Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th July 2026

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
2
Inverse and Composite Functions3 marks
f(x) = 3x + 3 and g(x) = 5x + 9. Work out fg(-2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 11 cm and an area of 24.75 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.

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.