Daily Practice - Higher Plus
14th April 1993
- 1Bounds3 marks
A rectangle is 17 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 9. Work out y when x = 25.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of p and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 30 wins. How many games did they play?
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