Daily Practice

Higher Plus

17th August 1986

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

1
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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
Bounds3 marks
x = 99 and y = 63, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 1) with x(0) = 4. 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 = 9. Work out y when x = 36.

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