Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th July 2001
- 1Bounds3 marks
A rectangle is 9 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Factorising Harder Quadratics3 marks
Solve 16x^2 - 8x - 15 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 64.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 15 cm and an area of 90.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.
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