Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th October 2024
- 1Conditional Probability3 marks
A bag holds 4 red and 8 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 2, 1, 3, 0.5. Which class contains the median?
- 3Bounds3 marks
x = 192 and y = 49, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Rearranging Harder Formulae3 marks
Make x the subject of 5x + 3 = y(x + 3).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 12. Work out y when x = 36.
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