Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th August 2026
- 1Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
- 2Proof2 marks
In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides 14 cm, 15 cm and 8 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/2. Work out n.
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 August 2026, including the monthly compilation PDF.