Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th September 2022
- 1Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
- 2Completing the Square3 marks
Write x^2 - 8x - 10 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of a and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 12 wins. How many games did they play?
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