Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th January 2013
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
- 4Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 16, 31, 52. Work out the second difference, and the coefficient of n^2.
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