Daily Practice

Higher Plus

1st December 1967

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) = 1/15. Work out r.
2
Histograms3 marks
On a histogram the bar for 40 < x <= 60 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 4) with x(0) = 4. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 4 seconds. Work out its deceleration.

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