Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A rectangle is 30 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 8) with x(0) = 1. 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 = 54. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 14 cm, 9 cm and 8 cm. Work out the angle opposite the 14 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 7/9. Work out n.
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