Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st November 2024
- 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 3, 1, 2, 0.5. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
- 4Factorising Harder Quadratics3 marks
Solve 4x^2 - 9 = 0.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 64. Work out y when x = 4.
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