Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th April 2013
- 1Bounds3 marks
A block has mass 450 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 25.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. X is the midpoint. Write vector OX in terms of b and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 6 wins. How many games did they play?
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