Daily Practice

Higher Plus

11th July 1976

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
x = 121 and y = 84, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 8) with x(0) = 4. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A tram runs at 20 m/s for 10 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 OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.

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