Daily Practice - Higher Plus
- 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 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. 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?
- 4Surds3 marks
Simplify sqrt(80) + sqrt(20), giving your answer in the form a sqrt(b).
- 5Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x - 13.
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