Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th September 2025
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(80) + sqrt(45), giving your answer in the form a sqrt(b).
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 4) with x(0) = 1. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A tram runs at 12 m/s for 30 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 11 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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