Daily Practice

Higher Plus

24th October 1989

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

1
Conditional Probability3 marks
A bag holds 4 red and 5 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 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
3
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
4
Quadratic Inequalities3 marks
Solve x^2 - 12x + 27 > 0.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 16. Work out y when x = 2.

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