Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th April 1998
- 1Surds3 marks
Rationalise the denominator of 27/sqrt(3), 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 = 25. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 9 cm, 16 cm and 10 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
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