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Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#10

Hits: 22   Question a.   Find the values of the constants a and b. b.   In the space provided below, sketch the graph of , indicating clearly the coordinates of any intersections with the coordinate axes. c.   Find the value of the discriminant of . Explain how the sign of the discriminant relates  to your sketch in […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#8

Hits: 13   Question The curve with equation y=f (x) passes through the point (1,6). Given that , , find f(x) and simplify your answer. Solution We are required to find f(x), when; We are also given that , and the curve passes through the point (1,6). Clearly it is the case of finding equation from its derivative. We can find […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#7

Hits: 5   Question On Alice’s 11th birthday she started to receive an annual allowance. The first annual allowance was  £500 and on each following birthday the allowance was increased by £200. a.   Show that, immediately after her 12th birthday, the total of the allowances that Alice had received  was £1200. b.   Find the amount of Alice’s annual allowance […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#6

Hits: 4   Question Figure 1 shows a sketch of the curve with equation y=f(x). The curve passes through the points  (0,3) and (4,0) and touches the x-axis at point (1,0). On separate diagrams sketch the curve with equation a.   y=f(x+1), b.   y=2f(x), c.   On each diagram show clearly the coordinates of all the points where the curve […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#4

Hits: 5   Question Solve the simultaneous equations Solution We are given simultaneous equations; Rearranging the first equation we get expression for ; Substituting this for  in the second equation; We have the algebraic formula; Therefore; Now we have two options. By substituting one-by-one these values of  in above derived expression of , we can find  corresponding values of . For For […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#3

Hits: 4   Question Given that the equation , where k is a positive constant, has equal roots, find the value of k. Solution We are given; We can given that given equation has equal roots. For a quadratic equation , the expression for solution is; Where  is called discriminant. If , the equation will have two distinct […]