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Roots1
NAME:__________________
Row:_________
1. Between which two whole numbers is
the square root of 70?
A.
B.
C.
D.
7 and 8
8 and 9
9 and 10
10 and 11
5. Which is an irrational number?
3. Which point on the number line best
represents √54?
A.
B.
C.
D.
Point A
Point B
Point C
Point D
6. Which is an irrational number?
2. Which point on the number line best
represents √10?
A.
B.
C.
D.
Point K
Point L
Point M
Point N
4. Phillipe needs to find the square root of
2 in order to complete his science
experiment. Which is closest to the √2?
A.
B.
C.
D.
1
1.4
1.75
1.9
A.
B.
C.
D.
−5
0.67676767…
15/7
√18
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7. Which is an irrational number?
9. The value of √14 is best approximated
by which of the following?
A.
B.
C.
D.
3.1
3.5
3.7
A number between 3 and 4.
10. Which 2 whole numbers would you
estimate that √137 is between?
8. On a number line, between which two
numbers would you find the value of π?
A.
B.
C.
D.
0 and 1
1 and 2
2 and 3
3 and 4
A.
B.
C.
D.
8 and 9
10 and 11
11 and 12
13 and 14
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Roots2
NAME:__________________
ROW:______________
11. Between which consecutive whole
numbers does √35 fall?
A.
B.
C.
D.
3 and 4
5 and 6
7 and 8
9 and 10
12. Which of the following is not a
perfect square?
A.
B.
C.
D.
49
84
121
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.
B.
C.
D.
18 ft
9 ft
4.5 ft
3 ft
14. √40 is between what two integers?
A.
B.
C.
D.
E.
2 and 3
3 and 4
4 and 5
5 and 6
6 and 7
15. You may not use a calculator on
this question.
What is the value of √81 + √100?
A.
B.
C.
D.
9
10
19
91
16. The area of a square is 36 cm2. What
are the lengths of the sides of the square?
A.
B.
C.
D.
−6 cm
6 cm
8 cm
24 cm
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17. The area of a square is 121 square
inches. What is the length of one side of
the square?
A.
B.
C.
D.
−11 inches
5.5 inches
11 inches
44 inches
18.
√64 + √100 =
A.
B.
C.
D.
2
18
108
164
Trujillo
19. To the nearest hundredth, what is the
value of 1/2 × 0.47?
A.
B.
C.
D.
20 Use mental math to estimate which
point represents 3 .
0.01
0.09
0.23
0.24
A.
B.
C.
D.
Point A
Point B
Point C
Point D
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Row:______________________
Trujillo
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.
B.
C.
D.
2 feet
4 feet
8 feet
16 feet
21. What is the perimeter of the triangle
shown in the figure above?
A.
B.
C.
D.
17 centimeters
28 centimeters
40 centimeters
60 centimeters
22. A square has side lengths of 6 inches.
About how long is the diagonal of the
square?
A.
B.
C.
D.
3.5 inches
6 inches
8.5 inches
18 inches
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.
B.
C.
D.
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.
B.
C.
D.
E.
12 in.
16 in.
20 in.
24 in.
28 in.
5 ft
7 ft
14 ft
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.
B.
C.
D.
E.
4 in.
6 in.
7 in.
8 in.
12 in.
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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.
B.
C.
D.
E.
4 in.
6 in.
7 in.
9 in.
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?
Fill in the bubbles in the boxes below. Be
sure to use the correct place value.
.
0
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
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?
29. How long is the wire from the top
of the pole to the ground in the picture
above?
A.
B.
C.
D.
15 ft
17 ft
18 ft
23 ft
A.
B.
C.
D.
13
119
169
196
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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.
B.
C.
D.
15 ft
17 ft
18 ft
23 ft
.
32. Which line segment is the hypotenuse
of triangle ABC?
A.
B.
C.
D.
line segment AC
line segment BC
line segment CA
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.
B.
C.
D.
9.2 ft
10.8 ft
11.4 ft
12.2 ft
34. Look at the figures.
Which of these figures could NOT
demonstrate the Pythagorean theorem,
where a2 + b2 = c2?
A.
B.
C.
D.
Figure 1
Figure 2
Figure 3
Figure 4
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35. Which
measurement shown
could NOT be
determined by using the
Pythagorean theorem?
A.
B.
C.
D.
A
B
C
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.
B.
C.
D.
4 feet
6 feet
8 feet
16 feet
Trujillo
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.
B.
C.
D.
12 inches
16 inches
20 inches
28 inches
38. A sign broke during a storm. The diagram
shows how it fell. What was the original
height of the sign?
A.
B.
C.
D.
10 ft
14 ft
18 ft
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.
B.
C.
D.
5 feet
17 feet
24 feet
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.
B.
C.
D.
50 m
70 m
1,200 m
2,500 m
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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.
B.
C.
D.
20 in.
37.4 in.
41.2 in.
56 in.
43. What would be the length of the diagonal
of the figure shown above?
A.
B.
C.
D.
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.
B.
C.
D.
50 yd
60.4 yd
70.7 yd
250 yd
1 unit
3.6 units
5 units
6 units
44. Which is closest to the length of side AC
in the triangle above?
A.
B.
C.
D.
2 units
2.2 units
3 units
4 units
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47. Which is closest to the perimeter of the
quadrilateral shown above?
45. The figure above shows a parallelogram.
What is the value of x?
A.
B.
C.
D.
15 centimeters
17 centimeters
23 centimeters
60 centimeters
A.
B.
C.
D.
22 meters
24 meters
27 meters
29 meters
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?
Fill in the bubbles in the boxes below. Be
sure to use the correct place value.
.
0
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
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?
46. Which is the best estimate of the
perimeter of the shaded area in the figure
above?
A.
B.
C.
D.
8 units
24 units
30 units
32 units
A.
B.
C.
D.
4.47 km
7.62 km
10 km
26 km
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.
B.
C.
D.
12 km
8.60 km
6 km
7.4 km