Geometry Packet

Cole and Lucas

1. John found a circular manhole cover with a diameter of

23cm. What is the area and circumference of this shape?

2. A square tile has side lengths of 8 cm. What is the area and perimeter of a single

tile?

3. Jimmy made a rectangular poster for announcing yearbook sales,

with a length of 45cm and a width of 31 cm. What is the area.

4. Luke found a composite shape in a water drain, made up of a rectangle

and a semicircle. The semicircle has a diameter of 8cm and the rectangle

has side lengths of 8 cm and 7cm. What is the area of the shape?

5. Paul found a pole in the shape in the shape of a cylinder, with a diameter

of 5 cm and a height of 226 cm. What is the volume of the pole?

6. The bus board at Tom’s school is in the shape of a rectangular prism,

with a length of 243 cm, a width of 2 cm, and a height of 123 cm.

What is the surface area and volume of the board.

7. What type of angles are shown in the

sidewalk?

8. What type of angles are shown with the lines on the sidewalk?

9. What type of angles are the ones shown?

10. What types of angles are these?

11. Tony won a trophy for a math competition in the shape of a

triangular prism, with a length of 11 cm, a width of 2 cm, and a height

of 28 cm. What is the volume of his trophy?

Tommy and Adam

12. Circle – The diameter of the circle is 3 cm, find the circumference and the

area.

13. Square- The base of this prism is a square. The length of one side is 4

cm, what is the area?

14. Rectangle – The magnet has a length of 6 cm, and a width of 3 cm. What is

the area of the magnet?

15. Composite shape- The lengths, widths, and heights of the shape are given. Find the volume of

each shape, then find the total volume.

Rectangle: Length-34cm Height-1 ½ cm Width- 1 ¼ cm

Square Length-½ cm Height-½ cm Width-1 ½ cm

Triangle Length-1 ⅝ cm Height- 1 ¼ cm Width- 1 ¼ cm

16. Cylinder – The cylinder has a diameter of 2 cm and a height of 1 ½ cm. What is

the volume of the cylinder?

17. Rectangular Prism - One of the bars on the bench has a length of 38 cm, a

width of 6 cm, and a height of 1 ½ cm. What is the surface area of the prism?

18. Vertical Angles – The vertical angles of the bench are 90 degrees each.

What would the total degrees be?

19. Adjacent angles- Both of the angles next to each other are 40 degrees. Add

them together and subtract the sum from a complementary angle. What is left over?

20. Complementary angles- The two 45 degree angles on the fence add up to

be a complementary angle. How many 45 degree angles would you need to have

two complementary angles?

21. Supplementary angle- The two bricks have 90 degree

angles. What is the total angle for the two bricks? Also find out the

total angle of 10 bricks.

22. Triangular prism- The prism shaped trophy has a length of 11 cm, a width

of 4 ½ cm, and a height of ¾ cm. What is the volume of the trophy?

23. Trapezoid- The end of the bench is shaped like a trapezoid. The height

is 2 ½ cm and the two bases are 4 ⅛ cm and 9 cm. Find the total area of both

ends of the bench.

Carla and Skylar

24. France wanted to know the area of his friend Spain’s favorite

cylinder. He found that the diameter of one of the circular bases

was 18.5 centimeters. The height of the whole cylinder was 260

centimeters. What is the area? Use 3.14 for pi.

25. Indonesia always wondered what the area of a small

square tile would be. She found one side to be 8.5. What are

the measurements of the other sides? What is the total area?

26. New Zealand saw a circle on a table

that she wanted to find the circumference of. She measured the

diameter, and found it to be 7.7 centimeters. What is the

circumference of the paper? Use 3.14 for pi.

27. Nigeria was walking to the park with his friend Kenya,

and saw a rectangle that he wanted to find the area of. He

measured the length to be 19.5. The width was a number

you get when you solve 5 x 3 - 5. What is the area?

28. If one side of an angle is 90 degrees, and the one opposite from it is also

90 degrees, are the two angles vertical or adjacent?

29. There are two adjacent angles that, if the measures

are combined, could make a straight line. If one of the angles

was 25x and the other was 105, what is the value of x?

30. The composite shape of a table is composed of two identical trapezoids

and one rectangle. The top base of one trapezoid is 71 centimeters. The

bottom base is 43.5 centimeters. The height of the trapezoids is 15.5,

and the length of the entire rectangle is 213 centimeters.

31. Ms. Luxembourg bought a toy shaped like a rectangular

prism for her son. She wanted to know the surface area of the

prism. She found the surface area to be 3777 centimeters. The

height was 10 centimeters, and the width is 31 centimeters.

What is the length?

32. What is a 90 degree angle called?

33. If an angle is a straight line, what would it be

called?

Briana and

34. What is the diameter of the circle if the circumference is 200.96

cm? What is the radius? If necessary, round to the nearest whole number.

35. What is the measurement of the side of the square

if the area is 12,100 cm?

36. Abby is trying to figure out a math riddle. The riddle

says “ One side of a rectangle is 10 cm. Multiply 10 by 2 and then multiply it again by 4. The product will be divided by 10 and added a sum of 12. What is the missing length?

37. The diameter of the circle is 3 sq units . The length of the

rectangle is 7 and the width is 2.5. How many units are in this

composite figure?

38. Caleb measured a cylinder and the circumference was 28.26o. The

teacher wanted him to find the diameter of the circle using the formula C=r2 or C=d . What is the diameter of the circle? What is the radius? How do you know and explain?

