Question Paper
Class / Subject: Class 10 (ICSE) · Mathematics
Chapter: Chapter 6 — Chapter 6: Solving (Simple) Problems Based on Quadratic Equations
Time Allowed: 32 minutes
Max Marks: 16
1. What is the first step in solving a quadratic word problem? [1]
(A) Translate into an equation using a variable
(B) Guess the answer
(C) Ignore the problem
(D) Skip reading it
2. What might a rectangle area problem lead to? [1]
(A) An equation like x(x+3)=40
(B) Only a linear equation
(C) No equation at all
(D) A random guess
3. What must we check after solving? [1]
(A) Which solutions make contextual sense
(B) Nothing, all solutions are valid
(C) Only negative solutions
(D) Only the largest solution
4. Why might we reject a negative solution? [1]
(A) It doesn't make sense for a physical dimension
(B) Negative solutions are always correct
(C) We never reject solutions
(D) Negative numbers don't exist
5. What skill do these problems build? [1]
(A) Translating situations into mathematical models
(B) No useful skill
(C) Only memorisation
(D) Only guessing
6. Why practice word problems? [1]
(A) To connect algebra to real situations
(B) No reason
(C) It's not useful
(D) Only for tests
7. What represents the unknown in these problems? [1]
(A) A variable
(B) A fixed number always
(C) Nothing represents it
(D) Only the equation's constant
8. Why is context important when solving? [1]
(A) To interpret results meaningfully
(B) No reason
(C) Context doesn't matter
(D) Only the equation matters, not context
9. What is the first step in solving a quadratic word problem? [1]
(A) Translate into an equation using a variable
(B) Guess the answer
(C) Ignore the problem
(D) Skip reading it
10. What might a rectangle area problem lead to? [1]
(A) An equation like x(x+3)=40
(B) Only a linear equation
(C) No equation at all
(D) A random guess
11. What must we check after solving? [1]
(A) Which solutions make contextual sense
(B) Nothing, all solutions are valid
(C) Only negative solutions
(D) Only the largest solution
12. Why might we reject a negative solution? [1]
(A) It doesn't make sense for a physical dimension
(B) Negative solutions are always correct
(C) We never reject solutions
(D) Negative numbers don't exist
13. What skill do these problems build? [1]
(A) Translating situations into mathematical models
(B) No useful skill
(C) Only memorisation
(D) Only guessing
14. Why practice word problems? [1]
(A) To connect algebra to real situations
(B) No reason
(C) It's not useful
(D) Only for tests
15. What represents the unknown in these problems? [1]
(A) A variable
(B) A fixed number always
(C) Nothing represents it
(D) Only the equation's constant
16. Why is context important when solving? [1]
(A) To interpret results meaningfully
(B) No reason
(C) Context doesn't matter
(D) Only the equation matters, not context