Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd August 2010
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 7/22. 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?
- 4Bounds3 marks
x = 82 and y = 51, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Factorising Harder Quadratics3 marks
Solve 10x^2 - 17x - 20 = 0.
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