Daily Practice

Higher Plus

8th February 1987

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
x = 113 and y = 79, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Inverse and Composite Functions3 marks
f(x) = 2x + 11. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A tram runs at 13 m/s for 10 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.

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