Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th July 2015
- 1Bounds3 marks
x = 177 and y = 10, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Factorising Harder Quadratics3 marks
Solve 15x^2 - 14x - 8 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 7 cm and an area of 30.31 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
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