Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th June 1999
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 6 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
- 5Algebraic Fractions3 marks
Write 5/(x + 1) + 2/(x + 2) as a single fraction.
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