Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th October 1998
- 1Surds3 marks
Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.
- 2Factorising Harder Quadratics3 marks
Solve 4x^2 + 9x + 5 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 11 cm and an area of 57.16 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) = 15/28. Work out r.
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