Higher Plus
1st March 1984
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 3. How many values in total?
- 2Surds3 marks
Simplify sqrt(80) + sqrt(245), giving your answer in the form a sqrt(b).
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 0, 7, 16, 27. Work out the second difference, and the coefficient of n^2.
- 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 = 32.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. 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 March 1984, including the monthly compilation PDF.