Higher Plus
- 1Conditional Probability3 marks
A bag holds 7 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.
- 4Proof2 marks
In an algebraic proof, how would you write a multiple of 7 in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 144. Work out y when x = 6.
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