Daily Practice

Higher Plus

28th May 1974

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
4
Inverse and Composite Functions3 marks
f(x) = 3x + 2 and g(x) = 3x - 7. Work out fg(0).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 81.

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