Daily Practice

Higher Plus

18th August 1962

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 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
A car covers 540 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Inverse and Composite Functions3 marks
f(x) = 4x + 8 and g(x) = 3x - 6. Work out fg(-2).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 10 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Perpendicular 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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