Daily Practice

Higher Plus

8th February 1981

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

1
Conditional Probability3 marks
A bag holds 7 red and 5 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 20-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
3
Bounds3 marks
x = 96 and y = 62, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Inverse and Composite Functions3 marks
f(x) = 3x + 4 and g(x) = 5x - 8. Work out fg(6).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 36.

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