Formulas

Question 1

Area of a rectangle or square

Answer 1

A = L x B

Question 2

Area of a right angled triangle

Answer 2

A = 1/2 x B x H
(B x H / 2)

Question 3

Area of a rhombus

Answer 3

A = 1/2 (D x D)

Question 4

Area of a kite

Answer 4

A = 1/2 x diagonal x diagonal

Question 5

Area of a parallelogram

Answer 5

A = B x H

Question 6

Area of a trapezium

Answer 6

A = 1/2 x B x H

Question 7

Volume of a cylinder

Answer 7

V = pi r^2 x H
(Area of circle x height)

Question 8

Volume of a cuboid

Answer 8

V = (L x B) x H
(Area of top) x height

Question 9

Volume of a pyramid

Answer 9

V = (1/2 x B x H) x H
(Area of triangle) x height

Question 10

Volume of a hexagonal prism

Answer 10

V = Area of top x H
(Split into 6 triangles (or however many sides e.g. pentagonal = 5 triangles))

Question 11

Volume of a cone

Answer 11

V = 1/3 x pi r^2 x H

Question 12

Volume of a sphere

Answer 12

V = 4/3 x pi r^3

Question 13

Sin rule formula

Answer 13

a = b = c
SinA = SinB = SinC

Question 14

Cosine rule formula To FIND A SIDE

Answer 14

a^2 = b^2 + c^2 - 2bc cosA

Question 15

Cosine rule formula To FIND AN ANGLE

Answer 15

CosA = b^2 + c^2 -a^2
2bc

Question 16

How do we measure gradient?

Answer 16

Up or Down distance
Across distance

Question 17

Gradient formula

Answer 17

m = y2 - y1
x2 - x1

Question 18

Equation of a straight line

Answer 18

y = mx + C

Question 19

Volume of a prism

Answer 19

V = (Area of cross section) x H

Question 20

Volume of a polygon

Answer 20

V = (Area of e.g. hexagon) x H

Split hexagon into triangles
Area🔺= 1/2 ab sin(360 / no of triangles)

Question 21

Interquartile range formula

Answer 21

Interquartile range = Q3 - Q1

Question 22

Semi interquartile range formula

Answer 22

Semi interquartile range = Q3 - Q1
2

Question 23

Standard Deviation formula

Answer 23

Std Dev = √ ∑ ( x - x̄)^2
(n-1)

(SQUARE ROOT WHOLE FORMULA)

Question 24

Arc formula

Answer 24

Arc = angle at centre x pi x D
360

Question 25

Sector formula

Answer 25

Sector = angle at centre x pi r^2
360

Question 26

Difference of squares formula

Answer 26

a^2 - b^2 = (a-b) (a+b)

Question 27

Trinomials formula

Answer 27

ax^2 + bx + c