Daily Practice

Higher Plus

11th October 1963

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

1
Conditional Probability3 marks
A bag holds 6 red and 3 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 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 60/sqrt(6), giving your answer in its simplest form.
4
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
5
Velocity Time Graphs2 marks
A train slows steadily from 12 m/s to rest in 4 seconds. Work out its deceleration.

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