Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd August 2001
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (9, 40) lies on the circle x^2 + y^2 = 1681. 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?
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.
- 5Quadratic Inequalities3 marks
Solve x^2 - 10x + 21 > 0.
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