Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th April 2016
- 1Conditional Probability3 marks
A bag holds 4 red and 9 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 0.5, 2, 1, 3. Which class contains the median?
- 3Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
- 4Transforming Graphs y=f(x)3 marks
The point (5, 0) lies on y = f(x). Write down its image on y = f(x + 3).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 81.
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