Higher Plus
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 4 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 11, 24, 41, ...
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Any date always gives the same five questions, so a sheet can be set again or shared. All of May 1988, including the monthly compilation PDF.