Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd October 2001
- 1Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
- 2Rearranging Harder Formulae3 marks
Make x the subject of 8x + 5 = y(x + 5).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 8 cm and an area of 39.60 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) = 2/15. Work out r.
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