Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Rationalise the denominator of 45/sqrt(5), giving your answer in its simplest form.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x + 1 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of b and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 24 wins. How many games did they play?
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