Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st February 2019
- 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?
- 3Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
- 4Inverse and Composite Functions3 marks
f(x) = 4x - 7 and g(x) = 5x - 9. Work out fg(-3).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 36.
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