Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th February 2026
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(32) + sqrt(8), giving your answer in the form a sqrt(b).
- 3Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 4Velocity Time Graphs3 marks
A tram runs at 6 m/s for 30 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
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