Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A rectangle is 27 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 0, 7, 16, 27. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides 3 cm, 13 cm and 14 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
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