Higher Plus
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 7 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).
- 5Transforming Graphs y=f(x)3 marks
The point (0, -5) lies on y = f(x). Write down its image on y = f(x - 3).
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Any date always gives the same five questions, so a sheet can be set again or shared. All of May 1990, including the monthly compilation PDF.