Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th April 2006
- 1Bounds3 marks
x = 116 and y = 98, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Inverse and Composite Functions3 marks
f(x) = 5x + 8. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 27. Work out y when x = 3.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 6 cm and an area of 16.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/36. Work out r.
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