Daily Practice

Higher Plus

2nd February 1965

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

1
Conditional Probability3 marks
A bag holds 5 red and 7 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 20 < x <= 40 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).
4
Inverse and Composite Functions3 marks
f(x) = 7x - 6. Work out the inverse function f^-1(x).
5
Velocity Time Graphs2 marks
A train slows steadily from 14 m/s to rest in 4 seconds. Work out its deceleration.

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