Daily Practice

Higher Plus

15th July 1989

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
A car covers 650 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
Algebraic Fractions3 marks
Simplify (x^2 + 7x + 10)/(x + 2).
4
Velocity Time Graphs3 marks
A tram runs at 15 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 3 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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