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Class 8 · Mathematics · 10 Aug 2026

Max marks: 40
Grade Class 8 · Mathematics · 18 questions
Name Class Date
Q.1 MCQ [4 marks]
(a)
Identify the rational number that lies exactly halfway between -1/3 and 1/3 on the number line.
[1 mark]
(a)  0
(b)  1/6
(c)  -1/6
(d)  1
(b)
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]
(a)  The third mark to the right of 0 when the segment between 0 and 1 is divided into 4 equal parts
(b)  The midpoint between 0 and 1
(c)  The fourth mark to the right of 0 when divided into 3 equal parts
(d)  One mark to the left of 1
(c)
Which of the following rational numbers lies to the right of -1/2 on the number line?
[2 marks]
(a)  -3/4
(b)  -1
(c)  -2/3
(d)  -1/4
Q.2 Match the Pairs [8 marks]
(a)
Match each mathematical property of rational numbers with its correct algebraic representation.
[2 marks]
Column AColumn 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
(b)
Match each point description with its corresponding position on a standard number line.
[2 marks]
Column AColumn 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
(c)
Match each rational number with its correct position description on the number line.
[4 marks]
Column AColumn 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
Q.3 Fill in the Blanks [5 marks]
(a)
On a horizontal number line, numbers to the left of zero are always _____ than numbers to the right of zero.
[1 mark]
(b)
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]
(c)
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]
Q.4 One Sentence [5 marks]
(a)
State whether zero (0) is a rational number and give a brief reason.
[2 marks]
(b)
State the rule for locating any positive rational number $\frac{p}{q}$ (where $p < q$) on a number line.
[1 mark]
(c)
Explain why \(0.1010010001...\) is classified as an irrational number.
[2 marks]
Q.5 Short Answer [8 marks]
(a)
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]
(b)
State whether \(5\sqrt{2}\) is rational or irrational. Briefly justify your answer.
[2 marks]
(c)
Evaluate the product using the distributive property: \frac{7}{16} \times \left(-8 + \frac{4}{7} ight). Show each step of calculation.
[4 marks]
Q.6 Word Problem [8 marks]
(a)
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]
(b)
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]
7.
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]
Label the following: 1 2 3 4
Generated by Lumai — 10 September 2026
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Class 8 · Mathematics · 10 Aug 2026 — 40 Marks