Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th November 2025

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

1
Velocity Time Graphs2 marks
A train slows steadily from 36 m/s to rest in 8 seconds. Work out its deceleration.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 12 cm and an area of 31.18 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
4
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Simplify sqrt(50) + sqrt(50), giving your answer in the form a sqrt(b).

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