Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd September 1997
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 6 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 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
- 5Algebraic Fractions3 marks
Simplify (x^2 - 2x - 24)/(x + 4).
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