Higher Plus
16th December 1962
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
x = 129 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Quadratic Inequalities3 marks
Solve x^2 + 13x + 40 > 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 13 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1962, including the monthly compilation PDF.