Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th January 2026

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

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
x = 192 and y = 156, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Inverse and Composite Functions3 marks
f(x) = 4x + 6 and g(x) = 3x - 2. Work out fg(0).
5
Velocity Time Graphs2 marks
A train slows steadily from 37 m/s to rest in 10 seconds. Work out its deceleration.

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