Daily Practice

Higher Plus

17th July 1984

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 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 8 = y(x + 8).
4
Velocity Time Graphs3 marks
A tram runs at 6 m/s for 20 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 6 cm by 11 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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