GCSE Edexcel Maths Higher
' - ANS -Everything NOT in the set
\'exact value' meaning - ANS -surd form
\(a/m)^n - ANS -a^n/m^n
\(a^m)^n - ANS -a^mxn
\∈ - ANS -member of a set
\∉ - ANS -not a member of a set
\√a / √b - ANS -√a/b
\√a + √b - ANS -DO NOTHING
\√a x √b - ANS -√a x b
\∩ - ANS -intersect (all numbers that are members of exclusively both sets in question)
\∪ - ANS -union (combination of all members of each set in question)
\1 exterior angle - ANS -360/number of sides
\1m^2 = - ANS -100cm x 100cm
\2 consecutive even numbers - ANS -2n, 2n+2
\2 consecutive numbers - ANS -n, n+1
\2 consecutive odd numbers - ANS -2n+1, 2n+3
\2:3 = - ANS -2/3
\3D Pythagoras' theorem - ANS -a^2 + b^2 + c^2 = d^2
\4 ways to prove a triangle is congruent - ANS -SSS- 3 sides the same
ASS- 1 angle 2 sides
AAS- 2 angles 1 side
RHS- right angle, hypotenuse and a side
\5w + 3w - w - ANS -7w
\a + a + a - ANS -3a
\A car travels 60 miles in 3 hours. What is it's average speed? - ANS -S = D ÷ T
60 ÷ 3 = 20mph
\a x a - ANS -a²
\a x a x a - ANS -a³
\a/ √b - ANS -a/√b x √b/√b = a√b/b
\a^-m - ANS -1/a^m
\a^0 - ANS -1
\a^1 - ANS -a
\a^1/m - ANS -^m√a
\a^m / b^n - ANS -a/b^m-n
\a^m x b^n - ANS -ab^m+n
\a^m/n - ANS -(^n√a)^m
\alternate angles - ANS -equal
\Approximately how many kilometres are in 5 miles? - ANS -8
\area of a circle - ANS -
\area of a sector - ANS -angle/360 x area of full circle
, \Area of a triangle - ANS -1/2 x a x b x sinC
\area of trapezium - ANS -1/2(a+b) x height
\Bearings should usually have how many figures? - ANS -3.
If a bearing is less than 100°, it has a zero in front. e.g. 050°
\circle equation - ANS -x^2+y^2 = r^2
\circumference of a circle - ANS -π x d
\co-interior angles - ANS -add to 180
\common denominator is also.... - ANS -something both denominators divide into
\compound interest - ANS -amount x percentage^years
\corresponding angles - ANS -equal
\cos 0 - ANS -1
\cos 30 - ANS -√
\cos 45 - ANS -1 / √2
\cos 60 - ANS -0.5
\cos 90 - ANS -0
\Cosine rule - ANS -
\cubic graph - ANS -
\density - ANS -mass/volume
\distance - ANS -speed x time
\dividing fractions - ANS -KEEP TIMES SWITCH- KTS
\estimated gradient of a curve - ANS -tangent to curve (meets curve at point your trying to find)
then calculate gradient
\Expand and simplify 3(w + 2) + 5(w + 3) - ANS -3w + 6 + 5w + 15 = 8w + 21
\exponential graph - ANS -
\fibonacci sequence - ANS -adding together the 2 previous terms
\Find the nth term for 8, 11, 14, 17 ... - ANS -1. Find out what the size is increasing/decreasing
by. (in this case 3)
2. Write the times tables for that number below the sequence and also 3n
3. See what you would have to do to 3 times tables to get to the sequence... +5
4. Then the nth term is 3n + 5
\finding original value after percentage increase/ decrease - ANS -write the percentage
increased/ decreased as a percentage of the original value
divide the increased/ decreased value by this percentage to find 1%
times by 100 to find original value
\Give some examples of metric units for length. - ANS -metre, millimetre, kilometre, centimetre
\Give some examples of metric units for volume/capacity. - ANS -litre, centilitre, millilitre
\Give some examples of metric units for weight. - ANS -gram, kilogram, tonne
\gradient - ANS -vertical/horizontal or ycoord/xcoord
\How do you 'cube root' a number? e.g. ³√125 - ANS -Find what number multiplies by itself and
by itself again to give the number you are cube rooting.
e.g. ³√125 = 5
\How do you 'cube' a number? - ANS -Multiply it by itself and by itself again.
