Free printable worksheet
Class 8 · Mathematics · 10 Aug 2026
Identify the rational number that lies exactly halfway between -1/3 and 1/3 on the number line.
[1 mark]Which of the following points represents the rational number $\frac{3}{4}$ on a standard number line divided into equal parts between 0 and 1?
[1 mark]Which of the following rational numbers lies to the right of -1/2 on the number line?
[2 marks]Match each mathematical property of rational numbers with its correct algebraic representation.
[2 marks]| Column A | Column B |
|---|---|
| 1. Commutative Property of Addition | a. a + b = b + a |
| 2. Distributive Property | b. a \times (b + c) = (a \times b) + (a \times c) |
| 3. Additive Identity | c. a + 0 = a |
| 4. Multiplicative Identity | d. a \times 1 = a |
Answer: __________________________________________
Match each point description with its corresponding position on a standard number line.
[2 marks]| Column A | Column B |
|---|---|
| 1. Opposite of 4 | a. -4 |
| 2. Additive inverse of -7 | b. 7 |
| 3. Origin | c. 0 |
| 4. Unit distance to the right of zero | d. 1 |
Answer: __________________________________________
Match each rational number with its correct position description on the number line.
[4 marks]| Column A | Column B |
|---|---|
| 1. -\frac{1}{2} | a. Midway between 0 and -1 |
| 2. \frac{5}{4} | b. One quarter past 1 between 1 and 2 |
| 3. -\frac{4}{3} | c. One third past -1 towards -2 |
| 4. \frac{3}{2} | d. Midway between 1 and 2 |
Answer: __________________________________________
On a horizontal number line, numbers to the left of zero are always _____ than numbers to the right of zero.
[1 mark]To represent the negative rational number $-\frac{5}{2}$ on the number line, we move _____ units to the _____ of zero along the negative direction.
[2 marks]To find three rational numbers between -2/3 and 1/4, we first make their denominators equal by converting them to _____ and _____ respectively.
[2 marks]State whether zero (0) is a rational number and give a brief reason.
[2 marks]State the rule for locating any positive rational number $\frac{p}{q}$ (where $p < q$) on a number line.
[1 mark]Explain why \(0.1010010001...\) is classified as an irrational number.
[2 marks]Identify the rational number from the following list and explain why the remaining numbers are not rational: \(\sqrt{8}, \pi, \frac{22}{7}, \sqrt{25}\).
[2 marks]State whether \(5\sqrt{2}\) is rational or irrational. Briefly justify your answer.
[2 marks]Evaluate the product using the distributive property: \frac{7}{16} \times \left(-8 + \frac{4}{7} ight). Show each step of calculation.
[4 marks]Aarav had ₹500 in his pocket. He spent 2/5 of this amount on buying notebooks at a stationery shop in Jaipur and 1/4 of the original amount on snacks. What rational fraction of the total money is left with him, and how much money in rupees does he have remaining?
[4 marks]An architect in Chandigarh designs a fountain whose decorative basin floor is composed of smaller triangular tiles. One right-angled triangular tile has legs measuring \(\sqrt{2}\text{ m}\) and \(\sqrt{3}\text{ m}\). (a) Calculate the exact length of the hypotenuse. (b) Is the calculated hypotenuse length a rational or irrational number? Justify your answer.
[4 marks]A number line is drawn showing integer points from -2 to +2. Between 0 and 1, three tick marks divide the distance into four equal segments. Identify the labels for the four tick marks in order from 0 to 1.
[2 marks]