Daily Practice

Higher Plus

30th March 1982

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 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
3
Completing the Square3 marks
Write x^2 - 12x - 4 in the form (x + a)^2 + b.
4
Velocity Time Graphs3 marks
A tram runs at 5 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 14 cm by 10 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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