Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th August 2026
- 1Algebraic Fractions3 marks
Write 2/(x - 1) + 4/(x + 5) as a single fraction.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 72.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 3 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
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