Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th April 2011
- 1Bounds3 marks
A car covers 320 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 4 in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides 11 cm, 13 cm and 7 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/11. Work out n.
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