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Class 7 · Mathematics · 10 Aug 2026

Max marks: 40
Grade Class 7 · Mathematics · 16 questions
Name Class Date
Q.1 MCQ [7 marks]
(a)
If a right triangle has legs of 6 cm and 8 cm, what is the length of the hypotenuse?
[2 marks]
(a)  10 cm
(b)  14 cm
(c)  48 cm
(d)  100 cm
(b)
A right-angled triangle has legs of lengths 6 cm and 8 cm. What is the length of the hypotenuse?
[2 marks]
(a)  opt1: 10 cm
(b)  opt2: 14 cm
(c)  opt3: 12 cm
(d)  opt4: 16 cm
(c)
If the side lengths of a triangle are represented as x, x+1, and x+2, what must x be for this to be a right-angled triangle?
[3 marks]
(a)  2
(b)  3
(c)  4
(d)  5
Q.2 Match the Pairs [6 marks]
(a)
Match the side lengths of a right-angled triangle to their correct hypotenuse value.
[2 marks]
Column AColumn B
1. 3 cm and 4 cm a. 5 cm
2. 5 cm and 12 cm b. 13 cm
3. 6 cm and 8 cm c. 10 cm
4. 8 cm and 15 cm d. 17 cm
Answer
(b)
Match the set of sides to whether they form a right-angled triangle (Yes or No).
[2 marks]
Column AColumn B
1. 3, 4, 5 a. Yes
2. 5, 12, 13 b. Yes
3. 1, 2, 3 c. No
4. 6, 8, 11 d. No
Answer
(c)
Match each given set of triangle side lengths ($a$, $b$, hypotenuse $c$) with the correct missing value.
[2 marks]
Column AColumn B
1. 3, 4, c a. c = 5 cm
2. a, 12, 13 b. a = 5 cm
3. 6, b, 10 c. b = 8 cm
4. 5, 12, c d. c = 13 cm
Answer
Q.3 Fill in the Blanks [7 marks]
(a)
In a triangle with sides measuring 3 cm, 4 cm, and 5 cm, the longest side is _____ cm, and the square of this side is _____.
[2 marks]
(b)
For a right-angled triangle with sides a, b, and hypotenuse c, the Pythagoras' Theorem is written as _____ + _____ = _____.
[2 marks]
(c)
In a right triangle, if the hypotenuse is 10 cm and one side is 8 cm, the other side is _____ cm. This is found by calculating the square root of (100 - _____).
[3 marks]
Q.4 One Sentence [6 marks]
(a)
State the relationship between the sides of a right triangle as expressed by Pythagoras' theorem.
[2 marks]
(b)
State the formula for Pythagoras' theorem using sides labeled a, b, and c, where c is the hypotenuse.
[2 marks]
(c)
Describe how you would determine if a triangle with side lengths 7 cm, 24 cm, and 25 cm is a right-angled triangle.
[2 marks]
5.
A carpenter in Chennai is making a wooden rectangular frame for a notice board. The length is 24 cm and the width is 7 cm. He wants to check if the corners are square by measuring the diagonal. What should the exact length of the diagonal be?
[3 marks]
6.
A rectangular courtyard in a school in Jaipur measures 40 m by 30 m. Priya walks along the two adjacent sides (length and breadth) to reach the opposite corner, while Amit walks diagonally across the courtyard from one corner to the opposite corner. Analyze who walks a shorter distance and justify your answer by calculating the exact difference in metres.
[5 marks]
7.
A 5-meter ladder is placed against a wall. The base of the ladder is 3 meters from the wall. How high up the wall does the ladder reach?
[3 marks]
8.
Reference — Diagram: AI visual
A (Base)B (Perpendicular)C (Hypotenuse)
In the given right-angled triangle diagram, identify the labels for sides A, B, and C.
[3 marks]
Label the following: 1 2 3
Generated by Lumai — 10 September 2026
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Class 7 · Mathematics · 10 Aug 2026 — 40 Marks