Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st August 2026

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

1
Velocity Time Graphs2 marks
A train slows steadily from 17 m/s to rest in 5 seconds. Work out its deceleration.
2
The Sine Rule3 marks
In triangle ABC, angle A is 70°, side a is 14 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 6 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
4
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 1.2. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 10/sqrt(5), giving your answer in its simplest form.

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