Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th September 2007
- 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) = 36/55. Work out r.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
- 5Inverse and Composite Functions3 marks
f(x) = 4x + 1 and g(x) = 5x + 4. Work out fg(5).
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