Daily Practice

Higher Plus

23rd June 1985

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

1
Conditional Probability3 marks
A bag holds 6 red, 4 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 3, 2, 0.5, 1. Which class contains the median?
3
Bounds3 marks
x = 170 and y = 123, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Inverse and Composite Functions3 marks
f(x) = 4x + 1. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 108. Work out y when x = 6.

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