Daily Practice

Higher Plus

2nd June 1979

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 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
A car covers 600 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 13, 27, 45. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A tram runs at 8 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
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 4b and vector RS = 15a + 12b. What does this show about PQ and RS?

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