Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th January 2026

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 8, 19, 36. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 28 m/s over 10 seconds. Work out the acceleration.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. 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.

Every sheet is deterministic: the same date always regenerates the same five questions. All of January 2026, including the monthly compilation PDF.