Daily Practice - Higher Plus
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.
- 3Inverse and Composite Functions3 marks
f(x) = 3x + 1 and g(x) = 4x - 9. Work out fg(0).
- 4Velocity Time Graphs3 marks
A tram runs at 12 m/s for 20 s, then slows steadily to rest over 10 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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