Daily Practice · Higher Plus

Daily Practice - Higher Plus

16th December 1996

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

1
Conditional Probability3 marks
A bag holds 7 red and 5 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 30 < x <= 35 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A block has mass 230 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 7) with x(0) = 1. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 15 m/s to rest in 10 seconds. Work out its deceleration.

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