Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th August 2025
- 1Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(72) + sqrt(50), giving your answer in the form a sqrt(b).
- 4Algebraic Fractions3 marks
Write 4/(x - 2) + 5/(x + 1) as a single fraction.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 36.
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