Daily Practice

Higher Plus

21st March 1970

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 2. How many more values are in the wider class?
2
Bounds3 marks
A car covers 880 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Quadratic Inequalities3 marks
Solve x^2 + 2x - 15 > 0.
4
Velocity Time Graphs3 marks
A tram runs at 14 m/s for 20 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 = 4a + 3b and vector RS = 16a + 12b. What does this show about PQ and RS?

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