Daily Practice

Higher Plus

9th August 1975

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

1
Conditional Probability3 marks
A bag holds 8 red and 5 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 60 < x <= 70 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A car covers 850 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x - 9.
5
Velocity Time Graphs2 marks
A train slows steadily from 34 m/s to rest in 4 seconds. Work out its deceleration.

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