Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th April 2023
- 1Conditional Probability3 marks
A bag holds 3 red, 4 blue and 4 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 3, 0.5, 2, 1. Which class contains the median?
- 3Bounds3 marks
A rectangle is 7 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 2.
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