Daily Practice

Higher Plus

18th June 1986

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 4 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 20-wide classes from 0, with frequency densities 0.5, 1, 3, 2. Which class contains the median?
3
Bounds3 marks
A rectangle is 9 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Quadratic Inequalities3 marks
Solve x^2 + 9x + 14 < 0.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 27. Work out y when x = 3.

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