

1 unit length has 10 divisions

100 90

Number of centuries

80 70 60 50 40 30 20 10 0

Virat Kohli

Sachin Tendulkar

Ricky Ponting

Rahul Dravid

Brian Lara

Chris Gayle

x

Cricketers

(A) 59 Q15.

(B) 60

(C) 61

(D) 62

If one term is 5 years long, who served atleast two terms in office? Tenure of Prime Ministers Scale: y–axis: 1 unit length = 2 years 12 Tenure 10 (in years) 8 6 4 2 0 Indira Gandhi

P V Narasimha AB Rao Vajpayee

Manmohan Singh

Rajiv Gandhi

Prime Ministers

44

(A) Indra Gandhi

(B) PV Narsimha Rao

(C) Rajiv Gandhi

(D) A B Vajpayee © Copyright Cuemath

2019-20

G4

Paper test - Part 2

Topics covered

Instructions

• Length, Weight, Capacity, Time, and Money • Geometry • Data Handling

• Please use OMR sheet to answer the questions. • Submit the answered OMR sheet to your teacher.

MATHEMATICAL REASONING Q1.

What is the weight of one ball? 500 g 500 g

1 kg 1 kg

(A) 500 g Q2.

Q3.

(B) 300 g

(C) 200 g

(D) 2 g

Sam leaves for school at 6:45 a.m. He reaches school at 8:15 a.m. How long does Sam take to reach school? (A) 1 hour 15 minutes

(B) 1 hour 30 minutes

(C) 45 minutes

(D) 1 hour 45 minutes

Menu of a juice shop is given below: Item Apple juice Grape juice Orange juice Kiwi juice Mixed juice

Cost(₹) 40 20 30 50 30

John bought 2 apple juice, 1 orange juice and 1 kiwi juice. How much does he need to pay in total? (A) 150 2019-20

(B) 160

(C) 170

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(D) 120 45

Q4.

The given figure contains

(A) 11 Q5.

Q6.

(B) 9

(C) 10

(D) 8

Which figure has at least one line of symmetry?

(A)

(B)

(C)

(D)

Vicky plotted 4 points on a grid. The four points together make a . 8 7 6 5 4 3 2 1 0

(A) Straight line

46

triangles.

1 2 3 4 5 6 7 8

(B) Square

(C) Triangle

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(D) None of these

2019-20

Direction(Q7 – Q9) The bar graph shows the production of coffee mugs in a factory over 5 months. Study the graph and answer the following questions.

Number of coffee mugs(in thousands)

Producon of coffee mugs

Q7.

50 45 40 35 30 25 20 15 10 5 0

2019-20

April

May

(B) `450

(C) `45,000

(D) `45,00,000

(B) March

(C) April

(D) May

In the month of February, the company had 3000 broken coffee mugs out of their production. How many coffee mugs were good to be sold in the month of February? (A) 28000

Q10.

March

In which month did the company produce least number of coffee mugs? (A) January

Q9.

February

If the cost of production of each mug is `10, then how much did the company spend in producing the coffee mugs in the month of April? (A) `4,50,000

Q8.

January

(B) 26000

(C) 27000

(D) 25000

Which of the following options is INCORRECT? (A) 2 L 70 mL = 2700 mL

(B) 2 L 75 mL = 2075 mL

(C) 3 L 50 mL = 3050mL

(D) 4 L 90 mL = 4090mL

© Copyright Cuemath

47

DAILY MATHEMATICS Q11.

Q12.

Q13.

John travelled 50 km and 500 m from his hometown to reach City A. From City A he travelled 150 km and 500 m to reach City B. What is the distance covered by John from his hometown to reach City B? (A) 200 km

(B) 201 km

(C) 210 km

(D) 200 km 100 m

A barrel contains 45 L of milk. A milk dealer mixes 5 L of water to it. He then distributes it equally into 10 cans. How much milk does each can hold? (A) 5 L

(B) 10 L

(C) 6 L

(D) 4 L and 500 mL

Ricky bought a plot of land which is in the shape of a rectangle. The length of the land is thrice its breadth. The breadth is 40 m. Find the perimeter of the land. (A) 320 m

Q14.

