Daily Practice - Higher Plus
3rd December 1995
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 4 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Bounds3 marks
x = 192 and y = 144, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Transforming Graphs y=f(x)3 marks
The point (0, -4) lies on y = f(x). Write down its image on y = f(x) - 1.
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