Daily Practice

Higher Plus

16th March 1981

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 3 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, 2, 1. Which class contains the median?
3
Bounds3 marks
A block has mass 390 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Algebraic Fractions3 marks
Simplify (x^2 - 7x + 6)/(x - 6).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 16. Work out y when x = 4.

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