Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd September 2008
- 1Bounds3 marks
A block has mass 650 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Completing the Square3 marks
Write x^2 + 2x + 4 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 81.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of p and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 30 wins. How many games did they play?
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