Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd April 2024
- 1Conditional Probability3 marks
A bag holds 11 red and 3 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 3, 1, 2, 0.5. Which class contains the median?
- 3Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
- 4Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 9. Work out y when x = 3.
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