Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th January 2008
- 1Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
- 3Bounds3 marks
A rectangle is 16 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Factorising Harder Quadratics3 marks
Solve 20x^2 - 17x + 3 = 0.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 108. Work out y when x = 6.
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