Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st December 2025
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
x = 156 and y = 44, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 7, 16, 27, ...
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 25 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
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.