Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st June 2019
- 1Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 12 cm and an area of 30.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
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