(C) 400 m

(D) 100 m

John cuts a piece of paper with 4 sides. Not all sides are equal. Only opposite sides were of equal length. What could be the shape of the paper? (A) Square

48

(B) 160 m

(B) Rectangle

(C) Pentagon

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(D) Triangle

2019-20

The graph shows the amount of cakes sold in a shop for 4 days. Amount of cakes sold (in kg)

Q15.

350 300 250 200 150 100 5 0

Monday

Tuesday

Wednesday

Thursday

If 1 kg of cake costs `50, then how much money was spent on Tuesday? (A) `20000

(B) `1000

(C) `10000

(D) `5000

HIGHER ORDER THINKING SKILLS Q16.

What is the value of square? 900 800 900 900

(A) 400 Q17.

(C) 200

(D) 100

Plant A is twice as tall as Plant B. Plant B is 20 cm shorter than Plant C. Plant B is 180 cm tall. What is the total height of three plants? (A) 700

2019-20

(B) 300

(B) 740

(C) 660

© Copyright Cuemath

(D) 800

49

Q18.

The given figure is made of 7 identical squares. The perimeter of the figure is 154 cm. What is the length of each side of the square?

(A) 11 cm Q19.

(B) 10 cm

(D) 8 cm

How many of the following flags are symmetrical?

(A) 4

(B) 5

(C) 3

(D) 2

The graph shows sales of fruits by a vendor in a month.

Amount of fruits sold (in kg)

Q20.

(C) 9 cm

250 200 150 100 50 0

Apple

Grapes

Oranges

Kiwi

The cost of 1 kg apple = `90 The cost of 1 kg grapes = `40 The cost of 1 kg orange = `30 The cost of 1 kg kiwi = `200 Which fruit made the most money? (A) Apple 50

(B) Grapes

(C) Oranges

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(D) Kiwi 2019-20

Answer Key

Unit 1: Number Sense

Unit 2: Computation Operations

1. (B)

6. (B)

11. (A)

1. (C)

6. (C)

11. (D)

2. (C)

7. (C)

12. (B)

2. (A)

7. (B)

12. (D)

3. (D)

8. (B)

13. (B)

3. (B)

8. (C)

13. (B)

4. (A)

9. (C)

14. (A)

4. (B)

9. (D)

14. (D)

5. (B)

10. (B)

15. (C)

5. (C)

10. (C)

15. (D)

Unit 3: Fractions

Paper test - Part 1

1. (C)

6. (B)

11. (B)

1. (A)

6. (B)

11. (A)

16. (A)

2. (C)

7. (D)

12. (A)

2. (C)

7. (B)

12. (B)

17. (D)

3. (B)

8. (C)

13. (C)

3. (C)

8. (A)

13. (C)

18. (B)

4. (B)

9. (B)

14. (D)

4. (A)

9. (C)

14. (B)

19. (A)

5. (D)

10. (D)

15. (C)

5. (D)

10. (B)

15. (B)

20. (C)

Unit 4: Length, Weight, Capacity, Time, and Money

Unit 5: Geometry

1. (D)

6. (D)

11. (C)

1. (C)

6. (B)

11. (A)

2. (B)

7. (B)

12. (D)

2. (C)

7. (C)

12. (C)

3. (C)

8. (D)

13. (D)

3. (C)

8. (C)

13. (D)

4. (C)

9. (B)

14. (B)

4. (D)

9. (C)

14. (A)

5. (A)

10. (D)

15. (B)

5. (B)

10. (C)

15. (D)

2019-20

© Copyright Cuemath

51

Unit 6: Data Handling

52

Paper test - Part 2

1. (C)

6. (B)

11. (D)

1. (A)

6. (C)

11. (B)

16. (A)

2. (B)

7. (D)

12. (A)

2. (B)

7. (A)

12. (A)

17. (B)

3. (C)

8. (C)

13. (B)

3. (B)

8. (B)

13. (A)

18. (A)

4. (D)

9. (A)

14. (C)

4. (C)

9. (C)

14. (B)

19. (A)

5. (D)

10. (C)

15. (A)

5. (C)

10. (A)

15. (C)

20. (D)

© Copyright Cuemath

2019-20