Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th August 2026
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 7 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 5 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 3. How many values in total?
- 4Bounds3 marks
x = 132 and y = 45, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 8, 13, 22, 35, ...
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