Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th September 2001
- 1Conditional Probability3 marks
A bag holds 7 red, 7 blue and 2 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 2, 1, 3, 0.5. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(48) + sqrt(12), giving your answer in the form a sqrt(b).
- 4Transforming Graphs y=f(x)3 marks
The point (1, 1) lies on y = f(x). Write down its image on y = f(x + 6).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 49.
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