Grade 8 Rational Numbers Worksheets -CoolGyan

Grade 8 Maths Rational Number Multiple Choice Questions (MCQs)

1. Associative property is not followed in ……………… .
(a) whole numbers
(b) integers
(c) natural numbers
(d) none of these
2. …………………… is the identity for the addition of rational numbers.
(a) 1
(b) 0
(c) -1
(d) $frac{1}{2}$
3. ………………… is the multiplicative identity for rational numbers.
(a) 1
(b) 0
(c) -1
(d) $frac{1}{2}$
4. The additive inverse of $frac{7}{5}$ is:
(a) 1
(b) 0
(c) – $frac{7}{5}$
(d) $frac{7}{5}$
5. What number should be added to $frac{7}{12}$ to get $frac{4}{15}$ ?
(a) – $frac{19}{60}$
(b) – $frac{11}{30}$
(c) $frac{51}{60}$
(d) $frac{1}{20}$
6. What number should be subtracted from – $frac{3}{5}$ to get -2?
(a) – $frac{7}{5}$
(b) – $frac{13}{5}$
(c) $frac{13}{5}$
(d) $frac{7}{5}$
7. Which of the rational numbers is the smallest?
(a) $frac{-5}{16}$
(b) $frac{-13}{24}$
(c) $frac{3}{-4}$
(d) $frac{7}{-12}$
8. Rational number $frac{3}{40}$ is equal to:
(a) 0.75
(b) 0.12
(c) 0.012
(d) 0.075
9. A rational number between $frac{3}{5}$ and $frac{4}{5}$ is
(a) $frac{7}{5}$
(b) $frac{7}{10}$
(c) $frac{3}{10}$
(d) $frac{4}{10}$
10. Find x such that $frac{3}{5}=frac{x}{-25}$
(a) -5
(b) -15
(c) -15
(d) none of these
11. Find x such that $frac{-48}{x}$ = 2
(a) 24
(b) -12
(c) -24
(d) none of these
12. Find x such that $frac{-3}{8}$ and $frac{x}{-24}$ are equivalent rational numbers.
(a) 3
(b) 9
(c) 8
(d) none of these
13. Find the value of $frac{3}{-5} imes frac{-5}{-3}$
(a) -1
(b) 0
(c) 1
(d) none of these
14. The equivalent rational number of $frac{-6}{5}$ is
(a) $frac{-3}{5}$
(b) $frac{12}{10}$
(c) $frac{-12}{10}$
(d) none of these
15. Fill in the boxes with the correct symbol: $frac{5}{-11} square frac{-5}{11}$
(a) >
(b) <
(c) =
(d) none of these
16. Fill in the boxes with the correct symbol: $frac{1}{-3} square frac{-1}{4}$
(a) >
(b) <
(c) =
(d) none of these
17. Rewrite the rational number $frac{-18}{48}$ in the simplest form.
(a) $frac{-9}{24}$
(b) $frac{-3}{8}$
(c) $frac{3}{8}$
(d) none of these
18. Rewrite the rational number $frac{44}{-72}$ in the simplest form
(a) $frac{22}{-36}$
(b) $frac{11}{-18}$
(c) $frac{11}{18}$
(d) none of these
19. Write the next rational number in the pattern:
(a) $frac{12}{25}$
(b) $frac{15}{25}$
(c) $frac{-15}{25}$
(d) none of these
20. Write the next rational number in the pattern:
(a) $frac{-5}{-30}$
(b) $frac{5}{-30}$
(c) $frac{4}{-30}$
(d) none of these

Class 8 Maths Rational Number Fill In The Blanks

1. Zero has ………………… reciprocal.
2. The numbers ……………….. and ……………….. are their own reciprocals.
3. The reciprocal of -5 is …………………… .
4. Reciprocal of $frac{1}{x}$ , where x ‰ 0 is ………………. .
5. The product of two rational number is always a ……………. .
6. The reciprocal of a positive rational number is ……………… .
7. The additive inverse of $frac{-a}{b}$ is ………………… .
8. Reciprocal of $frac{-3}{4}$ is ……………… .
9. The reciprocal of a negative rational number is ……………… rational number.
10. The rational number ……………… is equal to its negative.

Class 8 Maths Rational Number Very Short Answer Type Questions

1. What is the additive inverse of $frac{-7}{11}$ ?
2. What is the multiplicative inverse of $2 frac{3}{11} imes frac{1}{3}$ ?
3. Which number lies between $frac{1}{5}$ and $frac{1}{4}$ ?
4. Find the product of $frac{3}{8}$ and the reciprocal of $frac{-5}{17}$ .
5. A tailor needs $left(frac{9}{10} ight)^{t h}$ of a metre of cloth to stitch a blouse. It he wants to stitch 100 blouses how much cloth will be needed?
6. The sum of the additive inverse and multiplicative inverse of 3 is ………………. .

Class 8 Maths Rational Number Short Answer Type Questions

1. The number which is subtracted from $frac{29}{13}$ to get $frac{-5}{7}$ is ………………. .
2. The value of x for which the two rational numbers $frac{4}{9}$ , $frac{x}{54}$ are equivalent.
3. $frac{5}{6}$ of all the money in Salma’s bank account is ‚¹ 55,000. How much money does Salma have in her bank account?
4. Arrange the number $frac{1}{4}$ , $frac{13}{16}$ and $frac{5}{8}$ in the ascending order.

Class 8 Maths Rational Number Long Answer Type Questions

1. Simplify:

2. The cost of 3 $frac{1}{2}$ kg of wheat is ‚¹ 63. How much will 1 $frac{1}{4}$ kg of wheat cost?
3. Season tickets usually cost ‚¹ 120 $frac{4}{5}$ per person. For students, they are priced at $frac{1}{4}$ of the normal cost. How much will 6 tickets will cost for students?

Grade 8 Rational Numbers Worksheets

Grade 8 Maths Rational Number Multiple Choice Questions (MCQs)

Class 8 Maths Rational Number Fill In The Blanks

Class 8 Maths Rational Number Very Short Answer Type Questions

Class 8 Maths Rational Number Short Answer Type Questions

Class 8 Maths Rational Number Long Answer Type Questions

Worksheets for Class 8 Maths