Daily Practice

Higher Plus

12th August 1971

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) = 3/55. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
3
Surds3 marks
Simplify sqrt(27) + sqrt(48), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 3x + 2 and g(x) = 5x - 1. Work out fg(-2).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.

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