Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th November 2021
- 1Conditional Probability3 marks
A bag holds 4 red and 4 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 1, 2, 3, 0.5. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 10/sqrt(5), giving your answer in its simplest form.
- 4Transforming Graphs y=f(x)3 marks
The point (-5, -5) lies on y = f(x). Write down its image on y = f(x - 5).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 81.
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