Daily Practice

Higher Plus

22nd November 1963

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

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/22. Work out r.
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
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Simplify (x^2 + 15x + 56)/(x + 7).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 36.

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