Daily Practice

Higher Plus

22nd July 1975

5 questions · 14 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) = 14/33. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 14, 20, 28. Work out the second difference, and the coefficient of n^2.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.

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