Daily Practice

Higher Plus

13th January 1970

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

1
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 3 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 0.5, 2, 3, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
4
Algebraic Fractions3 marks
Simplify (x^2 - 15x + 56)/(x - 7).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 72. Work out y when x = 6.

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