Daily Practice

Higher Plus

14th August 1974

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

1
Conditional Probability3 marks
A bag holds 4 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A rectangle is 12 cm by 6 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 (6x(n) + 6) with x(0) = 1. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 8 seconds. Work out its deceleration.

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