Daily Practice

Higher Plus

26th July 1973

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

1
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 3 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 20 < x <= 25 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(72) + sqrt(2), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 4x + 5 and g(x) = 6x - 4. Work out fg(1).
5
Velocity Time Graphs2 marks
A train slows steadily from 35 m/s to rest in 5 seconds. Work out its deceleration.

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