Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd August 2011
- 1Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
- 2Rearranging Harder Formulae3 marks
Make x the subject of 5x + 8 = y(x + 8).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 8 cm and an area of 42.43 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
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