Daily Practice

Higher Plus

2nd February 1988

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

1
Conditional Probability3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
4
Inverse and Composite Functions3 marks
f(x) = 3x + 3 and g(x) = 6x + 5. Work out fg(3).
5
Velocity Time Graphs2 marks
A train slows steadily from 34 m/s to rest in 5 seconds. Work out its deceleration.

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