Time : 1 ½ hrs

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?

Q.2 Evaluate using properties wherever necessary

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 :

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.

Q.5 Find the sum:

(i) -256 and 328

(ii) 2002 and -135

Q.6 If a = - 5, b = -6 and c = 8, then show that

(i) (a + b) + c = a + (b + c),

(ii) (a – b) ≠ (b - a).

Q.7 Divide.

(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.

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?

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