Daily Practice

Higher Plus

5th October 1988

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 6 red, 4 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 20-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
3
Bounds3 marks
A rectangle is 25 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 9. Work out y when x = 3.

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