Daily Practice · Higher Plus

Daily Practice - Higher Plus

15th April 1997

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

1
Conditional Probability3 marks
A bag holds 3 red and 9 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 0 < x <= 20 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
4
Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
5
Velocity Time Graphs2 marks
A train slows steadily from 21 m/s to rest in 10 seconds. Work out its deceleration.

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