Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 164 and y = 74, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x - 12.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 64.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 47°, side a is 20 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 red and 11 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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 May 2026, including the monthly compilation PDF.