39. Mrs.McLaughlin wanted her students to find the height of a rectangular prism. The length and width are both 8 cm. What is the height if the volume is

1280 cm?

40. If the angle y is 32o, then what is the degree of the

vertical angle not given? Is angle x the correct vertical angle to

y? Explain why or why not?

41. Some adjacent angles make a supplementary angle. In this

case it does. If 75o is one angle then what is the measurement of the adjacent angle?

42. Jeff is trying to find the measurements that composite a

supplementary angle. Two of the angles are vertical and all three are adjacent. If one measurement is

20 cm then what is the measurement of the vertical and adjacent angles?

43. Maia measured 550 on a right angle on her math quiz.

If 90o is supposed to be a right angle then what is the missing degree? Explain how you know?

44. What is the area of the trapezoid if the height is 195 cm,

and the bases are 692 cm and 586 cm?

Nicole and Gabby

1. What is the circumference of the inner circle?

2. If the edge around the inner circle measured 2 cm, what would the

area including the outer circle be? Approximate to the nearest

hundredth.

3. Paul wants to put a pole in the circle. Write an inequality for Paul to

know the largest the pole can be to fit in the circle. Approximate to

the nearest hundredth.

1. Jake is making square tiles. He wants to fill the bottom of his pool

with these. If his pool was a trapezoid, measuring 15 meters in

height, 8 meters on the top, and 12 meters on the bottom, how

many tiles would Jake be able to fit?

2. How many tiles would Jake need to make?

3. If Jake can sell one tile for $0.05, how many would he need to sell to

gain $51.15?

1. Dawn has to copy this magnet 150 times. How much magnet sheet

will she need to copy them?

2. If each meter of the magnet sheet cost $1.50, how much would

Dawn have to pay?

1. Patty is making a fence around her house . She goes to a store to

buy these fence poles. She puts them 5 meters apart. If in total they

measure 60 meters in length, how many did Patty buy?

2. How much money did Patty spend if each pole costs $3?

3. What is the area of one of these poles?

1. Jeff has this box. If he puts 7 books in this box, each measuring 2.3

cm in height and 3 more, measuring 4.7 in height, how much height

is left inside the box?

2. Is there enough space to put another small book inside the box?

3. Calculate the surface area of this box.

1. Bobby looked at the shadows created by the poles. He saw the two

angles. He knew one of them was 37º, but he didn’t know the other

one. What is the angle of angle 2?

1. Jenna turns to look at her bookshelf. She sees a pair of adjacent

angles. In total they measure 120º. How much does each angle

measure?

1. Patrick looks at the clock. If one of the angles measures 60º, how

much does the other measure?

1. Isabella sees the supplementary angles. She measures one angle,

but not the other. What does the other angle measure?

1. As Ricky stops to look at the “stop” sign, he realizes it can be a

composite shape. If all the sides are of equal length, what is the area

of this composite shape?

2. Ricky has a picture of himself in an octogonal frame, like the “stop”

sign. If his frame is ⅛ the size of the “stop” sign’s, what is the area of

his frame?

1. As Jackelin walked down the hallway, she noticed this camera on the

ceiling. The measurements are shown. What is the area of this

camera?

2. If every camera in the school were the same size as the one shown,

what would the total area of them be if there are 23 cameras in

total?

Camille and Alexandra

1. Find the area of the circle. Round to the nearest tenth. diameter=63 cm

2. Find the area of the square. s=8 cm

3. Camille was at school and she found a rectangle. She wanted to find the area. Help her find the area with these measurements. 45cm for the base and 60cm for the height.

4. At the end of the lunch table at Napoleon’s school there was a trapezoid and a rectangle put together. He wanted to find the area of the trapezoid and rectangle together. With these measurements help him achieve his goal. Measurements: base 1= 26 cm base 2=47 cm height= 39 cm rectangle height= 25 cm

5. Abraham found a solid object with two identical flat ends that are circular and have a curved side. What shape is it and what is the area if these are the measurements.

6. Regina had a container filled with fruit at lunch. She claimed that her container was a rectangular prism. After lunch she decided to measure it. She got 3 cm for the height and 5 cm for the width and 7 for the length. Find the volume.

7. Under Catherine’s lunch table there were a pair of vertical

angles.Find the measurement of angle efg if angle abc is 95 degrees.

8. Maia was watching the clock when the second hand reached 2. The angle equaled 110 degrees. What is the measurement of angle abc is angle cbd is 75 degrees?

9. As Camille stared off into the distance she saw a pair of supplementary angles. She wanted to find the measurement of the angle lmn if angle lmo is 60 degrees.

10. Jessica spotted Briana holding a complementary angle. Angle qrs is 45 degrees. How many degrees is angle srt.

11. How do you find the area of a trapezoid? What is the area of this trapezoid using the formula?.

Maddie and Lili

1. What is the circumference of the cylinder if the diameter is 21 cm?

2. What is the area of the circle if the diameter is 4 ½cm? Round to the nearest tenth

3. What is the area of the square if all the sides are 8 ½ cm?

4. What is the width of the rectangle if the length is 178cm and the

area is 26,700cm?

5. What is the area of this composite figure? Round to the nearest tenth.

6. What is the area of the trapezoid using the formula ½ h (b1 + b2) ?

7. What is the the surface area of this rectangular prism?

8. What are these two angles called?

9. What is the definition of adjacent angles?

10. What is the measurement of angle 1 if angle 2 is 115 and has to equal 180?

11. What are complementary angles?