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. 2 3 + 1 3 = 3 , 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) 2 3 ×8 4 4×2 7 10. Simplify using Laws of Exponents: 2 4 ×9 4 ×4 3 3 ×4 2 ×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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CAMBRIDGE SCHOOL, NOIDA ASSIGNMENT -1 GRADE-VII CH ......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
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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= 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
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?
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': (−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
Page 3 of 12
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.
Page 4 of 12
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?
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 𝑥
5
3. Find the cofficient of y in -3𝑥2𝑦
4. Identify like and unlike terms: 3𝑥2𝑦, 6𝑥𝑧2, −4𝑦𝑧2, −22𝑥𝑦𝑧