Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 68 and y = 57, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Completing the Square3 marks
Write x^2 - 16x + 1 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of m and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 8 wins. How many games did they play?
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