Daily Practice

Higher Plus

10th October 1970

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

1
Conditional Probability3 marks
A bag holds 5 red, 7 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 0 < x <= 20 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A car covers 250 m (to the nearest 10 m) in 9 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) = 5x - 5 and g(x) = 5x - 1. Work out fg(1).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.

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