Daily Practice

Higher Plus

29th February 1960

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

1
Conditional Probability3 marks
A bag holds 5 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A block has mass 580 g (to the nearest 10 g) and volume 10 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) = 3x + 8 and g(x) = 3x - 6. Work out fg(4).
5
Velocity Time Graphs2 marks
A train slows steadily from 36 m/s to rest in 5 seconds. Work out its deceleration.

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