Daily Practice

Higher Plus

18th February 1986

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 6 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
3
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
4
Inverse and Composite Functions3 marks
f(x) = 6x + 1 and g(x) = 5x - 9. Work out fg(0).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.

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