Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th August 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 2. How many more values are in the wider class?
2
Bounds3 marks
x = 42 and y = 10, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 16x - 2.
4
Velocity Time Graphs3 marks
A tram runs at 5 m/s for 10 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 12 cm by 11 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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