Higher Plus
31st January 1967
- 1Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 14, 25, 38. Work out the second difference, and the coefficient of n^2.
- 3Velocity Time Graphs2 marks
A train slows steadily from 34 m/s to rest in 8 seconds. Work out its deceleration.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of c and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 12 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 January 1967, including the monthly compilation PDF.