Unit 1 7th Grade Math Honors Jeopardy!

Applying Circumference of Circles

Applying Area of Circles

Angle Relationships and Using Equations to Solve for Unknown Angles

Triangle Inequality Theorem

Volume and Surface Area of Right Prisms

100

Jake buys a circular hay bale for his horses that is 58.2 inches in diameter. What is the circumference of the hay bale rounded to the nearest tenth of an inch? Use 3.14 for.

182.7 inches

100

The radius of a circular plate is 3 inches. Which measurement is closest to the area of this plate?

Hint: Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula,, where r is the radius of the circle. This area formula is useful for measuring the space occupied by a circular field, table covering, or a plot.

28.26 square inches

100

Vertical angles can be supplementary.

True or False?

Hint:

Complementary Angles- Two or more angles that add up to be a total of 90 degrees (a right angle).
Supplementary Angles- Two or more angles that add up to be 180 degrees or a straight line. They may also be called a linear pair.
Vertical Angles- Angles that share a vertex and are across from each other. They are equivalent in values.
Adjacent Angles- Two angles that share a common side and vertex (they are connected).

True

100

Which are the lengths of the sides that would form a triangle?

A. 3 cm, 4 cm, 7 cm
B. 2 mm, 5 mm, 6 mm
C. 4 cm, 8 cm, 3 cm
D. 3 mm, 7 mm, 1 mm

Hint: The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

B. 2 mm, 5 mm, 6 mm

100

A triangular prism has a base area of 16 square cm and a height of 6 cm. What is the volume?

Hint: When you find the volume of a prism, you are determining how much “stuff” you can put inside of it. The volume of a triangular prism can be found by multiplying the Base area times the height.

Volume = Base Area * Height
Base Area = Area of a Triangle = ½*b*h
Height = Height of the Prism

96 cm3

200

Josh is painting a circle on a local softball field. The circle has a diameter of 2.5 feet. What is the approximate circumference of the circle?

Hint: The circumference of a circle is the distance around the outside of the circle. It is like the perimeter of other shapes like squares. The circumference of a circle is 3.14*Diameter or 3.14*2*Radius.

7.85 feet

200

Which is closest to the area of a circle with a radius of 9 cm?

254 cm

200

Adjacent angles can be complementary.

True or False?

Hint:

Complementary Angles- Two or more angles that add up to be a total of 90 degrees (a right angle).
Supplementary Angles- Two or more angles that add up to be 180 degrees or a straight line. They may also be called a linear pair.
Vertical Angles- Angles that share a vertex and are across from each other. They are equivalent in values.
Adjacent Angles- Two angles that share a common side and vertex (they are connected).

True

200

Which side measures can form a triangle?

A. 3 cm, 5 cm, 8 cm
B. 6 cm, 7 cm, 12 cm
C. 9 cm, 9 cm, 19 cm
D. 10 cm, 5 cm, 4 cm

Hint: The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

B. 6 cm, 7 cm, 12 cm

200

The base of the prism is a triangle. The base of the triangle is 10 cm and the height is 8 cm. The height of the prism is 15 cm. What is the volume of the triangular prism?

Volume = Base Area * Height
Base Area = Area of a Triangle = ½*b*h
Height = Height of the Prism

600 cm3

300

John painted a circle on the athletic field with a radius of 25 ft. What is the approximate circumference of John’s circle?

157 ft

300

Esperanza is making a round tablecloth. The cloth has a radius of 11 inches and will have a border made of fringe. About how many inches of fringe will Esperanza need?

379.94 inches ~ 380 inches

300

Complementary angles can be supplementary.

True or False?

Hint:

Complementary Angles- Two or more angles that add up to be a total of 90 degrees (a right angle).
Supplementary Angles- Two or more angles that add up to be 180 degrees or a straight line. They may also be called a linear pair.
Vertical Angles- Angles that share a vertex and are across from each other. They are equivalent in values.
Adjacent Angles- Two angles that share a common side and vertex (they are connected).

False

300

Which set of three angles could be the interior measures of a triangle?

A. 20°, 40°, 80°20°, 40°, 80°
B. 30°, 60°, 90°30°, 60°, 90°
C. 40°, 70°, 80°40°, 70°, 80°
D. 50°, 60°, 100°

Hint: A triangle has 3 sides. There are 180° in a triangle.

