Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th October 2010
- 1Bounds3 marks
A block has mass 350 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Inverse and Composite Functions3 marks
f(x) = 8x + 7. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 10 cm, 8 cm and 12 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.
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