Daily Practice - Higher Plus
17th November 1993
- 1Completing the Square3 marks
Write x^2 - 4x + 10 in the form (x + a)^2 + b.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 18.5 m/s over 5 seconds. Work out the acceleration.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 14 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4Conditional Probability3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
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