Daily Practice

Higher Plus

16th May 1973

5 questions · 14 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 3. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 24 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 6 = y(x + 6).
4
Velocity Time Graphs3 marks
A tram runs at 14 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 12 cm by 10 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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