Daily Practice

Higher Plus

4th January 1966

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

1
Conditional Probability3 marks
A bag holds 7 red, 7 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 50 < x <= 60 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
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 38 m/s to rest in 5 seconds. Work out its deceleration.

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