Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th November 2019
- 1Bounds3 marks
x = 94 and y = 62, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Completing the Square3 marks
Write x^2 - 8x - 7 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 81.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of c and b.
- 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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