Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th September 2021
- 1Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.
- 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 : 2. Write vector OM in terms of m and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 7 wins. How many games did they play?
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