Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd January 2003
- 1Bounds3 marks
A rectangle is 23 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of p and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 30 wins. How many games did they play?
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