Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th December 2025
- 1Conditional Probability3 marks
A bag holds 7 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
- 3Bounds3 marks
x = 131 and y = 91, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Factorising Harder Quadratics3 marks
Solve 8x^2 - 2x - 15 = 0.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.
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