Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th March 2006
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. 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 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(18) + sqrt(98), giving your answer in the form a sqrt(b).
- 5Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x + 1 simultaneously.
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