Geometry

Question 1

Pythagoras theorem (dont need to learn)

Answer 1

A(sq) + b(sq) = c(sq)

Question 2

Bearing rules

Answer 2

1) find the word from in the question, and put your pencil on the diagram at the point you are going ‘from’
2) at the point you are going from, draw a northline
3) now draw in the angle clockwise from the northline to the line joining the two points, this angle is the required bearing

Question 3

SohCahToa

Answer 3

Sine (opp, hyp) , cos (adj, hyp) , tan (opp, adj)

Question 4

Cosine rule (dont need to learn)

Answer 4

a(sq) = b(sq) + c(sq) - 2bc cosA

Question 5

Cosine rule for angle

Answer 5

CosA = b(sq) + c(sq) - a(sq) /2bc

Question 6

Sine rule (dont need to learn)

Answer 6

a/sinA = b/sinB = c/sinC

Question 7

3D pythagoras

Answer 7

In a cuboid/cube/pyramid

1) draw a right angled triangle from the points needed, either to find the length or the angle
2) draw the triangle separately from the diagram and clearly label it
3) use pythag for the missing lengths then use shift and trig for the angle

Question 8

Radius

Answer 8

Straight line from the centre to the circumference of a curcle

Question 9

Circumference

Answer 9

The length around the whole circle

Question 10

Diameter

Answer 10

A straight line that touches the circumference in 2 places and passes through the centre

Question 11

Chord

Answer 11

A straight line that touches the circumference in 2 places but doesn’t go through the centre

Question 12

Sector

Answer 12

A slice of the circle trapped between 2 radii

Question 13

Arc

Answer 13

A curved line which is a section of the circumference

Question 14

Segment

Answer 14

An area of the circle trapped between a chord and the circumference

Question 15

Tangent

Answer 15

A straight line that touches the circumference exactly once

Question 16

Circumference equation for a circle (dont need to learn)

Answer 16

PiD / 2piR

Question 17

Area equation of a circle (dont need to learn)

Answer 17

PiR(sq)

Question 18

Arc length equation

Answer 18

x/360 x 2piR

Question 19

Sector area equation

Answer 19

x/360 x piR(sq)

Question 20

Area of a triangle

Answer 20

1/2 x b x h

Question 21

Alternative equation for a triangle (dont need to learn)

Answer 21

1/2 a b sinc

Question 22

Area of a parallelogram

Answer 22

B x h

Question 23

Area of a trapezium (dont need to learn)

Answer 23

1/2 x (a+b) x h

Question 24

Surface area is

Answer 24

The total area of all the outer surfaces added together

Question 25

Surface area of a sphere (dont need to learn)

Answer 25

4 pi r(sq)

Question 26

Surface area of a cone

Answer 26

Pi r l + pi r(sq)

Question 27

Surface area of a cylinder

Answer 27

2 pi r h + 2 pi r(sq)

Question 27

Volume of a cuboid

Answer 27

L x W x H

Question 28

Volume of a sphere (dont need to learn)

Answer 28

4/3 pi r (cbd)

Question 29

Volume of a cone (dont need to learn)

Answer 29

1/3 x pi r (sq) x h

Question 30

Volume of a prism (dont need to learn)

Answer 30

Cross sectional area x length

Question 31

Volume of a pyramid

Answer 31

1/3 area of base x height

Question 32

Curved surface area of a cone (dont need to learn)

Answer 32

pi r l

Question 33

Total SA of a cone

Answer 33

Pi r l + pi r (sq)

Question 34

Volume of a cylinder (dont need to learn)

Answer 34

Pi r(sq) h

Question 35

Volume of a hemisphere

Answer 35

1/2 x 4/3 pi r(cb)

Question 36

Surface area of a hemisphere

Answer 36

2 pi r(sq)

Question 37

Total surface area of a hemisphere if solid

Answer 37

Pi r(sq) + 2 pi r(sq)

Question 39

Curved surface are of a cylinder (dont need to learn)

Answer 39

2 pi rh

Question 40

alternate angles look like

Answer 40

Z

Question 41

corresponding angles look like

Answer 41

F

Question 42

interior angles (C) add up to

Answer 42

180 degrees