Daily Practice

Higher Plus

3rd March 1972

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

1
Conditional Probability3 marks
A bag holds 7 red, 7 blue and 2 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 1, 0.5, 2, 3. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 30/sqrt(5), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 6x - 2 and g(x) = 2x - 2. Work out fg(2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 25.

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