Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th June 2023
- 1Conditional Probability3 marks
A bag holds 5 red and 4 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 3, 2, 1, 0.5. Which class contains the median?
- 3Bounds3 marks
A rectangle is 21 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 5) with x(0) = 1. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 16.
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