Daily Practice

Higher Plus

9th January 1988

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

1
Conditional Probability3 marks
A bag holds 7 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A car covers 230 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 2) with x(0) = 3. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 16 m/s to rest in 5 seconds. Work out its deceleration.

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