Daily Practice

Higher Plus

31st May 1961

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 3. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 11 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Inverse and Composite Functions3 marks
f(x) = 8x - 5. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A tram runs at 18 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 two tangents are drawn to a circle from the same external point. State the reason being quoted.

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