Daily Practice

Higher Plus

5th September 1988

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 5 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 10 < x <= 20 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
A block has mass 400 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 22, 41, 68. Work out the second difference, and the coefficient of n^2.
5
Velocity Time Graphs2 marks
A train slows steadily from 17 m/s to rest in 5 seconds. Work out its deceleration.

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