Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th April 2012
- 1Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
- 2Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 16.
- 4The Cosine Rule3 marks
A triangle has sides 9 cm, 8 cm and 12 cm. Work out the angle opposite the 9 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 5/12. Work out n.
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