Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 151 and y = 131, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Rearranging Harder Formulae3 marks
Make x the subject of 2x + 6 = y(x + 6).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
- 4The Cosine Rule3 marks
A triangle has sides of 7 cm and 14 cm with an angle of 79° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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