Higher Plus
28th October 1977
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
- 3Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 27 m/s over 10 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.
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