Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th January 2001
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. 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) = 2/5. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
- 4Surds3 marks
Simplify sqrt(18) + sqrt(72), giving your answer in the form a sqrt(b).
- 5Quadratic Inequalities3 marks
Solve x^2 - 9 > 0.
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