Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th February 1998
- 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 7 red, 7 blue and 6 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 0.4, one 10 units wide with density 3.5. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 36/sqrt(6), giving your answer in its simplest form.
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 11, 23, 41, 65, ...
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