Daily Practice

Higher Plus

31st December 1983

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

1
Conditional Probability3 marks
A bag holds 4 red, 3 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 1, 0.5, 2, 3. Which class contains the median?
3
Bounds3 marks
A car covers 400 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Algebraic Fractions3 marks
Simplify (x^2 + 3x - 40)/(x + 8).
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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