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# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#10

Hits: 3   Question Figure 1 shows a sketch of the curve C with equation y = f(x) where f (x) = x2(9 –2x) There is a minimum at the origin, a maximum at the point (3, 27) and C cuts the x-axis at the point  A. a.   Write down the coordinates of the point A. b.   […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#9

Hits: 5   Question The line L1 has equation 4y + 3 = 2x. The point A (p, 4) lies on L1. a.   Find the value of the constant p. The line L2 passes through the point C (2, 4) and is perpendicular to L1. b.   Find an equation for L2 giving your answer in the form ax […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#8

Hits: 2   Question Where p and q are integers. a.   Find the value of p and the value of q. b.   Calculate the discriminant of  . c.  On the axes on page 17, sketch the curve with equation  showing clearly the  coordinates of any points where the curve crosses the coordinate axes. Solution a.   We have the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#7

Hits: 4 Question The point P(4,–1) lies on the curve C with equation y = f(x), x > 0, and a.   Find the equation of the tangent to C at the point P, giving your answer in the form y = mx + c,  where m and c are integers. b.   Find f(x). Solution a.   We are […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#6

Hits: 2   Question A boy saves some money over a period of 60 weeks. He saves 10p in week 1, 15p in week 2, 20p  in week 3 and so on until week 60. His weekly savings form an arithmetic sequence.  a.   Find how much he saves in week 15 b.   Calculate the total amount he […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#5

Hits: 2   Question A sequence of numbers  is defined by   , Where  is a constant. a)   Write down an expression, in terms of c, for . b)  Show that Given that c)   Find a range of values of c. Solution a)     We are given that sequence  is defined by We are required to find . We […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#4

Hits: 5 Question a.   Find , giving each term in its simplest form. b.   Find . Solution a.   We are given; We are required to find . Gradient (slope) of the curve is the derivative of equation of the curve. Hence gradient of curve  with respect to  is: Therefore; Rule for differentiation is of  is: Rule […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#3

Hits: 1 Question Show that  can be written in the form , where a and b are integers. Solution We are given; If we need a rational number in the denominator of a fraction, we need to follow procedure of  “denominator rationalization” as given below. ü If the denominator is of the form  then multiply both numerator and denominator […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#2

Hits: 2 Question a.   Evaluate , giving your answer as an integer. b.   Simplify fully . Solution a.   b.   Please follow and like us: 0

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#1

Hits: 5 Question Find Giving each term in its simplest form. Solution a.   We are required to find; Rule for integration of  is: Rule for integration of  is: Please follow and like us: 0