Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
- 2Algebraic Fractions3 marks
Write 5/(x - 3) + 7/(x + 2) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of a and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 4 wins. How many games did they play?
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