Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th September 2011
- 1Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 7/15. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
- 3Bounds3 marks
x = 193 and y = 137, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Algebraic Fractions3 marks
Write 7/(x - 1) + 4/(x + 4) as a single fraction.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.
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