Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

8th April 2026

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 1.5. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 21 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Transforming Graphs y=f(x)3 marks
The point (-1, -6) lies on y = f(x). Write down its image on y = -f(x).
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 10 cm by 14 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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