Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th December 2017
- 1Bounds3 marks
A block has mass 400 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Quadratic Inequalities3 marks
Solve x^2 + 5x + 6 > 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 15. Work out y when x = 9.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of m and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 14 wins. How many games did they play?
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