Geometry Topics

Question 1

Area of a Trapezium

Answer 1

1/2(a+b)h

Units: sq

Question 2

Area of a Triangle

Answer 2

Base x Height / 2

Units: sq

Question 3

Area of a Rectangle

Answer 3

length x width

Units: sq

Question 4

Speed, Distance, Time conversions

Answer: A lorry travels 210 miles at a speed of 50mph. Calculate how long the journey lasts.

Give your answer in hours and minutes.

Answer 4

30mins = 0.5
45mins = 0.75
15mins = 0.25
60mins = 1

Time = Distance / Speed
210 / 50 = 4.2
0.2 x 60 = 12
Answer = 4 hours 12 minutes

Question 5

Perimeter

Answer 5

Write down any missing sides and then add up all the sides

Only put units, not (2) or (3)

Question 6

Area of a Circle

Circumference of a Circle

Answer 6

Area = Pi x r(2)

Circumference = Pi x diameter

Question 7

Area of Sector

Length of Arc

Answer 7

Area of Sector = degree/360 x area of circle

Length of Arc = degree/360 x circumference of a circle

Question 8

Area of a Cube

Answer 8

6 x area (2)

Question 9

Volume of a Cone

Answer 9

Pi x r(2) x height / 3

Question 10

Volume of a Pyramid

Answer 10

1/3 x Area of Base x Height

Question 11

Volume of a Cylinder

Answer 11

Pi x r(2) x length

Question 12

Surface Area of a Square-based pyramid

Answer 12

1) Calculate the areas of the 4 triangles and 1 square
2) Multiply the area of the triangles with 4
3) Add the areas together

Question 13

Surface Area of a Cube/Cuboid

Answer 13

Find the area of all sides and add them all together

Question 14

Surface area of a Sphere

Volume of a Sphere

Answer 14

Surface Area = 4 x Pi x r(2)

Volume = 4/3 x Pi x r(3)

Question 15

Surface Area of a Cone

Answer 15

Pi x radius x length + Pi x radius(2)

LENGTH is the slanted height and PI x RADIUS(2) is AREA OF A CIRCULAR BASE

Question 16

Surface area of a Cylinder

Answer 16

2 x Pi x Radius x Height + 2 x Pi x Radius(2)

SECOND PART is the CIRCULAR ENDS

Question 17

Volume of a Prism

Answer 17

1/2 x BASE x HEIGHT x LENGTH

Question 18

Volume of a Triangular Prism

Answer 18

Volume = Area of Triangle which is 1/2 x BASE x HEIGHT and then use this answer to multiply with the LENGTH

Question 19

Volume of a Cuboid

Answer 19

LENGTH x WIDTH x HEIGHT

Question 20

How would you describe an enlargement?

Answer 20

Shape . . . has been enlarged by the factor . . . about the point ( , )

Question 21

What do angles in a quadrilateral equal?

Answer 21

360 degrees

Question 22

What do angles in a Triangle equal?

Answer 22

180 degrees

Question 23

Alternate angles

Answer 23

They are the same

Found in Z shapes