Daily Practice

Higher Plus

7th March 1977

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

1
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 2 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 <= 40 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A block has mass 850 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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 29 m/s to rest in 4 seconds. Work out its deceleration.

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