Daily Practice

Higher Plus

22nd April 1958

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

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. Work out r.
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
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
4
Algebraic Fractions3 marks
Simplify (x^2 - 11x + 28)/(x - 4).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 49.

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