Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd February 2026

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

1
Bounds3 marks
A block has mass 750 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 17 m/s to rest in 8 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 69°, side a is 10 cm and side b is 7 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 8 red and 5 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.

Every sheet is deterministic: the same date always regenerates the same five questions. All of February 2026, including the monthly compilation PDF.