Daily Practice

Higher Plus

29th May 1983

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

1
Conditional Probability3 marks
A bag holds 5 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 0.5, 2, 3, 1. Which class contains the median?
3
Bounds3 marks
x = 184 and y = 60, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Completing the Square3 marks
Write x^2 - 16x + 15 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 64.

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