Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th January 2001
- 1Surds3 marks
Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 9, 21, 41, 69, ...
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 11 cm and an area of 50.56 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) = 1/21. Work out r.
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