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Jade Potter-Goddard Maths GCSE Inglés 71 fichas

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  1. 1What steps should you first take in order to rearrange an equation? (3)1. Get rid of any square root signs.
    2. Get rid of any fractions.
    3. Multiply out the brackets.
  2. 2What should you do if the subject appears twice when rearranging?Factorize out the subject at some point.
  3. 3What should you do if you need to solve an equation with brackets or fractions in??Expand the brackets first and get rid of the fraction(s) first.
  4. 4What must you include in front of a square root sign if you're solving a quadratic?A plus minus sign.
  5. 5How do you solve a quadratic equation by factorizing? (2)1. Factorize the equation into two brackets.
    2. Set each bracket to 0 and solve to find x.
  6. 6What form do quadratic equations usually take?ax² + bx + c = 0
  7. 7What is the quadratic formula?x = -b² + - SqRt(b²-4ac)
    --------------------------------------------
    2a
  8. 8What's another way of asking you to complete the square?Putting it into vertex form.
  9. 9What is vertex form?(x+a)² - b
  10. 10What formula do you use in order to get a quadratic equation into vertex form?(x+b/2)² - (b/2)²
  11. 11Example of this using x²+10x+10.(x+5)²-25+10
    = (x+5)²-15
  12. 12How would you then put this into a minimum value coordinate for the parabola?Use the a value for x and the b value for y.
  13. 13What form can quadratic equations with square coefficients be written as?(px+q)²+r
  14. 14What formula do you use to complete the square for equation with square coefficients?p²x² + 2pqx + q²
  15. 15What are the steps for completing the square with equations with square coefficients? (3)1. Solve to find p.
    2. Solve to find q using p.
    3. Square q and then work out the difference between the original last number and the square to form the r part of the equation.
  16. 16How do you solve a quadratic equation by solving the square on equations with a non-square coefficient? (4)1. Factorize out the coefficient.
    2. Form a double bracket by completing the square on the already bracketed part of the equation.
    3. Expand (Remembering everything!)
    4. Add the original ending and simplify.
  17. 17How to find the nth term of a linear sequence? (3)1. Find a difference between the numbers. This is your n value.
    2. Make n=1 and see how many you need to add/take away in order to get to the first number in the sequence.
    3. Put the two parts together.
  18. 18How to work out the nth term of a quadratic sequence? (3)1. Work out the difference of differences.
    2. Divide this value by two to give the coefficient of n².
    3. Take away the numbers in the n² sequence from the original terms to form a linear sequence and then find out the nth term of the linear sequence and add it to the squared n.
  19. 19How do you work out if a number is in a sequence? (2)1. Set the sequence to that number and solve.
    2. If it's not a whole number then it's not part of the sequence.
  20. 20How do you find the value of two consecutive terms in a sequence? (5)1. Call the two terms n and n+1. E.g. If the sequence is 4n-5...make it 4n-5 and 4(n+1)-5.
    2. Expand all simplify.
    3. Set this to the number sum given to you.
    4. Solve to get the first consecutive number.
    5. Use this answer and the number following and insert it in the sequence to get the consecutive numbers needed.
  21. 21How to manipulate (a+SqRtb)²?(a+SqRtb)(a+SqRtb) = a² + 2aSqRtb + b
  22. 22How to manipulate (a + SqRtb)(a - SqRtb)?a² + aSqRtb - aSqRtb - (SqRtb)² = a² - b
  23. 23How to rationalize the denominator of a surd?1. Times the surd by denominator of it.
  24. 24What is the rule for bounds?Add or take away half the amount of the unit it's given to.
  25. 25What do angles in a quadrilateral add up to?360 degrees.
  26. 26Describe alternate angles? (2)The 'Z' shape and are both equal.
  27. 27Describe allied angles? (2)They make a 'C' or 'U' shape and add to 180 degrees.
  28. 28Describe corresponding angles? (2)Make an 'F' shape and are equal.
  29. 29What is the sum of all the exterior angles for any polygon?360 degrees.
  30. 30What is the formula for the sum of interior angles for any polygon?(n-2) x 180 degrees.
  31. 31What is the formula for working out an exterior angle on a regular polygon.360 degrees
    -----------------------
    n
  32. 32What is the formula for working out the value of an interior angle in a regular polygon?180 degrees - Exterior Angle.
  33. 33How do you work out how many sides a shape has when given the value of an interior angle? (2)1. Work out the exterior angle.
    2. Rearrange the formula for an exterior angle in order to work out the number of sides.
  34. 34Formula for volume of cylinder?¤r²h
  35. 35Formula for curved surface area of cylinder?2¤rh
  36. 36What is the formula for a prism?Area of cross section x length.
  37. 37Formula for area of a trapezium?½(a+b)h
  38. 38Volume of a cone?(4/3)¤r²h
  39. 39Curved surface area of a cone?¤rl
  40. 40What is the format of the equation of a line?y = mx + c
  41. 41Formula for working out the midpoint?(x1 + x2) y1 + y2
    -------------- & ------------
    2 2
  42. 42Formula for gradient?y1 - y2
    ----------------------
    x1 - x2
  43. 43Formula for length of line segment?SqRt((x1 - x2)² + (y1 - y2)²)
  44. 44How do you find out a point of a line given a midpoint and one set of coordinates?Sub the coordinate you're given and the midpoint into the equations and solve for the other.
