Free Printable Unit 3 REVIEW

1.

Which of the following is a perfect square?

a)

39

b)

50

c)

6

d)

81

2.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

3.

14²is called ________

a)

14 cubed

b)

14 squared

c)

14 to the 14th power

d)

28

4.

17² =

a)

34

b)

289

c)

225

d)

324

5.

What is the Square Root of 289?

a)

17

b)

16

c)

15

d)

18

6.

True or False? A perfect square is when a whole number is multiplied by itself.

a)

FALSE

b)

TRUE

7.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

361

d)

198

8.

500 is a perfect square..true or false?

a)

True

b)

False

9.

14²=

a)

169

b)

196

c)

28

d)

144

10.

Which grids represent a perfect square?

a)

b)

c)

d)

e)

11.

Mr. Clark is building a garden outside of Byron Southwood. He has enough fertilizer to cover 121 square feet. If Mr. Clark wants to make a square garden, what should the length of each side be?

a)

12ft

b)

121ft

c)

11ft

d)

13ft

12.

Which contains a list of perfect squares? (Remember to write down how you know on your scrap piece of paper to be handed in).

a)

20, 24, 36, 48

b)

25, 36, 49, 64

c)

34, 48, 64, 81

d)

36, 49, 62, 84

13.

How would you write 100000 in exponential form?

a)

10⁵

b)

10⁶

c)

10⁷

d)

10⁴

14.

What does the exponent tell you to do with the base?

a)

subtract by itself that number of times

b)

divide by itself that number of times

c)

add by itself that number of times

d)

multiply by itself that number of times

15.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

16.

2⁵ is the same as 2 x 5.

a)

True

b)

False

17.

A chest has 10 containers. Each container has 10 boxes. Each box has 10 bottles. Each bottle has 10 dimes.

a) What is the power to describe the total number of dimes, and

b) What is the value of the money in the chest?

a)

10⁴ with a value of $10 000

b)

10⁴ with a value of $1000

c)

10³ with a value of $10 000

d)

10³ with a value of $1000

18.

What is the square root of 25?

a)

5

b)

12

c)

3

d)

6

19.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

20.

Which would be the next number in the pattern?
36, 49, 64, 81 __

a)

82

b)

18

c)

64

d)

100

21.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

22.

If I know the area of a square, how do I find the side length?

a)

I square the area.

b)

I divide the area by 2.

c)

I take the square root of the area.

d)

I divide the area by 4.

23.

What is the side length of a square that has an area of 36?

a)

9

b)

18

c)

6

d)

1296

24.

Which of the following in NOT a perfect square?

a)

49

b)

81

c)

111

d)

144

25.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

26.

What would be the side length if you used 49 tiles to create a perfect square?

a)

7 tiles

b)

14 tiles

c)

4 tiles wide and 9 tiles long

d)

3.5 tiles

27.

What is the formula for area?

(a)

28.

If Lucy's square garden has a total perimeter of 12ft, how big is the inside (area) part of the garden?

a)

9ft²

b)

3ft²

c)

36ft²

d)

12ft²

29.

$\sqrt{144}$

a)

12

b)

100

c)

11

d)

13

30.

All sides of a square are (a)

31.

You divide the area by 2 to figure out the side of a square.

a)

True

b)

False

32.

Which perfect square is being shown?

a)

6

b)

7

c)

36

d)

49

33.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

34.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

35.

Level 3: Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 6

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

36.

Level 3: Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

37.

Level 3: Estimate the square root.

a)

Between 7 and 8 and closer to 8

b)

Between 8 and 9 and closer to 9

c)

Between 9 and 10 and closer to 9

d)

Between 9 and 19 and closer to 10

38.

Level 3: Which point best represents √47?

a)

A

b)

D

c)

E

d)

F

39.

Level 2

Identify the letter that best estimates the following square root on the following number line.

√156

a)

d

b)

b

c)

c

d)

e

40.

Level 4

Order from least to greatest.

a)

√45, 9, 6, √63

b)

6, √45, √63, 9

c)

6, √45, 9, √63

d)

√45, √63, 6, 9

41.

Between which two whole numbers is the
√20 ?

a)

5 and 6

b)

10 and 2

c)

4 and 5

d)

3 and 4

42.

Which is the best estimate of the of √3?

a)

1

b)

2

c)

1 ⅔

d)

2 ⅔

43.

Find the best estimate for √18 .
Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

44.

Level 4: Estimate the square root to the nearest tenth.

a)

1.7

b)

1.6

c)

1.8

d)

1.9

45.

Which point best represents √47?

a)

A

b)

D

c)

E

d)

F

46.

a)

A

b)

B

c)

C

d)

D

47.

a)

A

b)

B

c)

C

d)

D

48.

a)

1 AND 2

b)

2 AND 3

c)

3 AND 4

d)

4 AND 5

49.

a)

11 AND 12

b)

-11 AND 12

c)

-12 AND -13

d)

12 AND 13

50.

DRAW A PICTURE

a)

15 in

b)

5.5 in

c)

6

d)

5

51.

a)

a

b)

b

c)

c

d)

d

52.

a)

a

b)

b

c)

c

d)

d

53.

a)

a

b)

b

c)

c

d)

d

54.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

55.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

56.