e.g. 2³ = 2 x 2 x 2 = 8
' - ANS -Everything NOT in the set
\'exact value' meaning - ANS -surd form
\(a/m)^n - ANS -a^n/m^n
\(a^m)^n - ANS -a^mxn
\∈ - ANS -member of a set
\∉ - ANS -not a member of a set
\√a / √b - ANS -√a/b
\√a + √b - ANS -DO NOTHING
\√a x √b - ANS -√a x b
\∩ - ANS -intersect (all numbers that are members of exclusively both sets in question)
\∪ - ANS -union (combination of all members of each set in question)
\1 exterior angle - ANS -360/number of sides
\1m^2 = - ANS -100cm x 100cm
\2 consecutive even numbers - ANS -2n, 2n+2
\2 consecutive numbers - ANS -n, n+1
\2 consecutive odd numbers - ANS -2n+1, 2n+3
\2:3 = - ANS -2/3
\3D Pythagoras' theorem - ANS -a^2 + b^2 + c^2 = d^2
\4 ways to prove a triangle is congruent - ANS -SSS- 3 sides the same
ASS- 1 angle 2 sides
AAS- 2 angles 1 side
RHS- right angle, hypotenuse and a side
\5w + 3w - w - ANS -7w
\a + a + a - ANS -3a
\A car travels 60 miles in 3 hours. What is it's average speed? - ANS -S = D ÷ T
60 ÷ 3 = 20mph
\a x a - ANS -a²
\a x a x a - ANS -a³
\a/ √b - ANS -a/√b x √b/√b = a√b/b
\a^-m - ANS -1/a^m
\a^0 - ANS -1
\a^1 - ANS -a
\a^1/m - ANS -^m√a
\a^m / b^n - ANS -a/b^m-n
\a^m x b^n - ANS -ab^m+n
\a^m/n - ANS -(^n√a)^m
\alternate angles - ANS -equal
\Approximately how many kilometres are in 5 miles? - ANS -8
\area of a circle - ANS -
\area of a sector - ANS -angle/360 x area of full circle
, \Area of a triangle - ANS -1/2 x a x b x sinC
\area of trapezium - ANS -1/2(a+b) x height
\Bearings should usually have how many figures? - ANS -3.
If a bearing is less than 100°, it has a zero in front. e.g. 050°
\circle equation - ANS -x^2+y^2 = r^2
\circumference of a circle - ANS -π x d
\co-interior angles - ANS -add to 180
\common denominator is also.... - ANS -something both denominators divide into
\compound interest - ANS -amount x percentage^years
\corresponding angles - ANS -equal
\cos 0 - ANS -1
\cos 30 - ANS -√
\cos 45 - ANS -1 / √2
\cos 60 - ANS -0.5
\cos 90 - ANS -0
\Cosine rule - ANS -
\cubic graph - ANS -
\density - ANS -mass/volume
\distance - ANS -speed x time
\dividing fractions - ANS -KEEP TIMES SWITCH- KTS
\estimated gradient of a curve - ANS -tangent to curve (meets curve at point your trying to find)
then calculate gradient
\Expand and simplify 3(w + 2) + 5(w + 3) - ANS -3w + 6 + 5w + 15 = 8w + 21
\exponential graph - ANS -
\fibonacci sequence - ANS -adding together the 2 previous terms
\Find the nth term for 8, 11, 14, 17 ... - ANS -1. Find out what the size is increasing/decreasing
by. (in this case 3)
2. Write the times tables for that number below the sequence and also 3n
3. See what you would have to do to 3 times tables to get to the sequence... +5
4. Then the nth term is 3n + 5
\finding original value after percentage increase/ decrease - ANS -write the percentage
increased/ decreased as a percentage of the original value
divide the increased/ decreased value by this percentage to find 1%
times by 100 to find original value
\Give some examples of metric units for length. - ANS -metre, millimetre, kilometre, centimetre
\Give some examples of metric units for volume/capacity. - ANS -litre, centilitre, millilitre
\Give some examples of metric units for weight. - ANS -gram, kilogram, tonne
\gradient - ANS -vertical/horizontal or ycoord/xcoord
\How do you 'cube root' a number? e.g. ³√125 - ANS -Find what number multiplies by itself and
by itself again to give the number you are cube rooting.
e.g. ³√125 = 5
\How do you 'cube' a number? - ANS -Multiply it by itself and by itself again.
e.g. 2³ = 2 x 2 x 2 = 8
