Daily Practice - Higher Plus
22nd March 1997
- 1Conditional Probability3 marks
A bag holds 7 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 2.4. How many values are in that class?
- 3Bounds3 marks
A car covers 680 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
- 5Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 8 seconds. Work out its deceleration.
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