A free test set with known answers
Each problem has a known answer and a trap that catches careless solvers. Copy them into any tool:
- 6/2(1 + 2): a careful reply names both readings, 9 (left to right) and 1 (implied multiplication first)
- A shirt costs $40 after a 20% discount. What was the original price? Answer: $50, not $48
- Solve sqrt(x + 7) = x - 5. Answer: x = 9 only; x = 2 is an extraneous root
- Solve x^2 = 2x. Answer: x = 0 or x = 2; dividing both sides by x loses x = 0
- Integrate 1/x dx. Answer: ln|x| + C, with the absolute value
- Two dice are rolled. What is the probability that the sum is 7? Answer: 6/36 = 1/6
- A bat and a ball cost $1.10 together, and the bat costs $1.00 more than the ball. What does the ball cost? Answer: $0.05
- What is the sum of the interior angles of a hexagon? Answer: (6 - 2) × 180° = 720°








