Daily Practice - Higher Plus
4th December 1992
- 1The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 6, 15, 32, 57, ...
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 150. Work out the positive value of x when y = 24.
- 3Proof 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.
- 4Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?
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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1992, including the monthly compilation PDF.