Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th September 2000
- 1Bounds3 marks
A block has mass 750 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of m and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 18 wins. How many games did they play?
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