Daily Practice

Higher Plus

29th October 1988

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

1
Conditional Probability3 marks
A bag holds 6 red and 4 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, 0.5, 1, 2. Which class contains the median?
3
Bounds3 marks
A car covers 840 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Inverse and Composite Functions3 marks
f(x) = 8x + 6. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 64. Work out y when x = 4.

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