Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th October 2017
- 1Surds3 marks
Simplify sqrt(18) + sqrt(2), giving your answer in the form a sqrt(b).
- 2Factorising Harder Quadratics3 marks
Solve 10x^2 + 27x + 18 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of c and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 18 wins. How many games did they play?
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