Daily Practice

Higher Plus

30th November 1982

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

1
Conditional Probability3 marks
A bag holds 7 red and 4 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 3, 2, 0.5, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
4
Rearranging Harder Formulae3 marks
Make x the subject of 5x + 8 = y(x + 8).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 4. Work out y when x = 2.

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