Daily Practice

Higher Plus

29th September 1987

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

1
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/12. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 7) with x(0) = 2. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 49.

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