Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th August 2002
- 1Bounds3 marks
x = 94 and y = 74, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Rearranging Harder Formulae3 marks
Make x the subject of 8x + 5 = y(x + 5).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. N is the midpoint. Write vector ON in terms of p and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 21 wins. How many games did they play?
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