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CAMBRIDGE SCHOOL, NOIDA

ASSIGNMENT -1

GRADE-VII

CH: INTEGERS AND POWERS AND EXPONENTS

SECTION-A

1. Write a mathematical expression for the following: Twenty divided by difference of seven and two.

2. By how much does -17 exceeds -39?

3. Calculate the sum: 2+(-2)+2+(-2)+2+(-2)+................

i) if number of terms are 100 ii) if number of terms are 111

4. Express weight of earth in scientific notation.

5. 23+ 13= 3𝑥, then x=?

SECTION-B

6. Verify following: [-a-(-b)]-c≠-a-[-b-(-c)] where a=10,b=14 and c=-11

7. Simplify:

(i) (-5)-(-48)÷(-16)+(-2)×6 (ii) (-65)÷(-13)+(-72)÷(-8) (iii) 6-[6-{6-(6-7-8-9)-10+11}-6-9]+8

(iv) 40-6×(-3)of6+(25-5)÷(-10) (v)[-144÷(-14+2)]÷[72÷(4+8)] (vi) (-12)×(-6)×14× (-1)×(-4)×(-8)

8. Find value using properties: a) 625×(-2)+(-625)×98 b) 88+75+12+25

c) -69×103 d) (-20) × (-19) + 20

9. Write the following in exponential form: a) (16)5 ÷ (8)4 b) 23×84

4×27

10. Simplify using Laws of Exponents: 24×94×4

33×42×27

SECTION-C

11. A shopkeeper earns a profit of Rs.1per pencil and incurs a loss of 20 paise per eraser.

i) In a given day he incurs a loss of rs.10. On this day, he sold 35 pencils. How many erasers were sold on this day.

ii) Next day , he earned a profit of Rs.25. on this day , he sold 100 erasers . How many pencils did he sell?

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12. In a class test of 15 questions 4 marks are given for every correct answer and (-2) for every incorrect and no marks for non attempted questions. If Sakshi gets only 4 answers correct. What will be her score, if she did not attempted 8 questions at all?

13. Find the value of 'x': (−4)𝑥=-1024

14. Evaluate: i) 9

16÷(

3

4)2 ii) (40 + 90) × (50-100) iii)

(6

7)4×(

2

5)3

(2

5)×(

6

7)2

15. Solve: i) (3-5 x 10-5 x 125) ÷ (5-7 x 6-5)

Section-D

16. Every floor of a 104-storey skyscraper is 4 m high. If a balloon rises 3m every second, how

long will it take to rise from the 36th floor to the 96th floor?

17. Ravi went to play with 60 marbles. In 8 games he gained (-5) marbles each and in 4 games

he gained 4 marbles each. When the game ended, how many marbles did Ranjan had?

18. Simply the expression using BODMAS: 5+3{-34-16-14}÷3[17+(-3)×4-2×(-7)]

19. If (𝑎

𝑏) = (

−3

4)6 ÷ (

−3

4)5, find value of (

−𝑎

𝑏)3

20. Find x so that : (2

9)7 × (

2

9)2 = (

2

9)2𝑥−1

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CAMBRIDGE SCHOOL, NOIDA

ASSIGNMENT -2

GRADE-VII

CH: RATIONAL NUMBERS

Section A

1. Express the rational number −4

5 with numerator -20.

2. Fill in the blanks: −5

7=

35=

49

3.Find 'x' such that: 13

6=

−65

𝑥

4. Find average of the following rational numbers: −3

5𝑎𝑛𝑑

7

9

5.Express −128

−144 in standard form of rational number.

Section B

6. Represent following number on number line: i) −19

6 ii)3

4

5

7. Arrange the following rational numbers in ascending order: 7

−12,−15

4,−13

−36,5

9

8. Simplify :3 1

7 +(

−5

14) +(

−7

12)+5

3

4

9.Sum of two rational numbers is 3

11.If one of them is -

6

7 , find the other.

10. What should be added to - 3

8 to get -

1

7 ?

Section-C

11. Subtract the difference of 13

7 and

4

5 from their sum.

12. What should be subtracted from (3

4 -

5

3) to get -

1

5 ?

13. By taking x= 1

3, y= -

2

5, z=

1

4, find (x × y)+ z.

