Daily Practice

Higher Plus

11th December 1973

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

1
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
4
Algebraic Fractions3 marks
Simplify (x^2 - 4x - 21)/(x + 3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 16.

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