Daily Practice

Higher Plus

8th November 1977

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
4
Algebraic Fractions3 marks
Simplify (x^2 - 5x - 14)/(x + 2).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 64. Work out y when x = 4.

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