Daily Practice

Higher Plus

1st February 1979

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

1
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(8) + sqrt(8), giving your answer in the form a sqrt(b).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 5) with x(0) = 4. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 33 m/s to rest in 8 seconds. Work out its deceleration.

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