Interactive quiz

Science entrance 2006/07 — Part A

Seven adapted mathematics questions from the general part of the 2006/07 questionnaire, with worked answers.

7 randomly selected questions Pass mark: 60%

Instructions

Questions and options are shuffled. One point for a correct answer, zero for an error or omission. Read the explanation after submission. This is a teaching selection; consult the linked PDF for the full material.

A10. If a is negative, when is a/(2−x) positive?

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A11. Three friends spend €350, €300 and €550. To share the cost equally, how much must the first two pay the third?

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A6. Which of these is NOT a unit of energy?

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A18. A rising path has two segments: the first runs 1 horizontally and rises 1; the second runs 2 and rises 1. What is the overall slope?

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A14. The mean minimum temperature for the first six days is 4 °C; on day seven it is 11 °C. What is the weekly mean?

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A9. In a population of 25 million, 200,000 residents are foreign nationals. What percentage is that?

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A12. For n numbers x₁,…,xₙ with mean M, which formula means “mean of squares minus square of the mean”?

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