Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th August 2001
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(72) + sqrt(98), giving your answer in the form a sqrt(b).
- 5Completing the Square3 marks
Write x^2 - 14x - 6 in the form (x + a)^2 + b.
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