Daily Practice

Higher Plus

9th June 1982

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

1
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 5 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 40 < x <= 60 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A rectangle is 7 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 8) with x(0) = 4. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 29 m/s to rest in 8 seconds. Work out its deceleration.

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