Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th October 2000
- 1Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 3) with x(0) = 3. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 64.
- 4The Cosine Rule3 marks
A triangle has sides 15 cm, 15 cm and 10 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
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