Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th August 2020
- 1Surds3 marks
Rationalise the denominator of 12/sqrt(6), giving your answer in its simplest form.
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 11, 22, 39, 62, ...
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 25.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 6 cm and an area of 15.59 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
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