Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th September 2023
- 1Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 1, 3. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
- 4Rearranging Harder Formulae3 marks
Make x the subject of 2x + 4 = y(x + 4).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 25.
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