Daily Practice

Higher Plus

8th March 1977

5 questions · 12 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
Surds3 marks
Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 13, 22, 35, 52. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A tram runs at 9 m/s for 10 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 angle in a semicircle is being proved. State the reason being quoted.

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