Daily Practice

Higher Plus

13th July 1980

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

1
Conditional Probability3 marks
A bag holds 4 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 60 < x <= 65 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
x = 155 and y = 139, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
5
Velocity Time Graphs2 marks
A train slows steadily from 29 m/s to rest in 8 seconds. Work out its deceleration.

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