Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th June 2025
- 1Conditional Probability3 marks
A bag holds 4 red and 9 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 20-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
- 3Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 3, 10, 19, 30, ...
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 81.
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