Rational Numbers

Class 7 – Mathematics

Practice Paper: Rational Numbers

Chapter: Rational Numbers
Time: 1 Hour | Marks: 30

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Section A – Multiple Choice Questions (1 mark each)

1. Which of the following is a rational number?
   a) √2
   b) π
   c) 3/7
   d) 5.324324...

2. The additive inverse of $\frac{-5}{8}$ is:
   a) $\frac{5}{8}$
   b) $-\frac{5}{8}$
   c) 0
   d) $\frac{8}{5}$

3. Which rational number lies between $\frac{-3}{4}$ and $\frac{1}{2}$?
   a) $\frac{5}{6}$
   b) $-1$
   c) $-\frac{1}{2}$
   d) $\frac{3}{4}$

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Section B – Very Short Answer Questions (2 marks each)

4. Write two rational numbers equivalent to $\frac{-3}{5}$.

5. Represent $\frac{-2}{3}$ on a number line.

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Section C – Short Answer Questions (3 marks each)

6. Find the value of:

   $$\frac{3}{4} + \left( -\frac{5}{6} \right)$$
   

7. Arrange the following rational numbers in ascending order:
   $\frac{-1}{2}, \frac{3}{4}, \frac{-2}{3}$

8. Simplify:

   $$\left( \frac{4}{9} \div \frac{-2}{3} \right) \times \left( \frac{-3}{5} \right)$$
   

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Section D – Long Answer Questions (4 marks each)

9. Verify the associative property of addition for the rational numbers:
   $\frac{1}{2}, \frac{-3}{4}, \frac{5}{6}$

10. A number when added to $\frac{-3}{7}$ gives $\frac{2}{3}$. Find the number.