Daily Practice

Higher Plus

6th May 1984

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
x = 36 and y = 8, 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 (8x(n) + 2) with x(0) = 1. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A tram runs at 6 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
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 2b and vector RS = 4a - 4b. What does this show about PQ and RS?

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