Free Printable BIG Pythagorean Theorem Review for buzzers

1.

Two LEGS are 9 and 12. What is the hypotenuse?

a)

14

b)

15

c)

17

d)

18

2.

If each square is one mile, how many miles is it from the mall to the movies?

a)

3.6 miles

b)

2.4 miles

c)

3.3 miles

d)

4 miles

3.

Look at the model of the Pythagorean Theorem. What is the length of the side of the large green square?

a)

14 cm

b)

15 cm

c)

16 cm

d)

13 cm

4.

The leg of a triangle is 24 and its hypotenuse is 25. What is the length of its other leg?

a)

5

b)

12

c)

8

d)

7

5.

A model of the Pythagorean Theorem is shown. Which statement is true?

a)

If you add the areas of regions R and P they will add to the area of region Q

b)

If you add areas of regions R and Q they will add to the area of region P

c)

If you subtract the areas of regions Q and R they will make the area of region P

6.

Will the sides 29, 21, and 20 form a right triangle?

a)

yes

b)

no

7.

Two LEGS are 9 and 12. What is the hypotenuse?

a)

14

b)

15

c)

17

d)

18

8.

If each square is one mile, how many miles is it from the mall to the movies?

a)

3.6 miles

b)

2.4 miles

c)

3.3 miles

d)

4 miles

9.

Look at the model of the Pythagorean Theorem. What is the length of the side of the large green square?

a)

14 cm

b)

15 cm

c)

16 cm

d)

13 cm

10.

The leg of a triangle is 24 and its hypotenuse is 25. What is the length of its other leg?

a)

5

b)

12

c)

8

d)

7

11.

A model of the Pythagorean Theorem is shown. Which statement is true?

a)

If you add the areas of regions R and P they will add to the area of region Q

b)

If you add areas of regions R and Q they will add to the area of region P

c)

If you subtract the areas of regions Q and R they will make the area of region P

12.

Will the sides 29, 21, and 20 form a right triangle?

a)

yes

b)

no

13.

A right triangle has a hypotenuse of 25 and a leg of 15. What is the length of the other leg?

a)

20

b)

10

c)

12

d)

16

14.

Two legs of a right triangle are 20 and 21. What is the hypotenuse?

a)

28

b)

29

c)

30

d)

27

15.

If the hypotenuse of a right triangle is 50 and the leg is 14, what is the length of the other leg?

a)

48

b)

46

c)

45

d)

42

16.

Will the sides 36, 85 and 77 make a right triangle?

a)

yes

b)

no

17.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

18.

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

19.

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

20.

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

21.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

22.

The legs form what type of angle?

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right

23.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

24.

What is the formula for finding the hypotenuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

25.

Solve for the walkway length

a)

30

b)

40

c)

58

d)

35

26.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

27.

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

a)

square

b)

arm

c)

leg

d)

hypotenuse

28.

Which of the following sentences would belong in the proof that describes this image?

a)

The sum of the areas of the two smaller squares is equal to the area of the large square.

b)

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

c)

The difference of the areas of the two smaller squares is equal to the area of the large square.

d)

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

29.

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

a)

5

b)

7

c)

10

d)

12

30.

To use the Pythagorean Theorem, the triangle MUST be what kind of triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

31.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

32.

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

33.

Find the distance between these 2 points.

a)

5.8

b)

6.3

c)

8.1

d)

40

34.

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

35.

What is the hypotenuse of a right triangle if the two legs measure 4 in and 5 in?

a)

√⁴¹

b)

3

c)

2√3

d)

2√41

36.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

37.

solve for c

a)

7

b)

9

c)

4

d)

13

38.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

39.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

40.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

Not enough information

41.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

42.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

43.

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

44.

What is the length of the rectangular plot of land?

a)

192 ft

b)

409.8 ft

c)

36,864 ft

d)

8 ft

45.

Find the distance between P and Q.

a)

5 units

b)

4 units

c)

2.6 units

d)

3 units

46.

Find the distance between P and R.

a)

9.2 units

b)

3.6 units

c)

85 units

d)

13 units

47.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

48.

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

49.

What is the area of the third square?

a)

6.7 cm²

b)

33.5 cm²

c)

2025 cm²

d)

45 cm²

50.

What is the length of the hypotenuse?

a)

33.5 cm

b)

45 cm

c)

6.7 cm

d)

15 cm

51.

How far does the catcher throw the ball from home plate to 2nd base?

a)

63.6 ft

b)

16,129 ft

c)

13.4 ft

d)

127.3 ft

52.

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

a)

12 in²

b)

144 in²

c)

194 in²

d)

13.9 in²

53.

Find the direct distance between the court house and the town hall.

a)

26

b)

6.8

c)

10

d)

7.2 km

54.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

55.

Sides a and b are called legs.

a)

true

b)

false

56.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

57.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

58.

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

59.

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

60.

you ADD a² and c² then take the square root to find b on a right triangle.

a)

true

b)

false

61.

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

a)

true

b)

false

62.

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

a)

true

b)

false

63.

What is the length of the rectangular plot of land?

a)

192 ft

b)

409.8 ft

c)

36,864 ft

d)

8 ft

64.

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

65.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

66.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

Not enough information

67.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

68.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

69.

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

70.

What is the length of the rectangular plot of land?

a)

192 ft

b)

409.8 ft

c)

36,864 ft

d)

8 ft

71.

Find the distance between P and Q.

a)

5 units

b)

4 units

c)

2.6 units

d)

3 units

72.

