Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd January 2015
- 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 7 red, 5 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 5 units wide with density 3. How many values in total?
- 4Surds3 marks
Simplify sqrt(12) + sqrt(147), giving your answer in the form a sqrt(b).
- 5Proof2 marks
In an algebraic proof, how would you write a multiple of 7 in terms of an integer n?
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