Daily Practice

Higher Plus

12th July 1985

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 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 4x - 7 and g(x) = 3x + 7. Work out fg(-3).
4
Velocity Time Graphs3 marks
A tram runs at 13 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
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 10 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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