Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st July 2019
- 1Bounds3 marks
x = 189 and y = 155, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Inverse and Composite Functions3 marks
f(x) = 6x + 7 and g(x) = 2x + 3. Work out fg(2).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 12 cm and an area of 42.00 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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