Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th September 2026

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

1
Bounds3 marks
x = 158 and y = 85, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Write 3/(x - 1) + 3/(x) as a single fraction.
3
Velocity Time Graphs2 marks
A train slows steadily from 36 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 11 cm with an angle of 55° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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