Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th August 2026

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(48), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 4x - 1.
3
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 5 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 7 cm and an area of 22.27 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.

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