# TAKS Math Objective 8A

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JEOPARDY JEOPARDY JEOPARDY

Jeopardy Board
Measurement Dilations and Measurements Proportions

Final Jeopardy

Geometric Problem Solving

100
200 300 400 500

100
200 300 400 500

100
200 300 400 500

100
200 300 400 500

Measurement 100
The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the 1 dimensions of the cylinder to the nearest inch.
8

Which is closest to the total surface area of this cylinder? F 4 in.2 G 11 in.2 H 14 in.2 J 25 in.2

Measurement 100
The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the 1 dimensions of the cylinder to the nearest inch.
8

Which is closest to the total surface area of this cylinder? F 4 in.2 G 11 in.2 H 14 in.2 J 25 in.2
Board Length _______ 3 in

Measurement 100
The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the 1 dimensions of the cylinder to the nearest inch.
8

Which is closest to the total surface area of this cylinder? Area = 12 in2 Lateral Area Only F 4 in.2 G 11 in.2 Width _______ 4 in H 14 in.2 J 25 in.2
Board Length _______ 3 in

Measurement 100
The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the 1 dimensions of the cylinder to the nearest inch. 8 Which is closest to the total surface area of this cylinder? Circles 5 Area = 12 in2 F 4 in.2 Radius = ______ Lateral Area Only 8 G 11 in.2 As a decimal Two Circles Width _______ Total Surface 4 in 2 H 14 in. Area J 25 in.2 12.000
πr2 Area of a circle = _______ A = π(0.625)2 Board A = 1.227 Length _______ 3 in 1.227 1.227 14.454

The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure the 1 dimensions of the cube to the nearest inch.
4

Measurement 200

Find the surface area of the cube to the nearest square inch. A 2 in.2 B 9 in.2 C 14 in.2 D 18 in.2

The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure the 1 dimensions of the cube to the nearest inch.
4
1 2

Measurement 200

Find the surface area of the cube to the nearest square inch. A 2 in.2 B 9 in.2 C 14 in.2 D 18 in.2
Board

1 in

The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure the 1 dimensions of the cube to the nearest inch.
4
1 2

Measurement 200

Find the surface area of the cube to the nearest square inch. A 2 in.2 B 9 in.2 C 14 in.2 D 18 in.2
Board

1 in 1 in

1 2

The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure the 1 dimensions of the cube to the nearest inch.
4
1

Measurement 200

Find the surface area of the cube to the nearest square inch. A 2 in.2 B 9 in.2 2.25 in2 2.25 in2 C 14 in.2 D 18 in.2
Board

1 in 1 in 2 2.25 in2

1 2

2.25 in2

2.25 in2

2.25 in2

The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter. Find the total surface area of this cylinder to the nearest square centimeter. F 6 cm2 G 14 cm2 H 19 cm2 J 33 cm2

Measurement 300

The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter. Find the total surface area of this cylinder to the nearest square centimeter. F 6 cm2 Rect. = 18.8 cm2 1.5 cm G 14 cm2 Circle = 7.1 cm2 9.4 cm H 19 cm2 Circle = 7.1 cm2 33.0 cm2 J 33 cm2
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Measurement 300

2 cm

Measurement 400
The net of a cylinder is shown below. Use the ruler on the Math Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter. Which of the following best represents the total surface area of this cylinder? F 142 cm2 G 93 cm2 H 23 cm2 J 14 cm2

Measurement 400
The net of a cylinder is shown below. Use the ruler on the Math Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter. Which of the following best 7 cm represents the total surface 1.7 cm area of this cylinder? F 142 cm2 Rect. = 73.5 cm2 G 93 cm2 Circle = 9.1 cm2 2 Circle = 9.1 cm2 H 23 cm 2 91.7 cm2 J 14 cm
Board

10.5 cm

Measurement 500
Use the ruler on the Mathematics Chart to measure the dimensions of the composite figure to the nearest tenth of a centimeter. Which best represents the approximate area of this composite figure?
A B C D 34.7 cm2 38.8 cm2 44.6 cm2 54.5 cm2

Board

Measurement 500
Use the ruler on the Mathematics Chart to measure the dimensions of the composite figure to the nearest tenth of a centimeter. Which best represents the approximate area of this composite figure?
A B C D 34.7 cm2 38.8 cm2 44.6 cm2 54.5 cm2
3.3 cm

2.5 cm

10.5 cm
3.4 cm 3.4 cm

1 bh 2 Area of triangle = _____

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LW Area of rectangle = _____

Dilations and Measurements 100
The scale of two similar quadrilaterals is 1:2. The perimeter of the smaller quadrilateral is 80 centimeters. What is the perimeter of the larger quadrilateral? A 40 cm B 80 cm C 160 cm D 320 cm

