Daily Practice

Higher Plus

22nd July 1984

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

1
Conditional Probability3 marks
A bag holds 5 red and 3 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 0.5, 2, 1, 3. Which class contains the median?
3
Bounds3 marks
x = 161 and y = 112, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Algebraic Fractions3 marks
Simplify (x^2 - 3x + 2)/(x - 1).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 48. Work out y when x = 4.

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