Daily Practice

Higher Plus

24th December 1990

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

1
Conditional Probability3 marks
A bag holds 3 red, 6 blue and 6 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 <= 50 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A block has mass 830 g (to the nearest 10 g) and volume 8 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Algebraic Fractions3 marks
Simplify (x^2 - 9x + 8)/(x - 8).
5
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 5 seconds. Work out its deceleration.

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