Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd November 2002
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
- 3Quadratic Inequalities3 marks
Solve x^2 - 5x + 4 < 0.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out the positive value of x when y = 64.
- 5Proof 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.
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