Daily Practice

Higher Plus

9th July 1981

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

1
Histograms2 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?
2
Surds3 marks
Simplify sqrt(18) + sqrt(8), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 6x + 11. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A tram runs at 8 m/s for 30 s, then slows steadily to rest over 6 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 (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.

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