Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th August 2011
- 1Bounds3 marks
A block has mass 360 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Algebraic Fractions3 marks
Write 3/(x + 3) + 3/(x - 5) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of c and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 75 wins. How many games did they play?
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