Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th November 1995

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

1
Conditional Probability3 marks
A bag holds 5 red, 3 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 60 < x <= 80 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
4
Inverse and Composite Functions3 marks
f(x) = 4x + 5 and g(x) = 2x + 5. Work out fg(5).
5
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 4 seconds. Work out its deceleration.

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