  45. 45How do you plot a linear graph? (2)1. Sub x=0 and y=0 into the equation individually.
    2. Use the answer to form the other part of the coordinate.
  46. 46How do you find the equation of a line? (2)1. Calculate the gradient.
    2. Sub the gradient and one set of coordinates in y=mx+c to solve for c.
  47. 47What must parallel lines have?Must have the same gradient.
  48. 48How do you work out the equation of a line parallel to one given? (2)1. Sub the gradient into the typical line equation.
    2. Sub the x and y values into the equation and solve for c.
  49. 49How do you calculate the equation of a line perpendicular to a line already given? (3)1. Find the negative reciprocal of the gradient given.
    2. Sub it into the y=mx+c equation with the x and y values given.
    3. Solve to find c.
  50. 50How to calculate approximations? (4)1. Draw one line on the graph.
    2. Work out how to make the second equation look like the first.
    3. Use the number after the = sign to draw a y line.
    4. Read the two points that the curve crosses the new y-line and use these as your two answers.
  51. 51How to prove that a triangle is right angled?By proving that a² + b² = c².
  52. 52How do you use SOH CAH TOA to find a side length? (3)1. See which sides you have. (This will be the side you need and the side you've already been given.)
    2. See which part is needed and what needs to be done.
    3. Use the angle and side in the necessary calculation.
  53. 53How do you use SOH CAH TOA to find a missing angle? (2)1. See which sides you're given to decide which part to use.
    2. Use these in the correct calculation but REMEBER TO USE THR INVERSE!
  54. 54How to use Pythagoras' Theorem in order to find the side that isn't H?The square root of the sides both squared taken away from each other.
  55. 55What are the exact values for 30 degrees?Sin - ½
    Cos - SqRt(3)/2
    Tan - SqRT(3)/3
  56. 56What are the exact values of 45 degrees?Sin - SqRt(2)/2
    Cos - SqRt(2)/2
    Tan - 1
  57. 57What are the exact values of 60 degrees?Sin - SqRt(3)/2
    Cos - ½
    Tan - SqRt3
  58. 58What are the exact values of 90 degrees?Sin - 1
    Cos - 0
    Tan - Undefined
  59. 59How do you solve simultaneous equations? (3)1. Make sure that at least one of the subjects are equal.
    2. If not make them equal, if they are take one away from each other/add one.
    3. Use the value you just found to sub into one of the equations in order to find the other value.
  60. 60What do you include when describing a translation?The vector it moves by.
  61. 61What do you include when you describe rotations? (3)- Angle of rotation.
    - Direction of rotation. (Clockwise or anticlockwise.)
    - Centre of rotation.
  62. 62What do you include when describing reflections?Give the equation of the line it's being reflected in.
  63. 63What do you include when describing enlargements? (2)- The scale factor.
    - The centre of enlargement.
  64. 64How do you calculate scale factor?New length divided by old length.
  65. 65How to work out how many thongs there are according to a ratio? (3)1. Let each thing be a letter and write it as an equation.
    2. Put these into fractions.
    3. Multiply diagonally to get rid of fractions and turn it into simultaneous equations and solve for the letter you want.
  66. 66What is the key rule for direct proportion?Divide for one and then multiply for all.
  67. 67What is the key rule for inverse proportion?Times for one and then divide for all.
  68. 68How do you find the percentage of an amount? (2)1. Turn the percentage into a decimal.
    2. Times the decimal by the amount your finding the percentage of.
  69. 69How do you express an amount as a percentage of another amount? E.g. What percentage of sweets are blue? (3)1. Take the number of blue sweets.
    2. Divide it by the total number of sweets.
    3. Time it by 100.
  70. 70What is the formula for calculating the percentage change?The Change divided by The Original x 100
  71. 71How to find the original price of an item etc.?1. Write the new value as that percentage of the amount. E.g. $200=110%
    2. Divide by the percentage to get what 1% is worth.
    3. Times it by 100 to get the full price again.

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  • Creado por maya velasquez · 8 abr 2016
  • Copiado por Andrea Leyden · 8 abr 2016
  • Copiado por Jade Potter-Goddard · 8 abr 2016
  • Copiado por Jade Potter-Goddard · 8 abr 2016
  • Copiado por Jade Potter-Goddard · 8 abr 2016
  • Copiado por Jade Potter-Goddard · 8 abr 2016
  • Copiado por Jade Potter-Goddard · 8 abr 2016
  • Copiado por Jade Potter-Goddard · 8 abr 2016
  • Copiado por Jade Potter-Goddard · 8 abr 2016
  • Copiado por Jade Potter-Goddard · 8 abr 2016
  • Copiado por Jade Potter-Goddard · 8 abr 2016
  • Copiado por Jade Potter-Goddard · 8 abr 2016
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