Daily Practice

Higher Plus

15th June 1982

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

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/11. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 6, 16, 34, 60, ...
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.

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