Daily Practice

Higher Plus

30th March 1976

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

1
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).
4
Factorising Harder Quadratics3 marks
Solve 5x^2 + 21x - 20 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 16.

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