Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th April 2004
- 1Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
- 2Algebraic Fractions3 marks
Simplify (x^2 + 15x + 56)/(x + 8).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = b. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of m and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 45 wins. How many games did they play?
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