Daily Practice

Higher Plus

29th September 1979

5 questions · 13 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) = 14/33. Work out r.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 10 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A car covers 270 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -5, 1, 13, 31. Work out the second difference, and the coefficient of n^2.
5
Velocity Time Graphs2 marks
A train slows steadily from 36 m/s to rest in 4 seconds. Work out its deceleration.

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