The Student Room Group

GCSE Maths Equations

Recently, I have been revising all of the equations for my GCSE choices. In the past 4 days, I have memorised all of the equations for Physics, Chemistry, Business and Computing (trying to speedrun GCSE here). And now I have to do maths.... but I have a sneaking suspicion that 56 equations doesn't cover ALL of the equations at GCSE. I've attached a list below of what I know I need to learn so far, so if anyone who sees this post can point out any equations I have missed before I start revising them, I will be quite grateful .

==============================================
Equations to learn (56):
1) Percentage change= Change/Original x100
2Percentage of amount= Amount/total x100
3) Exterior angles= 360/sides
4) Interior + exterior=180 degrees
5) Interior angles= (n-2) x 180
6) Interior angles of a regular polygon= (n-2) x 180/sides
7) Compound interest= Initial x Multiplier^Time
8) Gradient= Rise/Run
9) Pythagoras Theorem= a^2+b^2=c^2
10) Equation of a circle= x^2+y^2=r^2
11) Frequency density= Frequency/Class width
12) Density= Mass/Volume
13) Pressure= Force/Area
14) Speed= Distance/Time
15) Area of a circle= Pi x r^2
16) Circumference= Pi x Diameter
17) Trigonometry (SOH CAH TOA)
18) Cosine Rule= a^2=b^2+c^2-2bc CosA
19) Sine Rule= a/Sin A = b/Sin B = c/Sin C
20) Quadratic formula= x= -b+root b^2-4ac/2a
21) Estimated mean= Frequency x Midpoint= fx/frequency
22) Area of a triangle = ½ x b x h
23) Area of a trapezium= ½ x(a+b)x h
24) Area of a square/rectangle= b x h
25) Area of a cone= Pi x r^2 + Pi x r x s
26) Area of a cylinder= 2 x Pi x r x h + 2 x Pi x r^2
27) Area of a parallelogram = b x h
28) Volume of a pyramid= 1/3 x area of base x h
29) Volume of a prism= Area of cross-section x length
30) Volume of a cube/cuboid= l x w x h
31) Volume of a cone= Pi x r^2 x h/3
32) Volume of a cylinder= Pi x r^2 x h
33) Volume of a sphere= 4/3 x Pi x r^3
34) Area of a sector= Theta/360 x Pi x r^2
35) Length of an arc= Theta/360 x Pi x Diameter
36) Stratified sampling= Frequency of a group/total frequency x sample size
37) Median from a histogram/frequency table= Lower limit + median-total frequency of previous
values/frequency of median class x class width of median class
38) Pie charts= Angle=frequency/ total x 360 degrees
39) Compound growth/decay= starting amount x (1 + or r/100) ^n years
40) Direct proportion= x to y^n, so x=ky^n
41) Inverse proportion= x to 1/y^n, so x=k/y^n
42) LCM= a x b/HCF
43) Diagonal across a cuboid= d^2=a^2+b^2+c^2
44) Radius= Diameter/2
45) Diameter= Radius x 2
46) Circumference= Pi x Diameter
47) Midpoint= (x1+x2/2, x1+y2/2)
48) Equation of a line= y=mx+c
49) Perpendicular gradients= -1/m
50) IQR= UQ-LQ
51) Range= Highest value- Lowest value
52) Median= Middle value
53) Mean= Sum of all numbers/Number of numbers
54) Mode= Most common value
55) Surface area of a sphere= 4x Pi x r^2
56) Curved surface area of a cone= Pi x r x l
==============================================
Reply 1
Original post by 3hunnabb
Recently, I have been revising all of the equations for my GCSE choices. In the past 4 days, I have memorised all of the equations for Physics, Chemistry, Business and Computing (trying to speedrun GCSE here). And now I have to do maths.... but I have a sneaking suspicion that 56 equations doesn't cover ALL of the equations at GCSE. I've attached a list below of what I know I need to learn so far, so if anyone who sees this post can point out any equations I have missed before I start revising them, I will be quite grateful .

==============================================
Equations to learn (56):
1) Percentage change= Change/Original x100
2Percentage of amount= Amount/total x100
3) Exterior angles= 360/sides
4) Interior + exterior=180 degrees
5) Interior angles= (n-2) x 180
6) Interior angles of a regular polygon= (n-2) x 180/sides
7) Compound interest= Initial x Multiplier^Time
8) Gradient= Rise/Run
9) Pythagoras Theorem= a^2+b^2=c^2
10) Equation of a circle= x^2+y^2=r^2
11) Frequency density= Frequency/Class width
12) Density= Mass/Volume
13) Pressure= Force/Area
14) Speed= Distance/Time
15) Area of a circle= Pi x r^2
16) Circumference= Pi x Diameter
17) Trigonometry (SOH CAH TOA)
18) Cosine Rule= a^2=b^2+c^2-2bc CosA
19) Sine Rule= a/Sin A = b/Sin B = c/Sin C
20) Quadratic formula= x= -b+root b^2-4ac/2a
21) Estimated mean= Frequency x Midpoint= fx/frequency
22) Area of a triangle = ½ x b x h
23) Area of a trapezium= ½ x(a+b)x h
24) Area of a square/rectangle= b x h
25) Area of a cone= Pi x r^2 + Pi x r x s
26) Area of a cylinder= 2 x Pi x r x h + 2 x Pi x r^2
27) Area of a parallelogram = b x h
28) Volume of a pyramid= 1/3 x area of base x h
29) Volume of a prism= Area of cross-section x length
30) Volume of a cube/cuboid= l x w x h
31) Volume of a cone= Pi x r^2 x h/3
32) Volume of a cylinder= Pi x r^2 x h
33) Volume of a sphere= 4/3 x Pi x r^3
34) Area of a sector= Theta/360 x Pi x r^2
35) Length of an arc= Theta/360 x Pi x Diameter
36) Stratified sampling= Frequency of a group/total frequency x sample size
37) Median from a histogram/frequency table= Lower limit + median-total frequency of previous
values/frequency of median class x class width of median class
38) Pie charts= Angle=frequency/ total x 360 degrees
39) Compound growth/decay= starting amount x (1 + or r/100) ^n years
40) Direct proportion= x to y^n, so x=ky^n
41) Inverse proportion= x to 1/y^n, so x=k/y^n
42) LCM= a x b/HCF
43) Diagonal across a cuboid= d^2=a^2+b^2+c^2
44) Radius= Diameter/2
45) Diameter= Radius x 2
46) Circumference= Pi x Diameter
47) Midpoint= (x1+x2/2, x1+y2/2)
48) Equation of a line= y=mx+c
49) Perpendicular gradients= -1/m
50) IQR= UQ-LQ
51) Range= Highest value- Lowest value
52) Median= Middle value
53) Mean= Sum of all numbers/Number of numbers
54) Mode= Most common value
55) Surface area of a sphere= 4x Pi x r^2
56) Curved surface area of a cone= Pi x r x l
==============================================

Check your specification online. It should tell you all the equations,

Quick Reply

Latest