Daily Practice

Higher Plus

18th May 1959

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 block has mass 510 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Algebraic Fractions3 marks
Simplify (x^2 + 4x - 32)/(x + 8).
4
Velocity Time Graphs3 marks
A tram runs at 12 m/s for 30 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 = 6a - 3b and vector RS = 18a - 9b. What does this show about PQ and RS?

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