14.Evaluate the following : i) - 5

12×4

2

3×9 ii) (

8

5×

−3

2) − (

3

10÷

11

8)

15.Find a rational number which when multiplied with - 9

13 gives the product 45.

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Section-D

16. Divide the sum 𝑜𝑓 16

27 and

−4

3 by the product of

−31

7 and

−1

2

17. Divide the sum of 65

12 and

8

3 by their difference.

18. Simplify (13

9 ×

−15

2)+ (

7

3 ×

8

5)+ (

3

5 ×

1

2)

19. In a market, the cost of a packet of coffee is Rs.240. One shopkeeper advertises coffee

at 1/5 off and another shopkeeper offers at 1/10 off. Which of the two is a better buy? Why?

What is the difference in the price at which they are sold?

20. Sarita had 871

2 m of ribbon for sale. She cut them into pieces of 6

1

4𝑚 each for streamers to

decorate school for christmas. How many pieces did she get? Was there any left?

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CAMBRIDGE SCHOOL, NOIDA

ASSIGNMENT -3

GRADE-VII

CH: ALGEBRAIC EXPRESSIONS SECTION-A

1. Express following in word statement:

' Difference of four times a number 'x' and two times the same number

2. Form an algebraic expression using given terms: 5,x,-3xy,-3y and 𝑥

5

3. Find the cofficient of y in -3𝑥2𝑦

4. Identify like and unlike terms: 3𝑥2𝑦, 6𝑥𝑧2, −4𝑦𝑧2, −22𝑥𝑦𝑧

5. Solve: . (-n + 7) + (-7n + 6)

Section B

6. Find sum of following expressions :

9𝑦2 − 5𝑥𝑦 + 3𝑥2, −11𝑥𝑦 + 2𝑥2 − 5𝑦2, 7𝑥2 + 10𝑦2 + 2𝑥𝑦

7. Subract -3𝑚2 + 6𝑚 + 3𝑓𝑟𝑜𝑚 5𝑚2-9

8. What must be taken away from 3𝑥2 − 5𝑥𝑦 + 2𝑦 to obtain 9𝑥2 + 3𝑦 − 2𝑥𝑦 + 7?

9. Simplify: (7𝑎3 − 4𝑎2 − 5) − (−2𝑎3 + 5𝑎2 − 6) + (6𝑎3 − 7)

10. Evaluate the following for a=5,b=-4 and c=10:

i) 2𝑐2+3𝑏

4𝑎−𝑐 ii) 4𝑎3 − 3𝑎𝑏𝑐 − (−𝑎2𝑏 + 5𝑐) − 𝑏2

Section-C

11. Let A = 𝑥2 − 5𝑥𝑦 + 2𝑦 , B= -𝑥2 + 3𝑦 − 2𝑥𝑦 and C = −4𝑦2 − 5, find 2A-3B-C

12. By how much does -4𝑎2 − 3𝑎𝑏2 + 𝑏 exceed 𝑎3 + 2𝑎2𝑏 + 6𝑎𝑏2 − 𝑏2?

13. The perimeter of a traingle is 7x-10 . One of the sides is x-6, and another side is 3x+2.

Find the third side.

14. Perimeter of a square is 20+16y. Find length of its sides.

15. What should be subtracted from-4𝑎2 − 3𝑎𝑏2 + 𝑏 to get -𝑎2 − 𝑎𝑏2 + 2𝑏?

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Section-D

16 Find the value of the expression: (𝑥 + 𝑦)2 − (𝑥 − 𝑦)2, if x=1/2 and y=1/4

17. Simplify: xy-[yz-zx-{yx-(zy-xz)-(xy-zy)}]

18. In a school , 8𝑥2 + 5𝑦 + 7 students are enrolled. 2𝑥2 − 9𝑦 + 2 students were boys. How

many girls are enrolled?

19. If u=3𝑥2 − 2𝑥𝑦 + 𝑦2 , v=2𝑥2 + 5𝑥𝑦 + 7𝑦2 , w=5𝑥2 + 3𝑥𝑦 + 8𝑦2, then show that u+v-

w=0

20. A wire is bent in the form of triangle. The sides of these triangles are -3𝑎2 + 3𝑏 − 2𝑎𝑏,

3𝑎𝑏 − 2𝑏2and -𝑎2 − 𝑎𝑏 − 𝑏2. Find the length of the wire.

