Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd November 2009
- 1Bounds3 marks
x = 36 and y = 26, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 4 in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides 7 cm, 6 cm and 8 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.
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