cambridge school, noida assignment -1 grade-vii ch ......a shopkeeper earns a profit of rs.1per...
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Page 1 of 12
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= 3π₯, then x=?
SECTION-B
6. Verify following: [-a-(-b)]-cβ -a-[-b-(-c)] where a=10,b=14 and c=-11
7. Simplify:
(i) (-5)-(-48)Γ·(-16)+(-2)Γ6 (ii) (-65)Γ·(-13)+(-72)Γ·(-8) (iii) 6-[6-{6-(6-7-8-9)-10+11}-6-9]+8
(iv) 40-6Γ(-3)of6+(25-5)Γ·(-10) (v)[-144Γ·(-14+2)]Γ·[72Γ·(4+8)] (vi) (-12)Γ(-6)Γ14Γ (-1)Γ(-4)Γ(-8)
8. Find value using properties: a) 625Γ(-2)+(-625)Γ98 b) 88+75+12+25
c) -69Γ103 d) (-20) Γ (-19) + 20
9. Write the following in exponential form: a) (16)5 Γ· (8)4 b) 23Γ84
4Γ27
10. Simplify using Laws of Exponents: 24Γ94Γ4
33Γ42Γ27
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?
Page 2 of 12
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': (β4)π₯=-1024
14. Evaluate: i) 9
16Γ·(
3
4)2 ii) (40 + 90) Γ (50-100) iii)
(6
7)4Γ(
2
5)3
(2
5)Γ(
6
7)2
15. Solve: i) (3-5 x 10-5 x 125) Γ· (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}Γ·3[17+(-3)Γ4-2Γ(-7)]
19. If (π
π) = (
β3
4)6 Γ· (
β3
4)5, find value of (
βπ
π)3
20. Find x so that : (2
9)7 Γ (
2
9)2 = (
2
9)2π₯β1
Page 3 of 12
CAMBRIDGE SCHOOL, NOIDA
ASSIGNMENT -2
GRADE-VII
CH: RATIONAL NUMBERS
Section A
1. Express the rational number β4
5 with numerator -20.
2. Fill in the blanks: β5
7=
35=
49
3.Find 'x' such that: 13
6=
β65
π₯
4. Find average of the following rational numbers: β3
5πππ
7
9
5.Express β128
β144 in standard form of rational number.
Section B
6. Represent following number on number line: i) β19
6 ii)3
4
5
7. Arrange the following rational numbers in ascending order: 7
β12,β15
4,β13
β36,5
9
8. Simplify :3 1
7 +(
β5
14) +(
β7
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 Γ y)+ z.
14.Evaluate the following : i) - 5
12Γ4
2
3Γ9 ii) (
8
5Γ
β3
2) β (
3
10Γ·
11
8)
15.Find a rational number which when multiplied with - 9
13 gives the product 45.
Page 4 of 12
Section-D
16. Divide the sum ππ 16
27 and
β4
3 by the product of
β31
7 and
β1
2
17. Divide the sum of 65
12 and
8
3 by their difference.
18. Simplify (13
9 Γ
β15
2)+ (
7
3 Γ
8
5)+ (
3
5 Γ
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
4π each for streamers to
decorate school for christmas. How many pieces did she get? Was there any left?
Page 5 of 12
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 π₯
5
3. Find the cofficient of y in -3π₯2π¦
4. Identify like and unlike terms: 3π₯2π¦, 6π₯π§2, β4π¦π§2, β22π₯π¦π§
5. Solve: . (-n + 7) + (-7n + 6)
Section B
6. Find sum of following expressions :
9π¦2 β 5π₯π¦ + 3π₯2, β11π₯π¦ + 2π₯2 β 5π¦2, 7π₯2 + 10π¦2 + 2π₯π¦
7. Subract -3π2 + 6π + 3ππππ 5π2-9
8. What must be taken away from 3π₯2 β 5π₯π¦ + 2π¦ to obtain 9π₯2 + 3π¦ β 2π₯π¦ + 7?
9. Simplify: (7π3 β 4π2 β 5) β (β2π3 + 5π2 β 6) + (6π3 β 7)
10. Evaluate the following for a=5,b=-4 and c=10:
i) 2π2+3π
4πβπ ii) 4π3 β 3πππ β (βπ2π + 5π) β π2
Section-C
11. Let A = π₯2 β 5π₯π¦ + 2π¦ , B= -π₯2 + 3π¦ β 2π₯π¦ and C = β4π¦2 β 5, find 2A-3B-C
12. By how much does -4π2 β 3ππ2 + π exceed π3 + 2π2π + 6ππ2 β π2?
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-4π2 β 3ππ2 + π to get -π2 β ππ2 + 2π?
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Section-D
16 Find the value of the expression: (π₯ + π¦)2 β (π₯ β π¦)2, if x=1/2 and y=1/4
17. Simplify: xy-[yz-zx-{yx-(zy-xz)-(xy-zy)}]
18. In a school , 8π₯2 + 5π¦ + 7 students are enrolled. 2π₯2 β 9π¦ + 2 students were boys. How
many girls are enrolled?
19. If u=3π₯2 β 2π₯π¦ + π¦2 , v=2π₯2 + 5π₯π¦ + 7π¦2 , w=5π₯2 + 3π₯π¦ + 8π¦2, then show that u+v-
w=0
20. A wire is bent in the form of triangle. The sides of these triangles are -3π2 + 3π β 2ππ,
3ππ β 2π2and -π2 β ππ β π2. Find the length of the wire.
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) 18.57β 4.96 β 3.07 (g) 12.05 β11.75 + 2.9 β 0.08
2. Simplify :
(a) 12
5 Γ 3
2
4 Γ· 1
7
10 (d) 35.52 Γ· 7
2
5 of (3.2 Γ 0.5)
(b) 2
5 +
9
10 Γ·
1
2 β
1
4 (e) 0.5 of
7
35 Γ· 0.02 β 4
(c) 179 Γ· 2 1
3 Γ 1
3
4 of 2
1
3 + 4
11
13 (f)
2
5 of 0.6 +
2.4
8 β 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?
Page 10 of 12
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 ?
Page 11 of 12
CAMBRIDGE SCHOOL, NOIDA
ASSIGNMENT -6
GRADE-VII
CH: Visualising Solid Shapes
SECTION-A
SECTION-B
Page 12 of 12
SECTION-C
7. Find the dimensions of the resulting cuboid obtained on placing three cubes of
dimensions 2cm Γ2cmΓ 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.
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