Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th December 1999
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?
- 2Bounds3 marks
A rectangle is 27 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Factorising Harder Quadratics3 marks
Solve 4x^2 - 29x + 30 = 0.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 648.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
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