Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Simplify sqrt(80) + sqrt(125), giving your answer in the form a sqrt(b).
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of b and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 24 wins. How many games did they play?
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