Interactive quiz

Science entrance 2006/07 — Part B mathematics

Eight adapted questions from the mathematics booklet, including a flagged correction to the trapezoid answer.

8 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.

B8. Which function satisfies f(a+b)=f(a)+f(b) for all real a and b?

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B1. You add pure sugar to 600 g of syrup that is 20% sugar. About how many grams are needed to reach 30%?

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B9. Which quadratic function has a maximum at x=2?

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B4. With two fair dice, which event is least likely: both above 3, equal faces, sum 9, or one even and one odd?

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B7. You want to split any trapezoid into two equal-area parts with a segment. Which points should be joined?

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B2. Between which powers of ten does 0.00577 lie?

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B5. A cone has radius r and height h. Another has one fifth of its volume and radius 2r. What is its height?

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B6. For which value of k does the system kx−y=2, 2x+y=1 have no solution?

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