Daily Practice

Higher Plus

18th December 1990

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

1
Conditional Probability3 marks
A bag holds 5 red and 6 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, 3, 2, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x + 9.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 64.

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