Daily Practice

Higher Plus

9th November 1954

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 20-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
3
Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
4
Inverse and Composite Functions3 marks
f(x) = 5x + 8 and g(x) = 5x - 2. Work out fg(3).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.

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