Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th October 2020
- 1Bounds3 marks
A block has mass 720 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Rearranging Harder Formulae3 marks
Make x the subject of 8x + 4 = y(x + 4).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of p and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 13 wins. How many games did they play?
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