Daily Practice

Higher Plus

24th May 1961

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

1
Conditional Probability3 marks
A bag holds 9 red and 3 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 2, 1, 0.5, 3. Which class contains the median?
3
Bounds3 marks
A rectangle is 18 cm by 20 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 three consecutive even numbers in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 36.

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