Daily Practice

Higher Plus

2nd January 1971

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

1
Conditional Probability3 marks
A bag holds 4 red and 8 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 10 < x <= 30 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A car covers 780 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -2, 3, 12, 25, ...
5
Velocity Time Graphs2 marks
A train slows steadily from 25 m/s to rest in 8 seconds. Work out its deceleration.

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