Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
- 2Completing the Square3 marks
Write x^2 + 4x + 1 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of c and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 11 wins. How many games did they play?
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