Daily Practice · Higher Plus
Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
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4th September 2026
- 1Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
- 4Quadratic Inequalities3 marks
Solve x^2 + 9x + 20 < 0.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 144. Work out y when x = 6.
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