Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th September 2011
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. 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) = 3/10. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 3. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
- 5Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
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