Q 1 – An integer can be:
a) Only Positive
b) Only Negative
c) Both positive and negative
d) None of the above
Q 2 – A rational number can be represented in the form of:
a) p/q
b) pq
c) p+q
d) p-q.
Q 3 – The value of ½ x ⅗ is equal to:
a) ½
b) 3/10
c) ⅗
d) ⅖
Q 4 – The value of (½) ÷ (⅗) is equal to:
a) 3/10
b) ⅗
c) 6/5
d) ⅚
Q 5 – The value of ½ + ¼ is equal to:
a) ¾
b) 3/2
c) ⅔
d) 1
Q 6 – The value of 5/4 – 8/3 is:
a) 17/12
b) -17/12
c) 12/17
d) -12/17
Q 7 – The associative property is applicable to:
a) Addition and subtraction
b) Multiplication and division
c) Addition and Multiplication
d) Subtraction and Division
Q 8 – The value of (-10/3) x (-15/2) x (17/19) x 0 is:
a) 0
b) 22.66
c) 20
d) 35
Q 9 – The additive identity of rational numbers is:
a) 0
b) 1
c) 2
d) -1
Q 10 – The multiplicative identity of rational numbers is:
a) 0
b) 1
c) 2
d) -1
Q 11 – Find a rational number between 1/2 and 1/3.
Q 12 – Write any 5 rational numbers between -5/6 and 7/8.
Q 13 – Let O, P and Z represent the numbers 0, 3 and -5 respectively on the number line. Points Q, R and S are between O and P such that OQ = QR = RS = SP. What are the rational numbers represented by the points Q, R and S. Next choose a point T between Z and 0 so that ZT = TO. Which rational number does T represent?
Q 14 – Rajni had a certain amount of money in her purse. She spent rupee 10 1/4 in the school canteen, bought a gift worth rupee 25 3/4 and gave rupee 16 1/2 to her friend. How much she have to begin with?
Q 15 – Let a, b, c be the three rational numbers where a = 2/3 b = 4/5 and C = -5/6.
Verify:
(i) a + (b + c) = (a + b) + c (Associative property of addition)
(ii) a × (b × c) – (a × b) × c (Associative property of multiplication)
Q 16 – One-third of a group of people are men. If the number of women is 200 more than the men, find the total number of people.
Q 17 – Mr X went shopping with a certain amount of money. He spent Rs. 10(¼) on buying a pen and Rs. 25(¾) in food. He then gave the remaining Rs. 16(½) to his friend. Calculate how much money he initially had.
Q 18 – Verify commutativity of addition of rational numbers for each of the following pairs of rational numbers:
(i) -11/5 and 4/7
(ii) 4/9 and 7/-12
Q 19 – Write the additive of each of the following rational numbers:
(i) -2/17
(ii) 3/-11
(iii) -17/5
Q 20 – Subtract the first rational number from the second in each of the following:
(i) 3/8, 5/8
(ii) -7/9, 4/9
(iii) -2/11, -9/11
(iv) 11/13, -4/13
Q 21 – The sum of the two numbers is 5/9. If one of the numbers is 1/3, find the other.
Q 22 – The sum of the two numbers is -4/3. If one of the numbers is -5, find the other.
Q 23 – The sum of the two rational numbers is -8. If one of the numbers is -15/7, find the other.