Daily Practice

Higher Plus

23rd October 1956

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

1
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 2 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 <= 20 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).
4
Inverse and Composite Functions3 marks
f(x) = 3x - 9 and g(x) = 5x + 3. Work out fg(1).
5
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 8 seconds. Work out its deceleration.

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