Daily Practice - Higher Plus
10th June 1996
- 1Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 7 m/s over 8 seconds. Work out the acceleration.
- 3Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
- 4Conditional Probability3 marks
A bag holds 7 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 0.8. How many values in total?
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