Higher Plus
13th March 1975
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Simplify sqrt(50) + sqrt(72), giving your answer in the form a sqrt(b).
- 3Inverse and Composite Functions3 marks
f(x) = 5x + 1 and g(x) = 3x + 1. Work out fg(4).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 2.5 m/s over 5 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
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