Daily Practice

Higher Plus

7th September 1982

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

1
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 3 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, 3, 0.5, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
4
Inverse and Composite Functions3 marks
f(x) = 6x + 6. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 25.

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