Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th March 2010
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 0.8. How many values in total?
- 4Surds3 marks
Simplify sqrt(75) + sqrt(3), giving your answer in the form a sqrt(b).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 4, 5, 8. Work out the second difference, and the coefficient of n^2.
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