Between which two whole numbers is the

√20 ?

a)

5 and 6

b)

10 and 2

c)

4 and 5

d)

3 and 4

57.

The square root of 99 falls between which two consecutive whole numbers?

a)

7 and 8

b)

8 and 9

c)

10 and 11

d)

9 and 10

58.

Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

59.

Estimate the square root.

a)

Between 1 and 2 and closer to 1

b)

Between 1 and 2 and closer to 2

c)

Between 2 and 3 and closer to 2

d)

Between 2 and 3 and closer to 3

60.

Between what two numbers can the square root of 8 be found?

a)

Between 1 and 2 and closer to 1

b)

Between 1 and 2 and closer to 2

c)

Between 2 and 3 and closer to 2

d)

Between 2 and 3 and closer to 3

61.

In between what two integers is the square root of 30?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

62.

The square root of 59 falls between which two consecutive whole numbers?

a)

7 and 8

b)

8 and 9

c)

10 and 11

d)

9 and 10

63.

Which square root would come between 10 and 11 on a number line?

a)

√ 98

b)

√ 128

c)

√ 118

d)

√ 81

64.

Which square root would come between 11 and 12 on a number line?

a)

√ 120

b)

√ 128

c)

√ 145

d)

√ 100

65.

What decimal would NOT come between √ 144 and √ 169 on a number line?

a)

12.1

b)

12.4

c)

12.7

d)

13.2

66.

What square root would come between 13 and 14 on a number line?

a)

√ 166

b)

√ 172

c)

√ 199

d)

√ 200

67.

What square root would come between 14 and 15 on a number line, but closer to 15?

a)

√ 169

b)

√ 199

c)

√ 215

d)

√ 230

68.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

69.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

70.

you ADD a² and b² then take the square root to find c on a right triangle.

a)

true

b)

false

71.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

72.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

73.

Side a on a right triangle is ALWAYS the longest side.

a)

true

b)

false

74.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

75.

4² = ?

a)

9

b)

14

c)

16

d)

18

76.

9² = ?

a)

81

b)

90

c)

99

d)

72

77.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

78.

The legs form what type of angle?

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right

79.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

80.

?

a)

6

b)

7

c)

8

d)

9

81.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

82.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

83.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

84.

Find the length of the missing side. (Calculators are allowed)

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

85.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

86.

Use Pythagorean Theorem to find one of the legs would be like
$a^2=c^2-b^2\ or\ a\ =\sqrt{c^2-b^2}$

a)

false

b)

true

87.

Find the missing side. (Calculators are allowed)

a)

9

b)

41

c)

6.4

d)

3

88.

what is the formula for finding the hypotnuse?

a)

a²+ b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c²-a²=b

89.

Find the length of the missing side. (Calculators are allowed)

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

90.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

91.

Find the missing side. (Calculators are allowed)

a)

48

b)

108

c)

83.6

d)

72

92.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

93.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled? (Calculators are allowed)

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

94.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

95.

What is the side of a right triangle across from the right angle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

96.

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

a)

yes

b)

no

97.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

98.

_{^{Find the missing side}}

a)

37

b)

17.66

c)

6

d)

312

99.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

a)

5

b)

7

c)

10

d)

12

100.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

101.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)

14

b)

10

c)

5.3

d)

2

102.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

103.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

104.

Find the length of the missing side. (Calculators are allowed)

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

105.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

106.

Use Pythagorean Theorem to find one of the legs would be like
$a^2=c^2-b^2\ or\ a\ =\sqrt{c^2-b^2}$

a)

false

b)

true

107.

Find the missing side. (Calculators are allowed)

a)

9

b)

41

c)

6.4

d)

3

108.

what is the formula for finding the hypotnuse?

a)

a²+ b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c²-a²=b

109.

Find the length of the missing side. (Calculators are allowed)

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

110.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

111.

Find the missing side. (Calculators are allowed)

a)

48

b)

108

c)

83.6

d)

72

112.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

113.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled? (Calculators are allowed)

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

114.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

115.

What is the side of a right triangle across from the right angle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

116.

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

a)

yes

b)

no

117.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

118.

_{^{Find the missing side}}

a)

37

b)

17.66

c)

6

d)

312

119.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

a)

5

b)

7

c)

10

d)

12

120.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

121.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)

14

b)

10

c)

5.3

d)

2

122.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

123.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

124.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

125.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

126.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

127.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)

14

b)

10

c)

5.3

d)

2

128.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

129.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

130.

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

131.

To get from one side of the pond to the other you must walk 34 meters south and 41 meters east. To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.

a)

53

b)

22

c)

75

d)

9

132.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

133.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

134.

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

a)

18

b)

6.7

135.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

136.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)

14

b)

10

c)

5.3

d)

2

137.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

138.

Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?

a)

60 feet

b)

20 feet

c)

180 feet

139.

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

a)

44.1 km

b)

59 km

c)

47.8 km

d)

33 km

140.

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance back to their starting point to the nearest tenth of a mile?

a)

13

b)

9.4

c)

6.2

d)

9

141.

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

a)

65 miles

b)

89 miles

c)

45.4 miles

d)

We don't have enough information.

Unit 3 REVIEW

Total questions: 141

Worksheet time: 16hrs 30mins

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