Daily Practice

Higher Plus

30th January 1984

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 6 red, 7 blue and 5 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 20 < x <= 25 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A block has mass 750 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Inverse and Composite Functions3 marks
f(x) = 2x + 12. Work out the inverse function f^-1(x).
5
Velocity Time Graphs2 marks
A train slows steadily from 22 m/s to rest in 10 seconds. Work out its deceleration.

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