Higher Plus
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
x = 107 and y = 20, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Transforming Graphs y=f(x)3 marks
The point (-4, 0) lies on y = f(x). Write down its image on y = f(x + 5).
- 4Velocity Time Graphs3 marks
A tram runs at 5 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
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Any date always gives the same five questions, so a sheet can be set again or shared. All of May 1989, including the monthly compilation PDF.