Higher Plus
19th February 1986
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
A rectangle is 24 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Quadratic Inequalities3 marks
Solve x^2 + 2x - 8 < 0.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out the positive value of x when y = 80.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
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Any date always gives the same five questions, so a sheet can be set again or shared. All of February 1986, including the monthly compilation PDF.