Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.
- 2Inverse and Composite Functions3 marks
f(x) = 5x + 1 and g(x) = 3x + 9. Work out fg(-1).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 6.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of b and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 33 wins. How many games did they play?
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