Daily Practice

Higher Plus

23rd March 1974

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

1
Conditional Probability3 marks
A bag holds 6 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A car covers 350 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Algebraic Fractions3 marks
Simplify (x^2 - 2x - 15)/(x + 3).
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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