Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th December 2018
- 1Conditional Probability3 marks
A bag holds 7 red, 5 blue and 6 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 0.5, 1, 3, 2. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(80) + sqrt(125), giving your answer in the form a sqrt(b).
- 4Inverse and Composite Functions3 marks
f(x) = 4x + 5. Work out the inverse function f^-1(x).
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.
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