Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st July 2019
- 1Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
- 3Bounds3 marks
A rectangle is 7 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 9) with x(0) = 3. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.
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