Daily Practice

Higher Plus

10th May 1966

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) = 14/33. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
4
Quadratic Inequalities3 marks
Solve x^2 + 11x + 24 < 0.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.

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