Daily Practice

Higher Plus

29th September 1971

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

1
Conditional Probability3 marks
A bag holds 5 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
3
Bounds3 marks
A rectangle is 16 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 3 = y(x + 3).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.

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