Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st November 2008
- 1Surds3 marks
Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 18, 35, 58, ...
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of b and c.
- 5Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 10 wins. How many games did they play?
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