Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd August 1998
- 1Bounds3 marks
A car covers 730 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 13, 31, 59, 97. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.
- 4The Cosine Rule3 marks
A triangle has sides 13 cm, 11 cm and 9 cm. Work out the angle opposite the 13 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 2/9. Work out n.
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