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## C2: Starters

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**C2: Starters**1 2 3 4 5 6 7 8 9 Revise formulae and develop problem solving skills. 10 11 12 13 14 15 16 17 18 20 21 25 19 22 23 24 26 DMO’L.St Thomas More**Starter 1**A circle has diameter with end points at (-4,-1) and (0,1). Find the equation of the circle. DMO’L.St Thomas More**Starter 1**A circle has diameter with end points at (-4,-1) and (0,1). Centre = (-4+0 , -1+1) 2 2 = (-2 , 0) DMO’L.St Thomas More**Starter 1**A circle has diameter with end points at (-4,-1) and (0,1). Centre = (-4+0 , -1+1) 2 2 = (-2 , 0) Radius = = DMO’L.St Thomas More**Starter 1**A circle has diameter with end points at (-4,-1) and (0,1). Centre = (-4+0 , -1+1) 2 2 = (-2 , 0) Radius = = Equation of circle: (x+2)2 + y2 = 5 Back DMO’L.St Thomas More**Starter 2**Find the mediator of these the points A(2,6) and B(8,0) DMO’L.St Thomas More**Starter 2**Find the mediator of these the points A(2,6) and B(8,0) Midpoint of AB = (5,3) DMO’L.St Thomas More**Starter 2**Equation of Mediator is y – 3 = 1(x – 5) x – y -2 = 0 Find the mediator of these the points A(2,6) and B(8,0) Midpoint of AB = (5,3) Gradient of AB = -6/6 = -1 Back DMO’L.St Thomas More**Starter 3**Divide 6x3+27x2+14x+8 by x+4 DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**DMO’L.St Thomas More**To divide 6x3+27x2+14x+8 by x+4**Back DMO’L.St Thomas More**Starter 3**Divide 2x3+4x2-9x-9 by x+3 DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**DMO’L.St Thomas More**To divide 2x3+4x2-9x-9 by x+3**Back DMO’L.St Thomas More**C2: Starter 5**Simplify each of the following: Back DMO’L.St Thomas More**C2: Starter 6**Express each of the following in terms of p,q and/or r Back DMO’L.St Thomas More**C2: Starter 7**Solve the equations Back DMO’L.St Thomas More**C2: Starter 8**Solve the equations Back DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) Draw diagram And then find the mediators DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) Mediator of AB DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) Mediator of AB y = 3 DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) Mediator of BC Mid pt of BC = (2,6) Grad BC = 1/3 Grad = -3 DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) Mediator of BC Mid pt of BC = (2,6) Grad BC = 1/3 Grad = -3 y- 6 = -3(x – 2) DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) Mediator of BC Mid pt of BC = (2,6) Grad BC = 1/3 Grad = -3 Y = -3x +12 DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) Find centre using mediators y = 3 y = -3x + 12 DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) Find centre using mediators y = 3 y = -3x + 12 Centre = (3,3) DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) Find centre using mediators y = 3 y = -3x + 12 Centre = (3,3) R2 = 42 + 22 = 20 DMO’L.St Thomas More**C2: Starter 9**Find the equation of the circle passing through the points A(-1,1), B(-1,5), C(5,7) Equation of circle is (x-3)2+(y-3)2 = 20 Back DMO’L.St Thomas More**C2: Starter 10**• Find the sum to 10 terms of • 2 + 10 + 50 + 250 + … • 100 + 50 + 25 + 12.5 + … • Find the sum to infinity of • 4 + 2 + 1 + ½ DMO’L.St Thomas More