Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
- 2Rearranging Harder Formulae3 marks
Make x the subject of 6x + 8 = y(x + 8).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of q and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 14 wins. How many games did they play?
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