Higher Plus
14th August 1983
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
- 4Bounds3 marks
x = 80 and y = 6, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -3, 5, 19, 39, ...
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