Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th June 2002
- 1Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
- 3Bounds3 marks
x = 67 and y = 52, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Factorising Harder Quadratics3 marks
Solve 10x^2 + 11x + 3 = 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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