Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th June 2008
- 1Bounds3 marks
A block has mass 460 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.
- 2Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 4 cm, 6 cm and 7 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
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