Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st July 2026

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

1
Completing the Square3 marks
Write x^2 + 16x - 6 in the form (x + a)^2 + b.
2
Velocity Time Graphs3 marks
A tram runs at 10 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 10 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.
5
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?

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