Higher Plus
12th February 1969
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 0.6. How many values in total?
- 2Bounds3 marks
A rectangle is 11 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Completing the Square3 marks
Write x^2 - 4x + 8 in the form (x + a)^2 + b.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 320.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (12, 16) lies on the circle x^2 + y^2 = 400. 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 February 1969, including the monthly compilation PDF.