Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd March 1999
- 1Quadratic Inequalities3 marks
Solve x^2 - 12x + 27 < 0.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 288.
- 3Proof 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.
- 4Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. Work out r.
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 3. How many values in total?
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