Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd December 2014
- 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 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 1, 4, 11, 22. Work out the second difference, and the coefficient of n^2.
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