Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd October 2001
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 5 red, 6 blue and 3 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 0.4, one 10 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
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