Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th March 2026
- 1Conditional Probability3 marks
A bag holds 6 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
- 4Algebraic Fractions3 marks
Write 7/(x - 1) + 6/(x - 5) as a single fraction.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
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