Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th April 2019
- 1Conditional Probability3 marks
A bag holds 7 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -8, -8, -6, -2, ...
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
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