Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th September 2026

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A rectangle is 16 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 6) with x(0) = 3. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 37 m/s to rest in 4 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 50°, side a is 15 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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