Question Paper
Class / Subject: Class 8 (ICSE) · Mathematics
Chapter: Chapter 10 — Chapter 10: Direct and Inverse Variation
Time Allowed: 32 minutes
Max Marks: 16
1. What is direct variation? [1]
(A) y = kx, quantities increase together
(B) y = k/x, one increases as other decreases
(C) No relationship exists
(D) Quantities are always equal
2. What is inverse variation? [1]
(A) y = k/x, one increases as other decreases
(B) y = kx, quantities increase together
(C) No relationship exists
(D) Quantities are always equal
3. What is an example of direct variation? [1]
(A) Distance and time at constant speed
(B) Speed and time for fixed distance
(C) Random unrelated quantities
(D) Nothing represents this
4. What is an example of inverse variation? [1]
(A) Speed and time for fixed distance
(B) Distance and time at constant speed
(C) Random unrelated quantities
(D) Nothing represents this
5. In direct variation, if x doubles, what happens to y? [1]
(A) y doubles too
(B) y halves
(C) y stays the same
(D) y becomes zero
6. In inverse variation, if x doubles, what happens to y? [1]
(A) y halves
(B) y doubles too
(C) y stays the same
(D) y becomes zero
7. What is 'k' in these formulas? [1]
(A) A constant
(B) A variable that changes
(C) Always zero
(D) Always one
8. Why learn about variation? [1]
(A) To model real-world proportional relationships
(B) No reason
(C) It's not useful
(D) Only for tests
9. What is direct variation? [1]
(A) y = kx, quantities increase together
(B) y = k/x, one increases as other decreases
(C) No relationship exists
(D) Quantities are always equal
10. What is inverse variation? [1]
(A) y = k/x, one increases as other decreases
(B) y = kx, quantities increase together
(C) No relationship exists
(D) Quantities are always equal
11. What is an example of direct variation? [1]
(A) Distance and time at constant speed
(B) Speed and time for fixed distance
(C) Random unrelated quantities
(D) Nothing represents this
12. What is an example of inverse variation? [1]
(A) Speed and time for fixed distance
(B) Distance and time at constant speed
(C) Random unrelated quantities
(D) Nothing represents this
13. In direct variation, if x doubles, what happens to y? [1]
(A) y doubles too
(B) y halves
(C) y stays the same
(D) y becomes zero
14. In inverse variation, if x doubles, what happens to y? [1]
(A) y halves
(B) y doubles too
(C) y stays the same
(D) y becomes zero
15. What is 'k' in these formulas? [1]
(A) A constant
(B) A variable that changes
(C) Always zero
(D) Always one
16. Why learn about variation? [1]
(A) To model real-world proportional relationships
(B) No reason
(C) It's not useful
(D) Only for tests