Maths-comprehensive-worksheet-for-1st-term-class-7-paper2018.pdf

The City School PAF Chapter Comprehensive Worksheet 2018 MATHEMATICS Class – 7 Candidate Name: _________________________________________________________________ Index Number: _____________________________________________ Section: _____________ Branch/Campus: ____________________________________________ Date: Maximum Marks: 100

_____________

Time Allowed: 2 hour 30 minutes

INSTRUCTIONS:  Write your name, index number, section, branch/campus and date clearly in the space provided.  Read and follow the instructions of the given questions.  Answer all the questions in the space provided.  Select only one answers when made to choose, otherwise no marks will be given.  Check your answers before handing your paper in.  Marks for each section are shown below.  This paper consists of 9 printed pages including the cover page. ……………………For Examiner’s use only……………………

sections

Section A

Section B

Total

Question

1

2

3

4

5

6

7

8

9

10

Max. Marks

10

10

10

10

10

10

10

10

10

10

100

Marks Obtained

Percentage Grade

_________________ INVIGILATED BY

_____________ MARKED BY

_____________________ MARKS TALLIED BY

The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2018/ Mathematics / Class 7

Page 1 of 9

SECTION A Q1. Encircle the correct option.

[

/10]

1) What is the cost of books, when 6 books cost $48.. a. 48 b.

16

c.

64

d.

12

2) The gradient of the line y = 7x+4 a. 7x b.

7

c.

7y

d.

4

3) Formula for finding time, if distance and speed is given, = ____________. a. S b.

T=

c.

D=Speed × Time

d.

None of the above

4) 10% decrease in the $ 100 means. a. $110 b.

$90

c.

$10

d.

None of the above.

5) How long does a fish take to swim 7km at a speed of 3km/hr? a. 21 hours b.

2 hours 20 minutes

c.

2 hours 50 minutes

d.

2 hours 30 minutes

6) If a – 15 = -5. Then find the value of a. a. -10 b.

10

c.

20

d.

-20

7) Ahmed says “I think of a number, add 7 and then multiply everything by 4. The answer is 12. What is the algebraic equation? a. 4(x + 7)= 12 b.

4 + 7x

c.

7 × 4x

d.

None of the above

The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2018/ Mathematics / Class 7

Page 2 of 9

8) 20% of 2000 is __________________ a. 100 b.

400

c.

2400

d.

1600

9) On Cartesian plane y-axis is also known as a. Horizontal axis b.

Vertical axis

c.

Point of coordinate

d.

Function coordinate

10) When -3 is substituted for k in 3k2, the answer is: a. 81 b.

9

c.

18

d.

27

Q2.

[ /10]

a. Replace

with an integer

i. (-16) ×12+ 6 × 12 = (-16+6) ii. -64

(-36) = -36

[

/04]

[

/02]

=

(-64) = -100

b. (-20) ×(−5) × 9

Q2b. In the table below the number of circles to the number of squares is given. Find the number of squares in pattern 3 and 10. [ /04] No. of pattern No. of circles No. of squares

1 2 1 2 2x(1+1) 2x(2+1) =4 =6

3 3

… -

10 10

The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2018/ Mathematics / Class 7

Page 3 of 9

3a. Fill in the blanks

[

/06]

i)

34% of 640=__________________

ii)

Find distance when time is 20s and speed is 25m/s___________

iii)

Cost of 5 light bulbs is $9, cost of 7 light bulbs=_____________

iv)

In a given function y=-3x+5, when x is negative line falls from _______ to _________ quadrant.

v)

The gradient of a ______________________ line measures the ratio of vertical change to the horizontal change.

vi)

90 km/hr = _________________ m/s

Q3b. Evaluate the (-

-

)÷(- + )

[

/04]

Q4a. My car travels 128 km on 12 litres of pertrol. How far can it travel of a full tank of 30 litres. [ /05]

The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2018/ Mathematics / Class 7

Page 4 of 9

Q4b. Solve the following equation. i.

[

/03]

3(2y-3) = 9

Q4c. Given a function y=1+ x , find the value of i. x =-5

Q5.The price of a car is $90000, find the new price if a. A discount of 12% is given after the first year.

b. Further discount of 10% is given after the second year.

c. (−22) –(−2×3) + (2×32)

[

/02]

[ /04]

[ /04]

[ /02]

The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2018/ Mathematics / Class 7

Page 5 of 9

SECTION B Q6. The figures below form a sequence based on the number of circles needed to complete the figure [ /10]

Figure 1

Figure 2

Figure 3

i. Write the next two terms of the sequence 1,4,9,…..

ii.

[

/02]

How many circles are needed to create the 10th figure in this sequence? [ /02]

iii. Write a function to determine the nth figure in the sequence.

[

/03]

iv. Which figure will have 169 circles?

[ /03]

Q7. [ /10] a. Michael bought an electric drill at 85% of the regular price. He paid $32.89 for the drill. What was the regular price?(Round off to the nearest cents) [ /03]

The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2018/ Mathematics / Class 7

Page 6 of 9

b. A labourer works for 4 hours and is paid $27. i. How much does he make in 1 hour?

ii.

How much does he make in 8 hours?

[ /02]

[

/02]

c. John drove 3 hours at a rate of 50 Km/hr and for 2 hours at 60 Km/hr. What was his average speed? [ /03]

The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2018/ Mathematics / Class 7

Page 7 of 9

Q8a. Simplify the following algebraic fractions: i.

+

[

/06]

[

/04]

=

Q8b. Evaluate. i. 3a + 4 = 28

Q9. An overnight train left at 20 55 on a journey that took 8 hours 15 minutes.. i. Find the time at which it arrived at its destination. ii. Find the distance if the speed of the train 80 Km/hr.

[ /05]

The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2018/ Mathematics / Class 7

Page 8 of 9

Q9b. Express the following. Express each answer n its lowest term.

[ /05]

i.

Q10. Solve the given simultaneous linear equation using graphical method [ /10] 3x + 2y = 8 4x – y = 7

The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2018/ Mathematics / Class 7

Page 9 of 9