Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th January 2006
- 1Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
- 2Algebraic Fractions3 marks
Write 6/(x - 4) + 6/(x + 3) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of m and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 45 wins. How many games did they play?
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