Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st December 2004
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. 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 20 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
- 5Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 16x + 6.
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