Daily Practice

Higher Plus

25th January 1985

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 1.5. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 20/sqrt(5), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 + 2x - 24)/(x + 6).
4
Velocity Time Graphs3 marks
A tram runs at 15 m/s for 30 s, then slows steadily to rest over 6 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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