Daily Practice

Higher Plus

15th May 1987

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 40/sqrt(5), giving your answer in its simplest form.
3
Factorising Harder Quadratics3 marks
Solve 8x^2 + 10x - 3 = 0.
4
Velocity Time Graphs3 marks
A tram runs at 18 m/s for 20 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 OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.

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