B. 30°, 60°, 90°30°, 60°, 90°

300

The base of the prism is a triangle. The base of the triangle is 7 cm and the height is 4 cm. The length of the rectangular faces are 7 cm and the width is 8 cm. The height of the prism is 8 cm. What is the surface area of the triangular prism?

Hint:

The surface area of any prism is the total area of all its sides and faces.
A triangular prism has three rectangular sides and two triangular faces.
To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and w = width.
To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.
Once you have the areas of all sides and faces, you simply add them together to get the surface area.

224 cm2

400

The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel?

Hint: The circumference of a circle is the distance around the circle. This is also how far the circle rolls on flat ground in one rotation. For example, a bicycle wheel with a diameter of 24 inches has a circumference of 24π inches and will roll 24π inches (or 2π feet) in one complete rotation.

1,272 inches (106 feet)

400

Tyree is ordering drink coasters with the school logo printed on the top. The coasters are circular with a radius of 1.75 inches. What is the area of each coaster? (Use 3.14 for )

9.62 inches

400

Angles A and B are vertical angles. If angle A is 59°, then what is angle B?

Hint:

Complementary Angles- Two or more angles that add up to be a total of 90 degrees (a right angle).
Supplementary Angles- Two or more angles that add up to be 180 degrees or a straight line. They may also be called a linear pair.
Vertical Angles- Angles that share a vertex and are across from each other. They are equivalent in values.
Adjacent Angles- Two angles that share a common side and vertex (they are connected).

59°

400

Which measurement does not represent the lengths of 3 sides of a triangle?

A. 1 ft, 3 ft, 5 ft
B. 3 ft, 5 ft, 7 ft
C. 5 ft, 7 ft, 9 ft
D. 7 ft, 9 ft, 11 ft

Hint: The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

A. 1 ft, 3 ft, 5 ft

400

The base of the prism is a triangle. The base of the triangle is 6 cm and the height is 4 cm. The length of the rectangular faces are 6 cm and the width is 10 cm. The height of the prism is 10 cm. What is the surface area of the triangular prism?

Hint:

The surface area of any prism is the total area of all its sides and faces.
A triangular prism has three rectangular sides and two triangular faces.
To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and w = width.
To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.
Once you have the areas of all sides and faces, you simply add them together to get the surface area.

228 cm2

500

The wheels on Kiran's bike are 64 inches in circumference. How many times do the wheels rotate if Kiran rides 300 yards? There are 36 inches in a yard.

About 169 times.

500

A farmer needs grass seed to cover a circular field, 300 feet in diameter.

A store sells 50-pound bags of grass seed. One pound of grass seed covers about 500 square feet of field.

What is the smallest number of bags the farmer must buy to cover the circular field?

2.826 ~ 3 bags

500

Angles T and V are complementary. Angle T has a measure of (2x + 10)°. Angle V has a measure of 48°. What is the value of x?

Hint:

Complementary Angles- Two or more angles that add up to be a total of 90 degrees (a right angle).
Supplementary Angles- Two or more angles that add up to be 180 degrees or a straight line. They may also be called a linear pair.
Vertical Angles- Angles that share a vertex and are across from each other. They are equivalent in values.
Adjacent Angles- Two angles that share a common side and vertex (they are connected).

16°

500

Which are the lengths of the sides of a scalene triangle?

A. 7 mm, 4 mm, 7 mm
B. 3 mm, 3 mm, 3 mm
C. 2 mm, 8 mm, 8 mm
D. 6 mm, 9 mm, 4 mm

Hint: The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

D. 6 mm, 9 mm, 4 mm

500

Select all the situations where knowing the volume of an object would be more useful than knowing its surface area.

Determining the amount of paint needed to paint a barn.
Determining the monetary value of a piece of gold jewelry.
Filling an aquarium with buckets of water.
Deciding how much wrapping paper a gift will need.
Packing a box with watermelons for shipping.
Charging a company for ad space on your race car.
Measuring the amount of gasoline left in the tank of a tractor.

Hint:

The surface area of any prism is the total area of all its sides and faces.
When you find the volume of a prism, you are determining how much “stuff” you can put inside of it.

2,3,5, and 7