Remember no work no credit Trujillo
Roots1
NAME:______
Row:______
1.Between which two whole numbers is the square root of 70?
A. 7 and 8
B. 8 and 9
C. 9 and 10
D. 10 and 11
2.Which point on the number line best represents √10?
A. Point K
B. Point L
C. Point M
D. Point N
3.Which point on the number line best represents √54?
A. Point A
B. Point B
C. Point C
D. Point D
4.Phillipe needs to find the square root of 2 in order to complete his science experiment. Which is closest to the √2?
A. 1
B. 1.4
C. 1.75
D. 1.9
5.Which is an irrational number?
6.Which is an irrational number?
A. −5
B. 0.67676767…
C. 15/7
D. √18
7.Which is an irrational number?
8.On a number line, between which two numbers would you find the value of π?
A. 0 and 1
B. 1 and 2
C. 2 and 3
D. 3 and 4
9.The value of √14 is best approximated by which of the following?
A. 3.1
B. 3.5
C. 3.7
D. A number between 3 and 4.
10.Which 2 whole numbers would you estimate that √137 is between?
A. 8 and 9
B. 10 and 11
C. 11 and 12
D. 13 and 14
Roots2
NAME:______
ROW:______
11.Between which consecutive whole numbers does √35 fall?
A. 3 and 4
B. 5 and 6
C. 7 and 8
D. 9 and 10
12.Which of the following is not a perfect square?
A. 49
B. 84
C. 121
D. 196
13.Kathy has enough wood to build a dollhouse with a floor area of 9 square feet. If she builds a square dollhouse, how many feet will it measure on each side?
A. 18 ft
B. 9 ft
C. 4.5 ft
D. 3 ft
14.√40 is between what two integers?
A. 2 and 3
B. 3 and 4
C. 4 and 5
D. 5 and 6
E. 6 and 7
15.You may not use a calculator on thisquestion.
What is the value of √81 + √100?
A. 9
B. 10
C. 19
D. 91
16.The area of a square is 36 cm2. What are the lengths of the sides of the square?
A. −6 cm
B. 6 cm
C. 8 cm
D. 24 cm
17.The area of a square is 121 square inches. What is the length of one side of the square?
A. −11 inches
B. 5.5 inches
C. 11 inches
D. 44 inches
18.
√64 + √100 =
A. 2
B. 18
C. 108
D. 164
19.To the nearest hundredth, what is the value of 1/2 × 0.47?
A. 0.01
B. 0.09
C. 0.23
D. 0.24
20Use mental math to estimate which point represents 3 .
A. Point A
B. Point B
C. Point C
D. Point D
Pyth. Ther.1
Name:______
Row:______
21.What is the perimeter of the triangle shown in the figure above?
A. 17 centimeters
B. 28 centimeters
C. 40 centimeters
D. 60 centimeters
22.A square has side lengths of 6 inches. About how long is the diagonal of the square?
A. 3.5 inches
B. 6 inches
C. 8.5 inches
D. 18 inches
23.Ethan was getting ready to wash the windows on the side of his house. He leaned a 5 foot ladder against the house. The bottom of the ladder is 3 feet away from the house. How far up the side of the house is the top of the ladder?
A. 2 feet
B. 4 feet
C. 8 feet
D. 16 feet
24.One leg of a right triangle is 18 in. long. The hypotenuse is 30 in. long. What is the length of the other leg?
A. 12 in.
B. 16 in.
C. 20 in.
D. 24 in.
E. 28 in.
25.Rita has two lengths of fencing to make a flower garden. She will use the fence to make a triangle. Part of her home will make up the third side of the garden. What length of her home will be needed to form the third side of the garden?
A. 5 ft
B. 7 ft
C. 14 ft
D. 25 ft
26.One leg of a right triangle is 8 in. long. The hypotenuse is 10 in. long. What is the length of the other leg?
A. 4 in.
B. 6 in.
C. 7 in.
D. 8 in.
E. 12 in.
27.The hypotenuse of a right triangle is 15 in. long. One leg of the triangle is 12 in. long. What is the length of the other leg?
A. 4 in.
B. 6 in.
C. 7 in.
D. 9 in.
E. 12 in.
28.
The rectangular prism shown has a diagonal of 5 cm on the base and the diagonal from the top to the bottom is 8 cm.
What is the height of the rectangular prism?
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29.How long is the wire from the top of the pole to the ground in the picture above?
