Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th February 2016
- 1Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.
- 4The Cosine Rule3 marks
A triangle has sides 18 cm, 16 cm and 14 cm. Work out the angle opposite the 18 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.
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