Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th October 2006
- 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 11 counters, r of them red. Two are taken without replacement and P(both red) = 21/55. 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 0.6. How many values in total?
- 4Surds3 marks
Simplify sqrt(32) + sqrt(32), giving your answer in the form a sqrt(b).
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 8) with x(0) = 2. Work out x(1) to 3 decimal places.
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