Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th August 2023
- 1Conditional Probability3 marks
A bag holds 5 red and 5 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 1, 2, 3, 0.5. Which class contains the median?
- 3Bounds3 marks
x = 141 and y = 56, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Algebraic Fractions3 marks
Simplify (x^2 + 5x + 4)/(x + 4).
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.
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