Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Conditional Probability3 marks
A bag holds 6 red, 5 blue and 3 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 0.5, 3, 1, 2. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 4Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 6 in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.
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