Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th December 1997
- 1Surds3 marks
Simplify sqrt(72) + sqrt(18), giving your answer in the form a sqrt(b).
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 7) with x(0) = 5. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides 9 cm, 9 cm and 11 cm. Work out the angle opposite the 9 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 3/7. Work out n.
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