Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd November 2023
- 1Surds3 marks
Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
- 2Algebraic Fractions3 marks
Simplify (x^2 - 11x + 28)/(x - 4).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of c and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 14 wins. How many games did they play?
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