Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd September 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 10 < x <= 15 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
4
Algebraic Fractions3 marks
Simplify (x^2 - 12x + 35)/(x - 5).
5
Velocity Time Graphs2 marks
A train slows steadily from 15 m/s to rest in 4 seconds. Work out its deceleration.

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