Daily Practice

Higher Plus

20th May 1972

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

1
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/7. Work out n.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A car covers 150 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 5 seconds. Work out its deceleration.

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