Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th September 2003
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Bounds3 marks
x = 125 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Transforming Graphs y=f(x)3 marks
The point (5, -1) lies on y = f(x). Write down its image on y = f(x) + 2.
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