AlgebraEasy–MediumFive-point questions on a test
Algebra practice question
A test has 20 questions. Each question is worth either 2 points or 5 points, and the test is worth 61 points in total. How many questions are worth 5 points?
Answer: 7
With f five-point questions: 2(20 − f) + 5f = 61 gives 3f = 21, so f = 7.
Common wrong answers
- If you answered 10
- 10 assumes an even split.
- If you answered 13
- 13 is the number of 2-point questions.
- If you answered 12.2
- 12.2 divides 61 by 5, ignoring the 2-point questions.
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