Daily Practice

Higher Plus

6th August 1971

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

1
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 70/sqrt(7), giving your answer in its simplest form.
4
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
5
Velocity Time Graphs2 marks
A train slows steadily from 23 m/s to rest in 10 seconds. Work out its deceleration.

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