Daily Practice

Higher Plus

27th March 1979

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

1
Conditional Probability3 marks
A bag holds 7 red, 3 blue and 6 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 10-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 16x + 11.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.

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