Class 8 Rational Numbers
Q 1– State True /False
If x + y = 0 , then y is known as the negative of x , where x and y are rational number.
Q 2 – In a colony ,3/4 of the total people were females. If the number of females is 36 more than that of the males, how many males were there in the colony?
Q 3 – If 𝑥 = 2, 𝑦 =9 and z =11 , verify that 𝑥 × (𝑦 × z) = (𝑥 × 𝑦) × z.
Q 4 – If the cost of 4 litres of milk is ₹ 89, find the cost of 1 litre of milk.
Q 5 – 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 6 – Let a, b, c be the three rational numbers where a = , b = and c = .
Verify:
(i) a + (b + c) = (a + b) + c (Associative property of addition)
(ii) a × (b × c) = (a × b) × c (Associative property of multiplication)
Q 7 – Rajni had a certain amount of money in her purse. She spent ₹ 10 in the school canteen, bought a gift worth ₹ 25 and gave ₹ 16 to her friend. How much she have to begin with?
Q 8 – Find 
Q 9 – Verify that – (–𝑥) is the same as 𝑥 for
Q 10 – Is 0.3 the multiplicative inverse of 3 1/3 Why or why not?
Q 11 –Write any 3 rational numbers between –2 and 0.
Q 12 – Find five rational numbers between 
Q 13 – Find any ten rational numbers between 
Q 14 – If x and y are two rational numbers , then what is a rational number between x and y?
Q 15 – What do we get by dividing 5/18 by -10/3?
Q 16 – A number is multiplied by 2 1/3 times itself and 61 are subtracted from the product obtained. If the final result is 9200, then find the numbers.
Q 17 – Find ten rational numbers between 1/3 and 1/5
Q 18 – The length and the breadth of a rectangle is 14/15m & 9/10m respectively. Find the perimeter and area of the rectangle.
Q 19 – The overall width in cm of several wide-screen televisions are 97.28 cm, 98 4/9 cm, 98 1/25 cm and 97.94 cm. Express these numbers as rational numbers in the form of p/q and arrange the widths in ascending orders.
Q 20 – Shalini has cut out the circles of diameter 1 1/4 cm from an aluminium strip of dimensions 8 3/4 cm by 1 1/4 Also calculate the wastage of the aluminium strip.
Q 21 – 5 1/2 metres long rope is cut into 12 equal pieces. What is the length of each pieces.
Q 22 – A train travels 1445/2 km in 17/2 hours. Find the speed of the train in km/h.
Q 23 – If 
then what is x ?
Q 24 – Simplify and verify the property for the following:
Q 25 – A bus at a uniform speed covers a distance of 140 2/3 km in 4 1/3 hours. Find the speed of the bus and the distance covered in 6 1/2 hours.