Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th July 2025
- 1Bounds3 marks
x = 176 and y = 83, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Proof2 marks
In an algebraic proof, how would you write two consecutive odd 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 of 10 cm and 7 cm with an angle of 129° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 5 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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 July 2025, including the monthly compilation PDF.