Daily Practice

Higher Plus

3rd July 1990

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

1
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
3
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
4
Inverse and Composite Functions3 marks
f(x) = 3x - 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 = 4, y = 14. Work out y when x = 25.

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