Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 129 and y = 38, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Completing the Square3 marks
Write x^2 + 12x + 9 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
- 4The Cosine Rule3 marks
A triangle has sides 14 cm, 7 cm and 13 cm. Work out the angle opposite the 14 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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