Daily Practice

Higher Plus

8th February 1972

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

1
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?
3
Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 6) with x(0) = 1. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 16.

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