Daily Practice

Higher Plus

12th February 1986

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

1
Conditional Probability3 marks
A bag holds 6 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 0 < x <= 5 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 24 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Proof3 marks
Prove that the sum of 6 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 33 m/s to rest in 10 seconds. Work out its deceleration.

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