Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th April 2009
- 1Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
- 2Completing the Square3 marks
Write x^2 - 16x + 11 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 144. Work out y when x = 6.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 12 cm and an area of 21.00 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) = 7/15. Work out r.
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