Formula

Question 1

Area Scale Factor = x

Answer 1

Area Scale Factor = Length Scale Factor^2

Question 2

Volume Scale Factor = x

Answer 2

Volume Scale Factor = Length Scale Factor^3

Question 3

Sin x =

Answer 3

Sin x = opp / hyp

(SOH CAH TOA)

Question 4

Cos x =

Answer 4

Cos x = adj / hyp
(SOH CAH TOA)

Question 5

Tan x =

Answer 5

Tan x = opp / adj
(SOH CAH TOA)

Question 6

Sin (0) =

Answer 6

Sin (0) = 0

Question 7

Cos (0) =

Answer 7

Cos (0) = 1

Question 8

Tan (0) =

Answer 8

Tan (0) = 0

Question 9

Sin (30) =

Answer 9

Sin (30) = 1/2

Question 10

Cos (30) =

Answer 10

Cos (30) = √3 / 2

Question 11

Tan (30) =

Answer 11

Tan (30) = 1 / √3

Question 12

Sin (45)

Answer 12

Sin (45) = 1 /√2

Question 13

Cos (45)

Answer 13

Cos (45) = 1 / √2

Question 14

Tan (45)

Answer 14

Tan (45) = 1

Question 15

Sin (60)

Answer 15

Sin (60) = √3 / 2

Question 16

Cos (60)

Answer 16

Cos (60) = 1 / 2

Question 17

Tan (60)

Answer 17

Tan (60) = √3

Question 18

Sin (90)

Answer 18

Sin (90) = 1

Question 19

Cos (90)

Answer 19

Cos (90) = 0

Question 20

Tan (90)

Answer 20

Tan (90) = error

Question 21

Area of triangle

Answer 21

Area of triangle = 1/2 * base * height

Question 22

Area of triangle with sin

Answer 22

Area = 1/2 * ab * sin(C)

Question 23

Sine rule, length

Answer 23

a / sin A = b / sin B = c / sin C

Question 24

Sine rule, angle

Answer 24

sin A / a = sin B / a = sin C /c

Question 25

Cosine rule, length

Answer 25

a^2 = b^2 + c^2 - 2bc* cos A

Question 26

Cosine rule, angle

Answer 26

cos A=( b^2 + c^2 - a^2) / 2bc

Question 27

Bearings

Answer 27

1 must have 3 digits

Question 28

Circumference =

Answer 28

C = 𝜋 * diameter

Question 29

Area of the circle =

Answer 29

A = 𝜋 * radius^2

Question 30

Arc length of circle

Answer 30

Arc length = circumference * x / 360

Question 31

Area of the sector

Answer 31

Area of the sector = area * x / 360

Question 32

Circle theorem 1

Answer 32

1. The angle at the centre is twice the angle at the circumference. 2. The angle in a semicircle is a right angle.

Question 33

Circle theorem 2

Answer 33

1. Angles in the same segment are equal. 2. Opposite angles in a cyclic quadrilateral have a sum of 180°

Question 34

Volume of cylinder

Answer 34

V = 𝜋* r^2 * h

Question 35

Volume of cone

Answer 35

Volume of a cone = 1/3 *𝜋* r^2 * h

Question 36

Volume of sphere

Answer 36

V = 4/3 * 𝜋 * r^3

Question 37

Surface area of a cylinder

Answer 37

S = 2 * 𝜋 * r^2 + 𝜋 * d * h

Question 38

Curved surface area of a cone

Answer 38

Curved surface area of a cone = 𝜋𝑟𝑙

Question 39

Surface area of a sphere

Answer 39

S = 4 * 𝜋 * r^2