Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st April 2007
- 1Bounds3 marks
x = 140 and y = 121, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of m and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 98 wins. How many games did they play?
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