Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th January 2026

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

1
Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 + 8x < 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 23 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 18 cm with an angle of 103° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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