Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd January 1999
- 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) = 15/28. 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 3. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 72/sqrt(6), giving your answer in its simplest form.
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 10, 21, 38. Work out the second difference, and the coefficient of n^2.
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