Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th December 2013
- 1Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
- 2Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
- 4The Cosine Rule3 marks
A triangle has sides of 12 cm and 15 cm with an angle of 43° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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