Find the distance between P and R.

a)

9.2 units

b)

3.6 units

c)

85 units

d)

13 units

73.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

74.

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

75.

What is the area of the third square?

a)

6.7 cm²

b)

33.5 cm²

c)

2025 cm²

d)

45 cm²

76.

What is the length of the hypotenuse?

a)

33.5 cm

b)

45 cm

c)

6.7 cm

d)

15 cm

77.

How far does the catcher throw the ball from home plate to 2nd base?

a)

63.6 ft

b)

16,129 ft

c)

13.4 ft

d)

127.3 ft

78.

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

a)

12 in²

b)

144 in²

c)

194 in²

d)

13.9 in²

79.

Find the direct distance between the court house and the town hall.

a)

26

b)

6.8

c)

10

d)

7.2 km

80.

The Pythagorean Theorem is (a) (b) (c) (d) (e)

Choose from the below words

$a^2$

$+$

$b^2$

$=$

$c^2$

$x^2$

$-$

$\times$

$\div$

81.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

82.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

83.

The Pythagorean Theorem is (a) (b) (c) (d) (e)

Choose from the below words

$a^2$

$+$

$b^2$

$=$

$c^2$

$x^2$

$-$

$\times$

$\div$

84.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

85.

Hypotenuse

a)

Vertical side in a right triangle

b)

Longest side in a right triangle

c)

Horizontal side in a right triangle

d)

a²+ b²= c²

86.

Which choice represents the legs?

a)

a and b

b)

a

c)

b

d)

c

87.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

88.

The Pythagorean Theorem is

a² - b² = c²

a)

false

b)

true

89.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

90.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

91.

Side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

92.

If you are solving to find a missing leg, should you add or subtract?

a)

Add

b)

Subtract

93.

If you are solving to find a missing hypotenuse, should you add or subtract?

a)

Add

b)

Subtract

94.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

95.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

96.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

97.

Which equation is modeled by the picture shown?

a)

3²+5²=4²

b)

3²+4²=5²

c)

5²+4²=3²

d)

9²+16²=25²

98.

What is the area of the third square?

a)

6.7 cm²

b)

33.5 cm²

c)

2025 cm²

d)

45 cm²

99.

What is the length of the hypotenuse?

a)

33.5 cm

b)

45 cm

c)

6.7 cm

d)

15 cm

100.

If a = 5 cm and b = 12 cm, what is the area of the c squared?

a)

13 cm²

b)

169 cm²

c)

119 cm²

d)

10.9 cm²

101.

If the area of c squared is 289 cm² and the length of a is 8 cm, what is the length of b?

a)

15 cm

b)

9 cm

c)

16.8 cm

d)

18.8 cm

102.

If the area of c squared is 225 cm² and the length of b is 12 cm, what is the length of a?

a)

8 cm

b)

19.2 cm

c)

9 cm

d)

14.6 cm

103.

How far does the catcher throw the ball from home plate to 2nd base?

a)

63.6 ft

b)

16,129 ft

c)

13.4 ft

d)

127.3 ft

104.

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

a)

12 in²

b)

144 in²

c)

194 in²

d)

13.9 in²

105.

If c² is 625 cm² and b is 24 cm, what is the length of a?

a)

25.4 cm

b)

24.5 cm

c)

7 cm

d)

26 cm

106.

If 231 square feet of paint was used to paint the two squares blue, how much paint would be needed to paint the white square purple?

a)

15.2 ft²

b)

115.5 ft²

c)

231 ft²

d)

10.7 ft²

107.

If the area of square a is 45 in²and the area of square b is 65 in², what is the area of square c?

a)

20 in²

b)

100 in²

c)

79.1 in²

d)

110 in²

108.

If the area of square b is 144 ft² and the length of side a is 5 ft, what is the area of square c?

a)

169 ft²

b)

13 ft²

c)

12.2 ft²

d)

10.9 ft²

109.

If the area of square c is 1,369 cm² and the area of square b is 1,225 cm², what is the length of one side of square a?

a)

12 cm

b)

144 cm

c)

50.9 cm

d)

8.5 cm

110.

If a = 5 and b = 7, what is the area of square c?

a)

74

b)

8.6

c)

12

d)

6241

111.

What is the area of square b in the figure shown?

a)

24 in²

b)

96.6 in²

c)

74 in²

d)

576 in²

112.

What is the length of the three sides of the right triangle shown?

a)

10,26,36

b)

10,24,26

c)

26,96,100

d)

10,26,28

113.

What is the formula for Pythagorean theorem?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

114.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

115.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

116.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

117.

What are the 2 shorter sides of a right triangle called?

a)

Hypotenuse

b)

Pythagorean Theorem

c)

Legs

d)

Right triangle

118.

Do these 3 side lengths form a right triangle?
13, 80, and 81?

a)

yes

b)

no

119.

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

a)

yes

b)

no

120.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

yes

b)

no

121.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

122.

Is this triangle a right triangle?

a)

yes

b)

no

123.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

124.

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

125.

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

126.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

127.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

128.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

129.

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.

130.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

$17^2+8^2=b^2$

b)

$8^2+b^2=17^2$

c)

$17^2+b^2=8^2$

d)

$\frac{8^2}{b^2}=\frac{17^2}{100}$

131.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

132.

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

133.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

BIG Pythagorean Theorem Review for buzzers

Total questions: 133

Worksheet time: 13hrs 48mins

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