Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th April 2022
- 1Conditional Probability3 marks
A bag holds 3 red, 5 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 10-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
- 3Bounds3 marks
x = 149 and y = 138, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 144. Work out y when x = 6.
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