Higher Plus
25th July 1954
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 3.5. How many values in total?
- 2Bounds3 marks
x = 136 and y = 117, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 17, 33, 55. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 16 m/s over 4 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 4 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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