Daily Practice

Higher Plus

5th May 1983

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

1
Conditional Probability3 marks
A bag holds 7 red, 6 blue and 5 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 10-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
3
Surds3 marks
Simplify sqrt(8) + sqrt(32), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 5x - 9 and g(x) = 3x + 5. Work out fg(0).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 4.

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