Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th April 2018
- 1Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
- 2Factorising Harder Quadratics3 marks
Solve 8x^2 + 10x + 3 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 9.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 11 cm and an area of 46.67 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) = 3/10. Work out r.
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