Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th June 2026
- 1Conditional Probability3 marks
A bag holds 7 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).
- 4Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
- 5Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 10 seconds. Work out its deceleration.
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