Download Geometry Packet Cole and Lucas 1. John found a circular manhole

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 28.26 . The
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teacher wanted him to find the diameter of the circle using the formula
C=r or C=d . What is the diameter of the circle? What is the radius? How
do you know and explain?
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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 32 , then what is the degree of the
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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 75 is one angle then what is the measurement of the
adjacent angle?
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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 55 on a right angle on her math quiz.
If 90 is supposed to be a right angle then what is the missing
degree? Explain how you know?
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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?