Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th January 2010
- 1Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
- 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 = 16, y = 20. Work out y when x = 25.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of p and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 42 wins. How many games did they play?
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