Daily Practice

Higher Plus

2nd September 1984

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 0 < x <= 5 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
x = 117 and y = 95, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 22 m/s to rest in 5 seconds. Work out its deceleration.

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