Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th November 2017
- 1Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 1, 3, 9, 19. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 14 cm and an area of 96.99 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) = 3/28. Work out r.
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