Daily Practice

Higher Plus

1st May 1962

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

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 28/45. Work out r.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 7) with x(0) = 1. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 33 m/s to rest in 10 seconds. Work out its deceleration.

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