Daily Practice

Higher Plus

24th January 1984

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

1
Conditional Probability3 marks
A bag holds 3 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
4
Factorising Harder Quadratics3 marks
Solve 6x^2 + 7x + 2 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 25.

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