Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th April 2007
- 1Conditional Probability3 marks
A bag holds 5 red, 7 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 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
- 3Bounds3 marks
x = 76 and y = 31, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Transforming Graphs y=f(x)3 marks
The point (6, -3) lies on y = f(x). Write down its image on y = f(x) - 4.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 64.
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