Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd October 2013
- 1Bounds3 marks
A rectangle is 22 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Completing the Square3 marks
Write x^2 + 6x - 15 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 9. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides 16 cm, 7 cm and 14 cm. Work out the angle opposite the 16 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 1/2. Work out n.
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