Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th June 2019
- 1Conditional Probability3 marks
A bag holds 5 red, 3 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 2, 3, 0.5, 1. Which class contains the median?
- 3Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
- 4Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 7 in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 36.
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