Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th February 2026

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 9 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 29 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Inverse and Composite Functions3 marks
f(x) = 5x + 6 and g(x) = 3x - 2. Work out fg(3).

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