Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th November 2015
- 1Conditional Probability3 marks
A bag holds 7 red, 3 blue and 4 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 3, 1, 0.5, 2. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
- 4Rearranging Harder Formulae3 marks
Make x the subject of 7x + 8 = y(x + 8).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 81.
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