Daily Practice

Higher Plus

9th March 1954

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 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 7) with x(0) = 4. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A tram runs at 10 m/s for 20 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 alternate segment theorem is being proved. State the reason being quoted.

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