Daily Practice

Higher Plus

7th January 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 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
A car covers 550 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Factorising Harder Quadratics3 marks
Solve 6x^2 - 7x - 20 = 0.
4
Velocity Time Graphs3 marks
A tram runs at 9 m/s for 30 s, then slows steadily to rest over 4 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 = 3a - 2b and vector RS = 6a - 4b. What does this show about PQ and RS?

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