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Could You Pass 8th-Grade Math ?
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| Nearly all U.S.
states have set new standards for academic achievement in their
schools. To help ensure that "no child is left behind," states
now periodically test students to see if they meet these
standards. What are today's kids expected to know? Get a
hint by taking this sample of the
Illinois State Board of Education's math test for
8th-graders.
Click here
for answers.
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1. |
How many different ways are there to travel from Mason to
Jackson if travel is allowed only in the direction of the
arrows shown in the drawing below? |
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a) |
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3 ways |
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b) |
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5 ways |
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c) |
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12 ways |
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d) |
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13 ways |
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e) |
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21 ways |
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2. |
For her school newspaper, the editor has a photo that has a
height of 4" and a width of 6". She needs to enlarge the
picture proportionally to fit a space with a height of 7".
What will the new width be? |
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a) |
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17" |
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b) |
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14-1/2" |
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c) |
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11-2/3" |
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d) |
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10-1/2" |
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e) |
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4-2/3" |
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3. |
Jill plans to put ribbon around the rim of a pot and attach
a bow onto the ribbon. The bow itself will take 18 inches of
the ribbon. What is the least amount of ribbon needed for one
pot if the pot is 8 inches in diameter?
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a) |
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About 18 inches |
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b) |
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About 44 inches |
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c) |
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About 56 inches |
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d) |
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About 96 inches |
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e) |
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About 144 inches |
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4. |
Jessie runs at a constant rate of 7 meters per second. At
the beginning of a race, she is 350 meters from the finish
line. How long will it take Jessie to reach the finish line? |
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a) |
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40 seconds |
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b) |
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50 seconds |
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c) |
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60 seconds |
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d) |
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100 seconds |
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e) |
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400 seconds |
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5. |
Mr. Jordan has 36 feet of fencing to make an exercise area
for his dog. What should the dimensions of the rectangular
region be in order to produce the largest possible area for
the dog? |
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a) |
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5 feet by 13 feet |
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b) |
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6 feet by 12 feet |
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c) |
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7 feet by 11 feet |
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d) |
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8 feet by 10 feet |
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e) |
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9 feet by 9 feet |
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6. |
An airplane flying at an altitude of 32,000 feet descends
at a rate of 1,300 feet per minute. If the plane descends for
15 minutes, what would its altitude be in feet? |
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a) |
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10,000 feet |
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b) |
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12,500 feet |
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c) |
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19,000 feet |
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d) |
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19,500 feet |
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e) |
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30,200 feet |
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7. |
During what 10-year period did automobile sales increase
the most?
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a) |
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1940-1950 |
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b) |
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1950-1960 |
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c) |
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1960-1970 |
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d) |
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1970-1980 |
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e) |
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1980-1990 |
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8. |
The shaded surface of this access ramp will be covered with
all-weather carpet. Find the area of the carpet needed.
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a) |
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12 sq ft of carpet |
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b) |
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32 sq ft of carpet |
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c) |
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40 sq ft of carpet |
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d) |
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48 sq ft of carpet |
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e) |
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96 sq. ft of carpet |
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9. |
The chart below lists the exam scores for five students.
All exam scores have a possible 100 points. What minimum score
does Cathy need on a 5th exam to obtain an average score of
exactly 90?
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a) |
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90 |
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b) |
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92 |
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c) |
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94 |
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d) |
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96 |
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e) |
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98 |
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10. |
If the first coordinate of an ordered pair is zero, such as
(0,4), (0,6), and (0,8), then the line connecting these points
is |
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a) |
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a vertical line |
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b) |
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a horizontal line |
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c) |
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a diagonal line |
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d) |
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a curved line |
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e) |
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intersecting lines |
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a) |
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83 |
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b) |
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59 |
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c) |
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54 |
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d) |
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14 |
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e) |
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10 |
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12. |
A coat which regularly costs $152.98 is on sale for 25%
off. The sales tax in Illinois is 8-1/4%. To the nearest
dollar, what is the total cost of the coat? |
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a) |
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About $40 |
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b) |
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About $115 |
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c) |
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About $120 |
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d) |
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About $124 |
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e) |
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About $140 |
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13. |
The Washington Monument is 555 feet tall. For a class
project, Tom is to make a scale model of the monument to place
in the front hall display case. The display case is 24 inches
tall. Which scale will allow him to make the tallest model
that will fit in the display case? |
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a) |
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1 inch = 10 feet |
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b) |
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1 inch = 15 feet |
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c) |
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1 inch = 17 feet |
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d) |
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1 inch = 20 feet |
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e) |
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1 inch = 25 feet |
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14. |
Luke wants to buy a CD player that costs $56 including tax.
He gets $10 a week for his allowance. He spends $3.50 a week
and saves the rest. How many weeks will it take him to save
enough money to buy the CD player? |
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a) |
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6 weeks |
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b) |
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7 weeks |
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c) |
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8 weeks |
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d) |
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9 weeks |
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e) |
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10 weeks |
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15. |
Calculate the surface area of the cube below. |
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a) |
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3.375 cm2 |
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b) |
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4.5 cm2 |
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c) |
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6.75 cm2 |
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d) |
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9 cm2 |
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e) |
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13.5 cm2 |
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16. |
Mark plans to put a circular garden in front of the school.
The garden has a diameter of 18 feet. He needs to cover the
garden with peat moss, which is sold in bags. Each bag can
cover 150 square feet. What is the least number of bags he
will need? |
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a) |
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1 bag |
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b) |
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2 bags |
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c) |
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3 bags |
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d) |
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4 bags |
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e) |
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5 bags |
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17. |
The volume of this box is 288 cubic cm, and the height is 4
cm. The length is triple the height. Find the width (w).
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a) |
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6 cm |
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b) |
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8 cm |
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c) |
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10 cm |
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d) |
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12 cm |
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e) |
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24 cm |
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18. |
Which would result in the largest number? |
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a) |
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102 + 302 |
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b) |
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104 |
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c) |
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19 x 21 + 29 x 31 |
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d) |
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25 x 36 |
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e) |
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402 |
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19. |
Lines m and n are parallel. Which list of
angles are all congruent to angle 1?
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a) |
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2, 4, 6 |
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b) |
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3, 5, 7 |
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c) |
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4, 5, 6 |
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d) |
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6, 7, 8 |
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e) |
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8, 4, 1 |
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20. |
As Stephen walks home he walks by an empty rectangular
field. He can either walk across the field diagonally or walk
the length and width. About how many feet less is the walk
diagonally through the lot?
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a) |
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About 141 feet |
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b) |
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About 200 feet |
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c) |
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About 279 feet |
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d) |
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About 420 feet |
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e) |
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About 721 feet |
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