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Gyaan Maths
CBSE · Class 6-10
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CBSE Maths · Class 8

Chapter 1: Rational Numbers

Name: ________________________
Date: ______________
Marks: ____ / 10

Properties of rational numbers; representation on the number line; operations.

Questions

  1. −35×259\dfrac{-3}{5}\times\dfrac{25}{9}.
  2. Find xx: x+23=56x + \dfrac{2}{3} = \dfrac{5}{6}.
  3. Represent −58-\dfrac{5}{8} on the number line.
  4. Reciprocal of −3/7-3/7.
  5. Add −2/3+5/6-2/3 + 5/6.
  6. Standard form of −15/−25-15/-25.
  7. Multiply −3/4×8/9-3/4 \times 8/9.
  8. A rational between 1/21/2 and 3/43/4.
  9. Additive inverse of 5/95/9.
  10. Divide −2/3÷4/9-2/3 \div 4/9.

Extra Practice (Optional)

  • Is 00 rational?
  • Reciprocal of −1-1.
  • Rational between −25\tfrac{-2}{5} and 13\tfrac{1}{3}.

Answer Key (For Teachers)

  1. Answer: −53-\dfrac{5}{3}.
    Working: Cancel.
  2. Answer: 16\dfrac{1}{6}.
    Working: x=56−23x = \dfrac{5}{6}-\dfrac{2}{3}.
  3. Answer: −58-\dfrac{5}{8} marked.
    Working: Divide −1-1 to 00 into 88 equal parts; take 55th from 00.
  4. Answer: −7/3-7/3
    Working: Swap; keep sign.
  5. Answer: 1/61/6
    Working: LCM 66: −4/6+5/6-4/6 + 5/6.
  6. Answer: 3/53/5
    Working: Both negatives: 15/25=3/515/25 = 3/5.
  7. Answer: −2/3-2/3
    Working: −24/36=−2/3-24/36 = -2/3.
  8. Answer: 5/85/8
    Working: Mean: 5/85/8.
  9. Answer: −5/9-5/9
    Working: Negative.
  10. Answer: −3/2-3/2
    Working: −2/3×9/4=−3/2-2/3 \times 9/4 = -3/2.
Gyaan Maths · CBSE Class 8 · Chapter 1
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026