Dilations and Measurements 100
The scale of two similar quadrilaterals is 1:2. The perimeter of the smaller quadrilateral is 80 centimeters. What is the perimeter of the larger quadrilateral? Pick a rectangle with a perimeter of 80 cm A 40 cm 30 cm B 80 cm Area = 300 cm2 10 cm C 160 cm Create a rectangle twice as big D 320 cm 60 cm
Board

Perimeter = 160 cm Area = 1200 cm2 The area is 4 times as big

20 cm

Dilations and Measurements 200
The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon? A 100 cm B 75 cm C 50 cm D 150 cm

Dilations and Measurements 200
The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller Pick a rectangle with a perimeter of 150 cm polygon? 60 cm A 100 cm Area = 900 cm2 B 75 cm 15 cm C 50 cm D 150 cm Create a rectangle 2/3 as big
Board

40 cm Perimeter = 100 cm 10 cm 2 Area = 400 cm 4 The area is as big
9

Dilations and Measurements 300
Tony and Edwin each built a rectangular garden. Tony’s garden is twice as long and twice as wide as Edwin’s garden. If the area of Edwin’s garden is 600 square feet, what is the area of Tony’s garden? A 1200 ft2 B 2400 ft2 C 3600 ft2 D 4800 ft2

Dilations and Measurements 300
Tony and Edwin each built a rectangular garden. Tony’s garden is twice as long and twice as wide as Edwin’s garden. If the area of Edwin’s garden is 600 square feet, what is the area of Tony’s Pick a rectangle with an area of 600 ft2 garden? 30 ft A 1200 ft2 20 ft Per. = 100 ft 2 B 2400 ft Create a rectangle twice as big C 3600 ft2 60 ft D 4800 ft2 2
Board

Area = 2400 ft (4 times the area) Per. = 200 ft 40 ft The perimeter is twice as big

Dilations and Measurements 400
A rectangular solid has a volume of 24 cubic decimeters. If the length, width, and height are 1 all changed to 2 their original size, what will be the new volume of the rectangular solid? A 3 dm3 B 4 dm3 C 6 dm3 D 12 dm3

Dilations and Measurements 400
A rectangular solid has a volume of 24 cubic decimeters. If the length, width, and height are 1 all changed to 2 their original size, what will be the new volume of the rectangular solid? A 3 dm3 Pick a rectangular solid with a volume of 24 dm3 B 4 dm3 6 dm C 6 dm3 D 12 dm3 2 dm 2 dm
Create a rectangle half as big
3 dm Board 1 dm 1 dm Vol = 3 dm3 (
1 the volume) 8

Dilations and Measurements 500
If the surface area of a cube is increased by a factor of 4, what is the change in the length of the sides of the cube? F The length is 2 times the original length. G The length is 4 times the original length. H The length is 6 times the original length.

J The length is 8 times the original length.

Dilations and Measurements 500
If the surface area of a cube is increased by a factor of 4, what is the change in the length of the sides of the cube? F The length is 2 times the original length.
4 Each length 2 times as big makes the area _____ times bigger

G The length is 4 times the original length.
16 Each length 4 times as big makes the area _____ times bigger

H The length is 6 times the original length.
36 Each length 6 times as big makes the area _____ times bigger

J The length is 8 times the original length.

64 Each length 8 times as big makes the area _____ times bigger Board

Proportions 100
Kate has 2 similar triangular pieces of paper, as shown below.
Using the dimensions given, find the approximate length of the side labeled p.

Board

Proportions 100
Kate has 2 similar triangular pieces of paper, as shown below.
Using the dimensions given, find the approximate length of the side labeled p.

F G H J

2.4 centimeters 7.3 centimeters 16.5 centimeters 19.6 centimeters
Board

18p = 132 18 18 x = 7.3

left side bottom

18 11  p 12

Proportions 200
If ∆TSR is similar to ∆TNM, what is the length of x?

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Proportions 200
If ∆TSR is similar to ∆TNM, what is the length of x?

A B C D

240 units 140 units 120 units 70 units
outside 70 x  diagonal 120 240
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18p = 132 120x = 16800 120 120 x = 140

Proportions 300
A certain parallelogram has the dimensions shown. Which set of dimensions would produce a similar figure? F 17.6 cm, 88 cm G 70.4 cm, 176 cm H 105.6 cm, 132 cm J 140.8 cm, 220 cm

Proportions 300
A certain parallelogram has the dimensions shown. Which set of dimensions would produce a similar figure? F 17.6 cm, 88 cm G 70.4 cm, 176 cm H 105.6 cm, 132 cm J 140.8 cm, 220 cm
70.4, 88 (35.2 cm, 44 cm)  2 = __________ 140.8, 176 (35.2 cm, 44 cm)  4 = __________

Board

105.6, 132 (35.2 cm, 44 cm)  3 = __________

Proportions 400
To estimate the height of her school’s gym, Nicole sights the top of the gym wall in a mirror that she has placed on the ground. The mirror is 3.6 meters from the base of the gym wall. Nicole is standing 0.5 meter from the mirror, and her height is about 1.8 meters. What is the height of the gym wall?

