Daily Practice - Higher Plus
7th April 1995
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 4 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
- 5Algebraic Fractions3 marks
Write 7/(x - 6) + 7/(x - 3) as a single fraction.
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