Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th January 2026
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 8 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 8 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
x = 182 and y = 94, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 1) with x(0) = 4. Work out x(1) to 3 decimal places.
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