Higher Plus
29th March 1973
- 1Histograms2 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?
- 2Surds3 marks
Simplify sqrt(48) + sqrt(12), giving your answer in the form a sqrt(b).
- 3Inverse and Composite Functions3 marks
f(x) = 6x + 2 and g(x) = 3x - 7. Work out fg(2).
- 4Velocity Time Graphs3 marks
A tram runs at 10 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.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
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