Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th August 2016
- 1Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
- 2Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 6 cm and an area of 12.73 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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