GCSE EDEXCEL MATHS HIGHER
QUESTIONS AND ANSWERS WELL
1. area of a circle:
2. surface area of a sphere:
3. surface area of a cone: rÀx slanted length x rÀ^2
4. volume of cone:
5. volume of a sphere:
6. area of trapezium: 1/2(a+b) x height
7. circumference of a circle: Àx d
8. volume of a cuboid: l x w x h
9. volume of a cylinder:
10. volume of a pyramid: 1/3 x area of base x h
11. distance: speed x time
12. density: mass/volume
13. pressure: force/area
14. Pythagoras' Theorem: a^2 + b^2 = c^2
15. Quadratic equation: when ax^2 + bx + c = 0
16. Sine rule: a/sinA = b/sinB = c/sinC
, GCSE EDEXCEL MATHS HIGHER
QUESTIONS AND ANSWERS WELL
Cosine rule:
17.
18. Area of a triangle: 1/2 x a x b x sinC
, GCSE EDEXCEL MATHS HIGHER
QUESTIONS AND ANSWERS WELL
19. area of a sector: angle/360 x area of full circle
20. segment area: sector area - area of triangle
21. x angles: equal
22. corresponding angles: equal
23. alternate angles: equal
24. co-interior angles: add to 180
25. total of exterior angles: 360
26. 1 exterior angle: 360/number of sides
27. sum of interior angles: (sides - 2) x 180
28. sin/cos/tan 45, lengths=:
29. sin/cos/tan 30 or 60, lengths=:
, GCSE EDEXCEL MATHS HIGHER
QUESTIONS AND ANSWERS WELL
30. a^m x b^n: ab^m+n
31. a^m / b^n: a/b^m-n
32. a^0: 1
33. a^1: a
34. (a^m)^n: a^mxn
35. (a/m)^n: a^n/m^n
36. a^-m: 1/a^m
37. a^1/m: ^m a
38. a^m/n: (^n a)^m
39. 3D Pythagoras' theorem: a^2 + b^2 + c^2 = d^2
40. when to use cosine rule: 2 sides and an angle enclosed by them
all 3 sides no angle
41. when to use sine rule: 2 angles any side
2 sides and an angle thats not enclosed by them
42. inverse functions: replace x's with y's and make everything equal to x
make y the subject
replace the y with f^-1(x)
43. y=f(x)+a: translation in the y-axis (move up or down by the amount of a eg. +2
= move up 2)
44. y=f(x+a): translation in the x-axis (but if it says +2 move down 2 ITS OPPO-
SITE!!)
45. y=f(xa): stretch in the x direction (leaving the y values unchanged) by a factor
of 1/a
46. y=f(x/a): stretch in the x direction (leaving the y values unchanged) by a factor
of a
47. y=-f(x): reflection in the x-axis
48. y=f(-x): reflection in the y-axis
49. : not a member of a set
50. : member of a set
51. :¾universal set (all the numbers in the Q)
52. :* union (combination of all members of each set in question)
53. ): intersect (all numbers that are members of exclusively both sets in question)
54. ': Everything NOT in the set
55. a x b: a x b
56. a / b: a/b
57. a + b: DO NOTHING
QUESTIONS AND ANSWERS WELL
1. area of a circle:
2. surface area of a sphere:
3. surface area of a cone: rÀx slanted length x rÀ^2
4. volume of cone:
5. volume of a sphere:
6. area of trapezium: 1/2(a+b) x height
7. circumference of a circle: Àx d
8. volume of a cuboid: l x w x h
9. volume of a cylinder:
10. volume of a pyramid: 1/3 x area of base x h
11. distance: speed x time
12. density: mass/volume
13. pressure: force/area
14. Pythagoras' Theorem: a^2 + b^2 = c^2
15. Quadratic equation: when ax^2 + bx + c = 0
16. Sine rule: a/sinA = b/sinB = c/sinC
, GCSE EDEXCEL MATHS HIGHER
QUESTIONS AND ANSWERS WELL
Cosine rule:
17.
18. Area of a triangle: 1/2 x a x b x sinC
, GCSE EDEXCEL MATHS HIGHER
QUESTIONS AND ANSWERS WELL
19. area of a sector: angle/360 x area of full circle
20. segment area: sector area - area of triangle
21. x angles: equal
22. corresponding angles: equal
23. alternate angles: equal
24. co-interior angles: add to 180
25. total of exterior angles: 360
26. 1 exterior angle: 360/number of sides
27. sum of interior angles: (sides - 2) x 180
28. sin/cos/tan 45, lengths=:
29. sin/cos/tan 30 or 60, lengths=:
, GCSE EDEXCEL MATHS HIGHER
QUESTIONS AND ANSWERS WELL
30. a^m x b^n: ab^m+n
31. a^m / b^n: a/b^m-n
32. a^0: 1
33. a^1: a
34. (a^m)^n: a^mxn
35. (a/m)^n: a^n/m^n
36. a^-m: 1/a^m
37. a^1/m: ^m a
38. a^m/n: (^n a)^m
39. 3D Pythagoras' theorem: a^2 + b^2 + c^2 = d^2
40. when to use cosine rule: 2 sides and an angle enclosed by them
all 3 sides no angle
41. when to use sine rule: 2 angles any side
2 sides and an angle thats not enclosed by them
42. inverse functions: replace x's with y's and make everything equal to x
make y the subject
replace the y with f^-1(x)
43. y=f(x)+a: translation in the y-axis (move up or down by the amount of a eg. +2
= move up 2)
44. y=f(x+a): translation in the x-axis (but if it says +2 move down 2 ITS OPPO-
SITE!!)
45. y=f(xa): stretch in the x direction (leaving the y values unchanged) by a factor
of 1/a
46. y=f(x/a): stretch in the x direction (leaving the y values unchanged) by a factor
of a
47. y=-f(x): reflection in the x-axis
48. y=f(-x): reflection in the y-axis
49. : not a member of a set
50. : member of a set
51. :¾universal set (all the numbers in the Q)
52. :* union (combination of all members of each set in question)
53. ): intersect (all numbers that are members of exclusively both sets in question)
54. ': Everything NOT in the set
55. a x b: a x b
56. a / b: a/b
57. a + b: DO NOTHING
