Daily Practice

Higher Plus

30th May 1984

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 27 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Inverse and Composite Functions3 marks
f(x) = 3x - 9 and g(x) = 3x - 4. Work out fg(1).
4
Velocity Time Graphs3 marks
A tram runs at 9 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

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