Daily Practice · Higher Plus

Daily Practice - Higher Plus

8th July 1995

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
A car covers 540 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 3) with x(0) = 4. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A tram runs at 9 m/s for 10 s, then slows steadily to rest over 6 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 = 6a - 2b and vector RS = 24a - 8b. What does this show about PQ and RS?

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