grade-8-rational-numbers-worksheets

Grade 8 Rational Numbers Worksheets

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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 CBSE Class 8 Maths Rational Number Worksheets 1 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} \times \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: CBSE Class 8 Maths Rational Number Worksheets 2
(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:CBSE Class 8 Maths Rational Number Worksheets 3
(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} \times \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}\right)^{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 ₹ 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:
CBSE Class 8 Maths Rational Number Worksheets 4
2. The cost of 3\frac{1}{2} kg of wheat is ₹ 63. How much will 1\frac{1}{4} kg of wheat cost?
3. Season tickets usually cost ₹ 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?

Worksheets for Class 8 Maths

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