Chapter: Rational Numbers – Practice Question Paper

Time: 1 Hour
Maximum Marks: 30

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Section A: Very Short Answer Questions (1 mark each)

(Answer in one line)

1. Define a rational number.

2. What is the additive identity of rational numbers?

3. Write two rational numbers between 1/2 and 3/4.

4. Express 0.25 as a rational number in p/q form.

5. Is 0 a rational number? Why or why not?

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Section B: Short Answer Questions (2 marks each)

6. Simplify:

   $$\frac{3}{5} + \frac{2}{7}$$

7. Find the multiplicative inverse of:
   a) $\frac{-4}{9}$
   b) $\frac{7}{-3}$

8. Arrange the following rational numbers in ascending order:

   $$\frac{1}{3}, -\frac{2}{5}, \frac{4}{9}, 0$$
   

9. Subtract:

   $$\left(\frac{-3}{8}\right) - \left(\frac{5}{12}\right)$$
   

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Section C: Long Answer Questions (3 marks each)

10. Verify:

$$\left(\frac{2}{3} + \frac{4}{5}\right) + \frac{1}{2} = \frac{2}{3} + \left(\frac{4}{5} + \frac{1}{2}\right)$$

(Associativity of addition)

11. A man had ₹1200. He gave $\frac{1}{4}$ of the amount to his friend, and $\frac{2}{5}$ to his sister. How much money is he left with?

12. If $a = \frac{2}{7}$, $b = \frac{3}{4}$, and $c = \frac{-5}{6}$, verify that:

$$a \times (b + c) = a \times b + a \times c$$\

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Section D: Word Problem (4 marks)

13. The temperature of a place in the morning was $-2^\circ \text{C}$ It rose by ${\frac{5}{2}}^{\circ }$ by afternoon and then dropped by ${\frac{7}{4}}^{\circ }$ in the evening.
    What was the temperature in the evening?