Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th August 2012
- 1Conditional Probability3 marks
A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 33/sqrt(11), giving your answer in its simplest form.
- 4Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 16.
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