M.M: 48 marks Dated: 18/06/2011
Time allotted: 1 hour
Q 1: Fill in the blanks (1 mark each x 21 = 21 marks)
i. The numbers …, -4, -3, -2, -1, 0, 1, 2, 3, 4…… are _________.
ii. _______ is an integer which is neither positive nor negative.
iii. The ____________ value of an integer is its numerical value regardless of its sign.
iv. The quotient of two negative or two positive integers is always ____________.
v. The quotient of one positive and one negative integer is always ___________.
vi. Under addition and multiplication, integers show a property called distributive property which means ________________ = a x b + a x c.
vii. Multiplication is associative for integers, i.e., ___________ = a x (b x c) for any three integers a, b, c.
viii. The number _______ is the identity under multiplication.
ix. Commutative property under multiplication means: ________ = b x a, for any integers a and b.
x. a x b is an integer for any two integers a and b, it means integers are __________ under multiplication.
xi. Integer ____________ is the identity under addition.
xii. Addition is associative for integers, i.e., (a + b) + c = ______________ for all integers a, b and c.
xiii. Division involving two unlike signs gives a ___________.
xiv. For integers, commutative property holds in addition but not in ___________.
xv. The additive inverse of (3/-5) is _________.
xvi. _____ ÷ 1 = a.
xvii. Division by _____ is not allowed.
xviii. (ab – ac) = ______________
xix. Solve: 723 x (-73) – 73 x (-723) = _______________
xx. Solve: (-35) x 30 – (-35) x 20 = __________________
xxi. Out of -7, -5, -3, 1, 4, 7, a pair of integers whose sum is -2 is ____________
Q 2: I was 5 km east of my home. Now I am 6 km west of my home. How many kilometres did I travel? (2 marks)
Q 3: Which of the integers -10, 10, -2, -1, 3 and -3 is closest to -4 on the number line? Why? (1 mark)
Q 4: The _________ the number, the lesser is its opposite. (1 mark)
Q 5: Simplify: (-5) – (-48) ÷ (-16) + (-2) x 6 (2 marks)
Q 6: A shopkeeper earns a profit of Rs. 2 by selling one pen and incurs a loss of 50 paise per pencil while selling pencils of her old stock. (2 marks x 2 = 4 marks)
i). In a particular month she incurs a loss of Rs. 10. In this period, she sold 37 pens. How many pencils did she sell in this period?
ii). In the next month, she earns neither profit nor loss. If she sold 75 pens, how many pencils did she sell?
Q 7: A certain freezing process requires that room temperature be lowered from 49° C at the rate of 4 ° C every hour. What will be the room temperature 12 hours after the process begins? (2 marks)
Q 8: Find the product using suitable properties: (1 mark x 4 = 4 marks)
i). 17 x (-20) x (-5) x (-10)
ii). 8 x 57 x (-125)
iii). (-19) x (-28)
iv). (-59) x (-17) + 59
Q 9: Verify the following: (-23) x [(-5) + (-7)] = [(-23) x (-5)] + [(-23) x (-7)] (2 marks)
Q 10: Find (-47) x 19 using distributive property. (1 mark)
Q 11: Write a pair of integers whose sum gives: (1 mark x 2 = 2 marks)
i). an integer smaller than both the integers
ii). an integer smaller than only one of the integers
Q 12: Write a pair of integers whose difference gives an integer greater than both the integers. (1 mark)
Q 13: Use the sign of >, < or + in the blank to make the statements true. (1 mark x 2 = 2 marks)
i). -39 + (-20) – (-15) ______ 49 – (-10) + (-103)
ii). 39 – 51 + 99 ______ 49 - 58 + 100
Q 14: At Srinagar, temperature was -9° C on Tuesday and then it dropped by 3 ° C on Wednesday. What was the temperature of Srinagar on Wednesday? On Thursday, it rose by 7° C. What was the temperature of this day? (3 marks)
ii). 39 – 51 + 99 ______ 49 - 58 + 100
Q 14: At Srinagar, temperature was -9° C on Tuesday and then it dropped by 3 ° C on Wednesday. What was the temperature of Srinagar on Wednesday? On Thursday, it rose by 7° C. What was the temperature of this day? (3 marks)
