Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th July 2026

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

1
Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 8 seconds. Work out its deceleration.
2
The Cosine Rule3 marks
A triangle has sides of 17 cm and 14 cm with an angle of 73° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).

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