Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th November 2011
- 1Bounds3 marks
A car covers 490 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Rearranging Harder Formulae3 marks
Make x the subject of 2x + 4 = y(x + 4).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 21 cm, 12 cm and 13 cm. Work out the angle opposite the 21 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/11. Work out n.
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