Daily Practice

Higher Plus

11th March 1966

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) = 5/18. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 30/sqrt(5), giving your answer in its simplest form.
4
Factorising Harder Quadratics3 marks
Solve 3x^2 + 10x + 8 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 64.

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