Test on Integers

Instructions for Test on Integers
1. All questions are compulsory.
2. Please give the explanation for the answer where applicable.

Q.1 The product of two numbers is 105. If one number is -7. What is the other number? [2]
Q.2 Evaluate using properties wherever necessary [6]
I. (-5) x ( -5) x (5) x (-5)
II. (-89) x 115
III. (-742) x (-12)
IV. (-4125) x (-1)
V. 0 x (-42)
VI. 6023 x 0

Q.3 Fill in the blanks and write the property used in each of the following : [4]
1) (-15) x 87 = --------- x (-15)
2) (-32) + [ (-3) + 8] = ---------------- + 8
3) (-27) + ------ = -------- + (-27) = 0
4) (-476) x -------- = --------x (-476) = (-476)

Q.4 Verify (-70) x [ 17 + (-13)] = [(-70) x 17)] + [(-70) x (-13)] and state the property used. [3]
Q.5 Find the sum: [4]
(i) -256 and 328
(ii) 2002 and -135

Q.6 If a = - 5, b = -6 and c = 8, then show that [4]
(i) (a + b) + c = a + (b + c),
(ii) (a – b) ≠ (b - a).

Q.7 Divide. [4]
(i) 24 by -3
(ii) 0 by +8
(iii) -37 by +1
(iv) +13 by -1

Q.8 An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach – 350 m. [3]

Q.9 In a class test containing 15 questions, 3 marks are given for every correct answer and (–1) marks given for every incorrect answer.
(i) Gurpreet attempts all the questions but only 9 of her answers are correct. What is her total score?
(ii) One of her friends gets only 5 answers correct. What will be her score? [4]

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Test on Integers

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