Daily Practice

Higher Plus

20th October 1952

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

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A block has mass 610 g (to the nearest 10 g) and volume 16 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) = 6x + 10. Work out the inverse function f^-1(x).
5
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 10 seconds. Work out its deceleration.

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