Daily Practice
Higher Plus
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27th December 1967
- 1Bounds3 marks
A rectangle is 7 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Algebraic Fractions3 marks
Simplify (x^2 + 14x + 48)/(x + 8).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 49.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of m and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 40 wins. How many games did they play?
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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1967, including the monthly compilation PDF.