Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th November 2025

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

1
Conditional Probability3 marks
A bag holds 6 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 10 < x <= 20 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 35/sqrt(5), giving your answer in its simplest form.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 14x + 5.
5
Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 8 seconds. Work out its deceleration.

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