Board

Proportions 400
To estimate the height of her school’s gym, Nicole sights the top of the gym wall in a mirror that she has placed on the ground. The mirror is 3.6 meters from the base of the gym wall. Nicole is standing 0.5 meter from the mirror, and her height is about 1.8 meters. What is the height of the gym wall? F G H J 1m 5.9 m 7.2 m 12.96 m
Board

height bottom

1.8 x  0.5 3.6
0.5x = 6.48 0.5 0.5 x = 12.96

In El Paso, Texas, the streets named Hercules Avenue, Hondo Pass Drive, and Trans Mountain Road are parallel. They all intersect Dyer Street and U.S. Route 54, as shown on the map below. If all of these streets are straight line segments, how long is Dyer Street between Hercules Avenue and Trans Mountain Road?

Proportions 500

Board

In El Paso, Texas, the streets named Hercules Avenue, Hondo Pass Drive, and Trans Mountain Road are parallel. They all intersect Dyer Street and U.S. Route 54, as shown on the map below. If all of these streets are straight line segments, how long is Dyer Street between Hercules Avenue and Trans Mountain Road? left 5280 10560 A 8,450 ft  right 6600 x B 9,900 ft 5280x = 69696000 C 13,200 ft 5280 5280 D 19,800 ft
Board x = 13,200

Proportions 500

Geometric Problem Solving 100
The map below shows 2 different routes Ms. Bentsen can take to drive to the airport from her house. How many miles could Ms. Bentsen save by traveling on Airport Road instead of Mountain Highway and Oak Road to get to the airport?

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Geometric Problem Solving 100
The map below shows 2 different routes Ms. Bentsen can take to drive to the airport from her house. How many miles could Ms. Bentsen save by traveling on Airport Road instead of Mountain Highway and Oak Road to get to the airport? a2 + b2 = c2 A 20 mi 252 + b2 = 652 B 30 mi 625 + b2 = 4225 -625 -625 C 35 mi b2 = 3600 60 mi D 60 mi b = 60
Board Distance = _____ 85 mi Distance saved = _____ 20 mi

Geometric Problem Solving 200
The total area of trapezoid FGHJ is 52 square inches. What is the approximate length of FJ?

Board

Geometric Problem Solving 200
The total area of trapezoid FGHJ is 52 square inches. What is the approximate length of FJ? A B C D 8.0 in. 8.5 in. 11.0 in. 11.5 in.
a 2 + b2 = c 2 82 + 32 = c2 64 + 9 = c2 73 = c2 8.5 = c Board 8 in

3 in

Geometric Problem Solving 300
What is the area of the square in the figure below?

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Geometric Problem Solving 300
What is the area of the square in the figure below? A B C D 5.2 square units 6.7 square units 27 square units 45 square units
a 2 + b2 = c 2 62 + 32 = c2 36 + 9 = c2 45 = c2 6.7 = c Board Area of a square ______ s2

6 in 3 in

Geometric Problem Solving 400
The shaded area in the circle below represents the section of a park used by the chamber of commerce for a fund-raising event. What is the approximate area of the section of the park used for the fund-raiser?

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Geometric Problem Solving 400
The shaded area in the circle below represents the section of a park used by the chamber of commerce for a fund-raising event. What is the approximate area of the section of the park used for the fund-raiser? F G H J 339 square feet 1,357 square feet 4,071 square feet 12,214 square feet
Board
120  (36) 2 360

Geometric Problem Solving 500
A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. What is the approximate length of the arc of the section containing peas?

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Geometric Problem Solving 500
A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. What is the approximate length of the arc of the section containing peas? F 3 in. G 21 in. H 16 in. J 5 in.
52  (12) 360

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Final Jeopardy Category

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Final Jeopardy Question
In ∆STR, QP and TR are parallel If SQ = 6 units, QT = 24 units, and the perimeter of ∆SQP is 20 units, what is the perimeter of ∆STR?

In ∆STR, QP and TR are parallel 24 If SQ = 6 units, QT = 24 units, and the perimeter of ∆SQP is 20 units, what is the perimeter of ∆STR? A B C D 80 units 100 units 320 units 500 units

30 How long is ST? _______

How many times bigger is the 5 larger triangle? _______
Board

5 The perimeter is how many times larger? _______

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 views: 173 posted: 9/8/2009 language: English pages: 51