Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th March 2005
- 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 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 20 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -2, 10, 32, 64. Work out the second difference, and the coefficient of n^2.
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