Daily Practice

Higher Plus

22nd September 1962

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

1
Conditional Probability3 marks
A bag holds 7 red, 5 blue and 2 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 10 < x <= 15 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A car covers 410 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
Quadratic Inequalities3 marks
Solve x^2 - 9x + 8 > 0.
5
Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 5 seconds. Work out its deceleration.

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