Daily Practice

Higher Plus

16th January 1990

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 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
4
Inverse and Composite Functions3 marks
f(x) = 6x - 7 and g(x) = 4x + 9. Work out fg(3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 15. Work out y when x = 16.

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