Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th April 2008
- 1Surds3 marks
Rationalise the denominator of 36/sqrt(6), giving your answer in its simplest form.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 1) with x(0) = 2. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of c and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 9 wins. How many games did they play?
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