Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th April 2005
- 1Bounds3 marks
A block has mass 430 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Transforming Graphs y=f(x)3 marks
The point (-2, -6) lies on y = f(x). Write down its image on y = -f(x).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of b and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 8 wins. How many games did they play?
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