Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th November 2025
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 7 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 3. How many values in total?
- 4Surds3 marks
Simplify sqrt(80) + sqrt(180), giving your answer in the form a sqrt(b).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 23, 49, 85. Work out the second difference, and the coefficient of n^2.
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