Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th April 2017
- 1Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. 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?
- 3Bounds3 marks
A rectangle is 10 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Algebraic Fractions3 marks
Write 3/(x - 5) + 3/(x - 6) as a single fraction.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 144. Work out y when x = 6.
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