Higher Plus
17th July 1957
- 1The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -3, 5, 19, 39. Work out the second difference, and the coefficient of n^2.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 14 m/s over 5 seconds. Work out the acceleration.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + 3b and vector RS = 18a + 9b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 6 wins. How many games did they play?
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
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Any date always gives the same five questions, so a sheet can be set again or shared. All of July 1957, including the monthly compilation PDF.