Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th June 2026

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

1
Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 9, 15, 23, 33, ...
3
Velocity Time Graphs2 marks
A train slows steadily from 37 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides 9 cm, 12 cm and 12 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.

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