Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd December 2025
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 3. How many values in total?
- 2Bounds3 marks
A rectangle is 11 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Inverse and Composite Functions3 marks
f(x) = 3x + 10. Work out the inverse function f^-1(x).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 18 m/s over 8 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 13 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
You are looking at an earlier sheet. Today's sheet is the one that adds a day.
Your run is kept in this browser only, and there is no account.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of December 2025, including the monthly compilation PDF.