Daily Practice

Higher Plus

20th October 1975

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

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 15/22. Work out r.
2
Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A block has mass 560 g (to the nearest 10 g) and volume 20 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 - 3 and g(x) = 3x - 9. Work out fg(-3).
5
Velocity Time Graphs2 marks
A train slows steadily from 23 m/s to rest in 10 seconds. Work out its deceleration.

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