Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th November 2012
- 1Conditional Probability3 marks
A bag holds 7 red, 6 blue and 3 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 1, 0.5, 2, 3. Which class contains the median?
- 3Bounds3 marks
A rectangle is 9 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Transforming Graphs y=f(x)3 marks
The point (0, 1) 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 = 36, y = 12. Work out y when x = 49.
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