Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd June 1997
- 1Bounds3 marks
x = 62 and y = 14, 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 directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of a and c.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 16 wins. How many games did they play?
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