Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th November 2005
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 3 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 10 units wide with frequency density 1.5, one 5 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Simplify sqrt(18) + sqrt(98), giving your answer in the form a sqrt(b).
- 5Rearranging Harder Formulae3 marks
Make x the subject of 6x + 3 = y(x + 3).
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