Daily Practice

Higher Plus

30th January 1976

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

1
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 3, 2. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 4x - 4 and g(x) = 6x - 8. Work out fg(1).
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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