Daily Practice

Higher Plus

24th October 1957

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) = 5/12. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?
3
Surds3 marks
Simplify sqrt(18) + sqrt(18), giving your answer in the form a sqrt(b).
4
Factorising Harder Quadratics3 marks
Solve 20x^2 + 27x + 9 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 18. Work out y when x = 3.

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