Rational Numbers Class 8 Worksheet Maths Chapter 1

Multiple Choice Questions (MCQs)

Q1: Rational numbers include
A) integers
B) decimals
C) fractions
D) integers, decimals and fractions

Q2: The word ‘rational’ arises from the term
A) fraction
B) ratio
C) decimal
D) integer

Q3: Rational numbers, which have both numerator and denominator as positive integers is called a
A) positive rational number
B) negative rational number
C) Numerator
D) denominator

Q4: Rational numbers which have both numerator and denominator as negative integers is called a
A) positive rational number
B) negative rational number
C) numerator
D) denominator

Q5: In a rational number, if the denominator and numerator both are  positive integers and the numerator and the denominator have no common factor other than 1, the denominator is greater than the numerator then the rational number is said to be in its  
A) irrational form
B) integer form
C) decimal form
D) standard form

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True/False

Q1: Every integer can be expressed as a rational number.

Q2: The sum of two rational numbers is always rational.

Q3: The reciprocal of a negative rational number is always negative.

Q4: Subtracting a rational number is the same as adding its additive inverse.

Q5: The product of two rational numbers with different signs is positive.

Q6: The division of two rational numbers is undefined when the divisor is zero.

Q7: Every fraction is a rational number, but not every rational number is a fraction.

Q8: A rational number remains unchanged if both its numerator and denominator are multiplied by the same non-zero integer.

Very Short Answer Questions

Q1: Find the value of -5/12 + 7/18

Q2: Find the value of -15/17 + 12/51

Q3: Find the value of -2/7 ÷ 2/9 × 3/7

Q4: Find the value of 2+(3/4-1/5)÷3

Q5: Find the value of 12/17 ÷ 18/34 ÷ 1/6

Q6: What should be added to (1/3+1/2) to get 3?

Q7: What should be subtracted from 5 to get 13/3?

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Short Answer Questions

Q1: The sum of two rational numbers is -43/52. If one of the numbers is 5/12 then what is the other number?

Q2: If x:2/3 = 2:3 then what is the value of x?

Q3: Rahim has 2000 rs. If he spends ¼ of his money on groceries and 2/5th  of his money on traveling. How much money is left?

Q4: If 3/5th of a number is 6, then what is that number?

Q5: If 4 shirts can be made from 35 meters of cloth. How much cloth is needed for each shirt?

Q6: If 3/7th of a bucket is 3 liters. Then what is the capacity of the bucket?

Q7: If 3/5 ÷ x = 4/7, then Find the value of x?

Q8: Find the value of 3/4 + 5/6 ÷ 3/5

You can access the solutions to this worksheet here.