Daily Practice

Higher Plus

23rd September 1980

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

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 0.4. 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 + 1. Work out the inverse function f^-1(x).
5
Velocity Time Graphs2 marks
A train slows steadily from 35 m/s to rest in 8 seconds. Work out its deceleration.

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