Higher Plus
12th December 1957
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Simplify sqrt(32) + sqrt(50), giving your answer in the form a sqrt(b).
- 3Completing the Square3 marks
Write x^2 + 10x - 9 in the form (x + a)^2 + b.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 50. Work out the positive value of x when y = 162.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. 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 1957, including the monthly compilation PDF.