Daily Practice

Higher Plus

28th December 1979

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

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 28/55. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 5x + 4 and g(x) = 6x - 3. Work out fg(-1).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 49.

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