Daily Practice

Higher Plus

10th March 1965

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

1
Conditional Probability3 marks
A bag holds 6 red, 4 blue and 4 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 10 < x <= 15 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A rectangle is 14 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Inverse and Composite Functions3 marks
f(x) = 4x + 4 and g(x) = 2x + 4. Work out fg(3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.

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