Higher Plus
5th January 1961
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 4 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 3. How many values in total?
- 4Surds3 marks
Simplify sqrt(80) + sqrt(80), giving your answer in the form a sqrt(b).
- 5Transforming Graphs y=f(x)3 marks
The point (-4, 4) lies on y = f(x). Write down its image on y = f(x - 4).
You are looking at an earlier sheet. Today's sheet is the one that adds a day.
Your run is kept in this browser only, and there is no account.
Recent Higher Plus sheets
Any date always gives the same five questions, so a sheet can be set again or shared. All of January 1961, including the monthly compilation PDF.