QUESTION BANK-INTEGERS
CLASS VII
LEVEL 1
Q1. Which of the following is true?
(а) (- 8) + (- 4) > (- 8) – (- 4)
(b) (- 8) + (- 4) < (- 8) – (- 4)
(c) (-8) + (- 4) = (- 8) – (- 4)
(d) none of these
Q2. The product of two negative integers is
(a) a positive integer
(b) a negative integer
(c) either a positive integer or a negative integer
(d) none of these.
Q3. (-1) × (-1) × (-1) × ……… 10 times is equal to
(a) 1
(b) -1
(c) 1 or -1
(d) none of these.
Q4. If (-50) ÷ x = 1, then x is equal to
(a) 1
(b) 50
(c) -50
(d) 10.
Q5. a × (b + c) = a × b + a × c is called
(a) commutative property
(b) associative property
(c) distributive property
(d) closure property.
Q6. Manish deposits Rs 2000 in his bank account and withdraws Rs 1000 from it, the next
day. Find the balance in Manish’s account after the withdrawal.
(a) Rs 2000
(b) Rs 3000
(c) Rs 1000
(d) none of these.
Q7. The product of two integers is 4 less than 49.If one of the integers is -9,which is the other
one?
(a) 43
(b) 40
(c) -44
(d) -5
Q8. The next number in the series -11,-8,-5,-2 is
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(a) -1
(b) 0
(c) 1
(d) 4
Q9. Identify the property used in the following: 2 13 + 8 13 = ( 2+8 ) 13
(a) Commutative
(b) Closure
(c) Associative
(d) Distributive
Q10. Which of the following does not represent pair of integer (a, b) such that a ÷ b = 2
(a) ( ̶ 6 , ̶ 3 )
(b) ( ̶ 2 , 1)
(c) ( ̶ 10 , ̶ 5 )
(d) (8 , 4 )
LEVEL 2
1. A place is 45m above the sea level and another place is 25m below the sea level.
What is the difference of the level between the two places?
2. A tanker contains 500 litres of water. Due to a small hole in the tanker, the quantity of
water is decreasing at the rate of 9 litres every hour. What will be the quantity of
water after 10 hours?
3. The value of ‘a’ in -19 X [4+ (-2)] = -19 X 4 + (-19) X a ?
4. Verify associative property of multiplication on integers for the following sets of
integers:
a) -3, 4, 7
b) 13, 2 , -1
5.Simplify using distributive property:
a) 398 X 98
b) (-427) X (-101)
c) -3126 X 103
LEVEL 3
1. In an Olympiad, 5 marks are awarded for each correct answer and 3 marks are
deducted for each incorrect answer. If Rohan attempted 7 questions correctly and 3
incorrectly, calculate his total score.
2. Simplify by suitable rearrangements:
a) (-25) X369 X (-8) X (-4)X 125
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b) (-6) X (-2) X (-5) X (-10)
3. Simplify using suitable properties. Also mention the property used:
a) -194 X 143+ (-194) X 57
b) 256 X 373+256 X (-73)
c) 3219 X 81+3219 X 12+3219X 7
d) -2916 X 1005
4. Is the collection of integers closed under subtraction? Justify it by giving a suitable
example.
5. Verify and mention the property used:
a) 20 X [(-19)+5]=[20 X(-19)+20 X5]
b) [(-60) X(-40)] X12=(-60) X[(-40)X 12]
6. Simplify:
a) |7|+|5|-|7|-|-3|, where | | is absolute value of an integer.
b) [(-4) X (-9)X (-25)] / [(-2)X (-3) X(-5)]
c) (-5) + (-4) - (-4) - (-5) + (-5) + (-4 ) -(-5)+(-4)
d) 15-(-3){4-7-3} / [3{5+(-3)x(-6)}]
7. Find the difference of the sum of the even numbers and sum of odd numbers between
10 and 20.
8. Simplify using simple methods for computation-:
a) 999+999x999
b) 4444 X 2222/8888
c) 56 X 198/ 11 /7
d) 5000 /8/ 125
9. A diver descends 20 feet in water from the boat at the surface of the lake. He then
rose 12 feet and descends another 18 feet. At this point, what is his depth in the
water?
10. A water tank has steps inside. A monkey is sitting on the topmost step. The water
level is at the ninth step. He jumps 3 steps down and jumps back 2 steps up. In how
many jumps will he reach the water level.
HIGHER ORDER THINKING SKILLS QUESTIONS
1. A shopkeeper sold bats and balls on a certain day. On each bat, he gained $200
and on each ball, he lost $25. If he could sell 25 bats and 98 balls, calculate his
total gain or loss.
2. The temperature at 12 noon was 10 degree above zero. If it decreases at the rate of
2 degrees per hour, what was the temperature at 2 in the afternoon.
3. Compute the following:
a) (2+4+6+……………….+2006)-(1+3+5+…………………..+2005)
b) 2006-1-2-3-4……………………….-48-49-50
c) 100-98+96-94+……………………..+8-6+4-2
4. A man’s monthly income is $34,475. He opens a saving account with an initial
deposit amount of $5000 on 1st January, 2010. He invested in systematic
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investment plan where $15,000 would be deducted from his salary account on the
20th of every month. Salary is credited on 3rd of every month. First investment
was done on 20th February, 2010. What is the balance money in his account on
25th May, 2010?
5. In a water tank, the water level is at the eighteenth step below the top. A frog
wants to go out of the tank. He jumps 4 steps up and 2 steps down in every move.
In how many jumps will be out of the tank.
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