Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd February 2011
- 1Surds3 marks
Simplify sqrt(8) + sqrt(18), giving your answer in the form a sqrt(b).
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 9 cm and an area of 20.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.
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