Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th July 2026

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 21 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Inverse and Composite Functions3 marks
f(x) = 6x - 4. Work out the inverse function f^-1(x).

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 July 2026, including the monthly compilation PDF.