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Page 9 of 12

CAMBRIDGE SCHOOL, NOIDA

ASSIGNMENT -5

GRADE-VII

CH: FRACTIONS & DECIMALS

SECTION-A

1. Find :

(a) 7

20 of 1500 (b)

2

25 of a metre (c)

1

3 of 3 decades (d)

2

30 of an hour

(e) 13.07 + 19.6 (f) 18.57– 4.96 – 3.07 (g) 12.05 –11.75 + 2.9 – 0.08

2. Simplify :

(a) 12

5 × 3

2

4 ÷ 1

7

10 (d) 35.52 ÷ 7

2

5 of (3.2 × 0.5)

(b) 2

5 +

9

10 ÷

1

2 –

1

4 (e) 0.5 of

7

35 ÷ 0.02 – 4

(c) 179 ÷ 2 1

3 × 1

3

4 of 2

1

3 + 4

11

13 (f)

2

5 of 0.6 +

2.4

8 – 0.2

3. Convert the following:

(a) 4.51 km to m (b) 3.75 m to cm (c) 4 km 425 m to m (d) 12.5 l to kl (e) 1.435 mm to cm

4. Convert the following fractions into decimal numbers:

(a) 240

25 (b)

36

16 (c) 1

12

15 (d)

95

25

5. Express the following as fractions in simplest form:

(a) 43.728 (b) 4.7 (c) 17.35 (d) 51.512 (e) 7.10 (f) 2.5

SECTION-B

6. The perimeter of a square board is 4

5 m. What is the length of its each side?

7. 180 children went on an excursion. 3

5 of them were boys. How many girls were there?

8. What is the area of a piece of rectangular cardboard of measure 3

7 m by

2

5 m ?

9. The sum of two numbers is 15.84. If one of them is 8.4, find the other number.

10. Anil bought 2.3kg of fruits, 8 kg of vegetables and 500 g of dry fruits. Find the total weight.

SECTION-C

11. If one drum can hold 25.550 l of oil, how many litres of oil can 37 such drums of same capacity hold?

12. Six friends divide a cake equally among them. If the total weight of the cake is 1.2 kg, how much will

each get?

13. Shalu paid Rupees 880.20 for 23 similar pens and 18 similar files. The total cost of a pen and a file is

Rupees 4.65. Find the cost of one pen.

14. Kirti had Rupees 480. She used 1

3 of it to buy a bag. Then, she spent

1

4 of the remaining money on a

bracelet. How much money was she left with?

15. Apipe of certain length has been divided into 3 equal parts. If the lengths of each part of pipe is 3 2

3 m.

What was the original length of the pipe?

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SECTION-D

16. Bishal has 240 fruits. He sold 1

2 of them to Rakhi and

1

3 to Neha.

(a) How many fruits did Bishal sell in all?

(b) How many fruits was he left with?

17. Sarika prepared a squash from tomato, apple and carrot juices. 1

3 of the squash was tomato juice and

2

3

of the remainder was carrot juice. 315 ml of the squash was carrot juice. What volume of the squash was

apple juice?

18. Kavita had Rupees 9600. She spent 1

4 of it on buying clothes, and

1

6 of the of remainder on books. She

saved the rest of the money. How much money did she save?

19. A foor is 4.5 m long and 3.6 m wide is to be covered with tiles. A 6 cm square tile costs Rupees 23.25.

What will be the cost to cover the floor with these tiles?

20. A car can travel 15 km in 1.5 l of petrol.

(a) How far can the car travel on 7.5 litres of petrol?

(b) How many litres of petrol is needed to travel a distance of 9265 m ?

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CAMBRIDGE SCHOOL, NOIDA

ASSIGNMENT -6

GRADE-VII

CH: Visualising Solid Shapes

SECTION-A

SECTION-B

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SECTION-C

7. Find the dimensions of the resulting cuboid obtained on placing three cubes of

dimensions 2cm ×2cm× 2cm :

a) end to end (horizontally) b) stacking (vertically)

8. What cross section do you get when you give : a) a horizontal cut b) a vertical cut

to an ice cream cone?

9. (a) Why a cone is not a pyramid?

(b) How many dimensions does a solid have?

10. Draw two sketches of solids which have no edge.