Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st July 2026

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 28/sqrt(7), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 2x + 6 and g(x) = 2x - 7. Work out fg(-3).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 12 m/s over 10 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 5 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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