Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 16.
- 4The Cosine Rule3 marks
A triangle has sides 14 cm, 10 cm and 9 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 1/2. Work out n.
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