Daily Practice · Higher Plus

Daily Practice - Higher Plus

25th November 1991

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

1
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 80 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A block has mass 570 g (to the nearest 10 g) and volume 9 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 - 4. Work out the inverse function f^-1(x).
5
Velocity Time Graphs2 marks
A train slows steadily from 19 m/s to rest in 4 seconds. Work out its deceleration.

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