Daily Practice

Higher Plus

20th February 1971

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 2.5. How many more values are in the wider class?
2
Bounds3 marks
A car covers 170 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 8 = y(x + 8).
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
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 13 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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