A. 15 ft
B. 17 ft
C. 18 ft
D. 23 ft
30.Sam made the drawing above. The small squares are all the same size.
If he makes a large square out of the hypotenuse of the triangle, how many small squares will fit in that new square?
A. 13
B. 119
C. 169
D. 196
Pyth. Ther.2
Name:______
Row:______
31.How long is the wire from the top of the pole to the ground in the diagram above?
A. 15 ft
B. 17 ft
C. 18 ft
D. 23 ft
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32.Which line segment is the hypotenuse of triangle ABC?
A. line segment AC
B. line segment BC
C. line segment CA
D. line segment AB
33.The sailboat above has a mast that is 10 feet high.
The owner of the boat needs to purchase a rope that runs along the long side of sail A. What length of rope, rounded to the nearest tenth of a foot, does the owner need to buy?
A. 9.2 ft
B. 10.8 ft
C. 11.4 ft
D. 12.2 ft
34.Look at the figures.
Which of these figures could NOT demonstrate the Pythagorean theorem, where a2 + b2 = c2?
A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4
35.Which measurement shown could NOT be determined by using the Pythagorean theorem?
A. A
B. B
C. C
D. D
36.Ally and her friends were ice skating on a rink that has all sides of equal length. Each side is 4 feet long. Ally skated from one corner of the square, diagonally across to the opposite corner. How far was the distance Ally skated, to the nearest foot?
A. 4 feet
B. 6 feet
C. 8 feet
D. 16 feet
37.A television screen is 16 inches from side to side and 12 inches from top to bottom. What is the length of a diagonal that runs across the middle of the screen from one corner to the opposite corner?
A. 12 inches
B. 16 inches
C. 20 inches
D. 28 inches
38.A sign broke during a storm. The diagram shows how it fell. What was the original height of the sign?
A. 10 ft
B. 14 ft
C. 18 ft
D. 24 ft
39.John's bedroom is shaped like a rectangle. The dimensions of the room are 10 feet by 14 feet. What is the best estimate of the length of the diagonal of John's room?
A. 5 feet
B. 17 feet
C. 24 feet
D. 140 feet
40.On Zora's map, the distance from the lake to her campground and the distance from her campground to the bird lookout are shown above.
What is the distance from the bird lookout to the lake?
A. 50 m
B. 70 m
C. 1,200 m
D. 2,500 m
Pyth.Ther3
Name:______
Row:______
41.Marc drew a large capital T on cardboard. The T is 36 inches tall, and the top of the T is 20 inches long. Mark will run a string from the bottom of the T to one end of the top. Which is closest to the length of the length of the string?
A. 20 in.
B. 37.4 in.
C. 41.2 in.
D. 56 in.
42.The drawing above represents the soccer field where the Torpedoes play their home games. The field is 100 yards long and 50 yards wide. Frank has to run on the dotted line to complete one of the plays for his team.
When he runs this play, what is the approximate distance that Frank runs?
A. 50 yd
B. 60.4 yd
C. 70.7 yd
D. 250 yd
43.What would be the length of the diagonal of the figure shown above?
A. 1 unit
B. 3.6 units
C. 5 units
D. 6 units
44.Which is closest to the length of side AC in the triangle above?
A. 2 units
B. 2.2 units
C. 3 units
D. 4 units
45.The figure above shows a parallelogram. What is the value of x?
A. 15 centimeters
B. 17 centimeters
C. 23 centimeters
D. 60 centimeters
46.Which is the best estimate of the perimeter of the shaded area in the figure above?
A. 8 units
B. 24 units
C. 30 units
D. 32 units
47.Which is closest to the perimeter of the quadrilateral shown above?
A. 22 meters
B. 24 meters
C. 27 meters
D. 29 meters
48.Tamara walked 3 km east from her house, then turned and walked 5 km south. How far is she from her house when she stops?
A. 4.47 km
B. 7.62 km
C. 10 km
D. 26 km
49.Marni’s bedroom, shown in the diagram, has a diagonal of 18 feet on the base and a height of 8 feet.
She wants to hang a pennant across the diagonal of her room from the ceiling to the floor. How long should the pennant be?
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50. Akash left his house and walked west 7 kilometers. Then he turned and walked 5 kilometers north. If he walks home by the shortest route, how far will he walk?
A. 12 km
B. 8.60 km
C. 6 km
D. 7.4 km