Daily Practice

Higher Plus

4th February 1975

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

1
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
4
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 8 = y(x + 8).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.

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