Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th July 2015
- 1Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x + 17 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides 22 cm, 10 cm and 15 cm. Work out the angle opposite the 22 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 5/8. Work out n.
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