Daily Practice

Higher Plus

15th August 1952

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

1
Conditional Probability3 marks
A bag holds 6 red, 3 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, 1, 0.5. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 3x - 5 and g(x) = 4x + 2. Work out fg(-1).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 144. Work out y when x = 6.

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