Daily Practice

Higher Plus

2nd September 1966

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 2.5. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 35/sqrt(7), giving your answer in its simplest form.
3
Rearranging Harder Formulae3 marks
Make x the subject of 5x + 6 = y(x + 6).
4
Velocity Time Graphs3 marks
A tram runs at 19 m/s for 20 s, then slows steadily to rest over 4 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 a radius is drawn to the midpoint of a chord. State the reason being quoted.

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