Daily Practice

Higher Plus

12th September 1987

5 questions · 13 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
Bounds3 marks
A car covers 110 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A tram runs at 15 m/s for 30 s, then slows steadily to rest over 4 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 opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.

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