Daily Practice

Higher Plus

15th April 1981

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

1
Conditional Probability3 marks
A bag holds 4 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A rectangle is 20 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Inverse and Composite Functions3 marks
f(x) = 4x - 1. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.

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