Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st October 2025

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 7 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 40 < x <= 50 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(11))(9 - sqrt(11)).
4
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
5
Velocity Time Graphs2 marks
A train slows steadily from 29 m/s to rest in 4 seconds. Work out its deceleration.

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