Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd March 2002
- 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 directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 16.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 11 cm and an area of 38.89 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
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