Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd February 2018
- 1Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 7) with x(0) = 1. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of p and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 80 wins. How many games did they play?
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