Daily Practice

Higher Plus

16th May 1958

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

1
Conditional Probability3 marks
A bag holds 6 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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
Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
4
Factorising Harder Quadratics3 marks
Solve 12x^2 - 5x - 2 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 36.

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