Daily Practice

Higher Plus

19th November 1983

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

1
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 20 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A car covers 510 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
5
Velocity Time Graphs2 marks
A train slows steadily from 21 m/s to rest in 4 seconds. Work out its deceleration.

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