Daily Practice

Higher Plus

28th November 1972

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

1
Conditional Probability3 marks
A bag holds 4 red, 7 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 30 < x <= 40 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
4
Inverse and Composite Functions3 marks
f(x) = 8x - 6. Work out the inverse function f^-1(x).
5
Velocity Time Graphs2 marks
A train slows steadily from 24 m/s to rest in 5 seconds. Work out its deceleration.

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