Daily Practice

Higher Plus

27th May 1989

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

1
Conditional Probability3 marks
A bag holds 3 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A car covers 210 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
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
5
Velocity Time Graphs2 marks
A train slows steadily from 33 m/s to rest in 8 seconds. Work out its deceleration.

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