Question Paper
Class / Subject: Class 9 (ICSE) · Mathematics
Chapter: Chapter 13 — Chapter 13: Pythagoras Theorem
Time Allowed: 32 minutes
Max Marks: 16
1. What does the Pythagoras Theorem state? [1]
(A) a² + b² = c² in a right triangle
(B) a + b = c always
(C) a × b = c always
(D) It applies to all triangles
2. What is the hypotenuse? [1]
(A) The longest side, opposite the right angle
(B) The shortest side
(C) Any side of a triangle
(D) A side of a square
3. If a=6 and b=8, what is c? [1]
(A) 10
(B) 14
(C) 48
(D) 100
4. What does the converse of the theorem prove? [1]
(A) That a triangle is right-angled
(B) That a triangle is isosceles
(C) That a triangle is equilateral
(D) Nothing specific
5. If a²+b²=c² holds, what can we conclude? [1]
(A) The triangle is a right triangle
(B) The triangle is equilateral
(C) The triangle is isosceles
(D) Nothing can be concluded
6. If a=9 and b=12, what is c? [1]
(A) 15
(B) 21
(C) 108
(D) 3
7. Where is the Pythagoras Theorem used? [1]
(A) Construction and navigation
(B) Only in maths class
(C) Nowhere useful
(D) Only in history
8. If c=17 and a=8, what is b? [1]
(A) 15
(B) 9
(C) 25
(D) 136
9. What does the Pythagoras Theorem state? [1]
(A) a² + b² = c² in a right triangle
(B) a + b = c always
(C) a × b = c always
(D) It applies to all triangles
10. What is the hypotenuse? [1]
(A) The longest side, opposite the right angle
(B) The shortest side
(C) Any side of a triangle
(D) A side of a square
11. If a=6 and b=8, what is c? [1]
(A) 10
(B) 14
(C) 48
(D) 100
12. What does the converse of the theorem prove? [1]
(A) That a triangle is right-angled
(B) That a triangle is isosceles
(C) That a triangle is equilateral
(D) Nothing specific
13. If a²+b²=c² holds, what can we conclude? [1]
(A) The triangle is a right triangle
(B) The triangle is equilateral
(C) The triangle is isosceles
(D) Nothing can be concluded
14. If a=9 and b=12, what is c? [1]
(A) 15
(B) 21
(C) 108
(D) 3
15. Where is the Pythagoras Theorem used? [1]
(A) Construction and navigation
(B) Only in maths class
(C) Nowhere useful
(D) Only in history
16. If c=17 and a=8, what is b? [1]
(A) 15
(B) 9
(C) 25
(D) 136