Daily Practice

Higher Plus

19th January 1986

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

1
Conditional Probability3 marks
A bag holds 6 red, 3 blue and 4 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 10 < x <= 30 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
x = 58 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.
5
Velocity Time Graphs2 marks
A train slows steadily from 31 m/s to rest in 4 seconds. Work out its deceleration.

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