Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th August 1994

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 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
A car covers 460 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 2 = y(x + 2).
4
Velocity Time Graphs3 marks
A tram runs at 15 m/s for 30 s, then slows steadily to rest over 10 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 the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.

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