Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th January 2009
- 1Bounds3 marks
A rectangle is 24 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Algebraic Fractions3 marks
Simplify (x^2 - x - 30)/(x - 6).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 15 cm and an area of 45.47 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
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