Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th December 2025
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 6 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 6 red and 7 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 10 units wide with frequency density 1.5, one 20 units wide with density 0.8. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 60/sqrt(5), giving your answer in its simplest form.
- 5Rearranging Harder Formulae3 marks
Make x the subject of 5x + 6 = y(x + 6).
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