Free Printable Unit 10 Pythagorean Thm and Irrationals

1.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

2.

What is the length of the missing side? *NOTE: side lengths of 10 and 12.

a)

15.6

b)

6.6

c)

44

d)

16

3.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

4.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

5.

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

6.

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

7.

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

8.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

9.

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

a)

true

b)

false

10.

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

a)

true

b)

false

11.

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

a)

true

b)

false

12.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

13.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

14.

a)

The top of the ladder is 8.9 ft from the ground

b)

The top of the ladder is 9.2 ft from the ground

c)

The top of the ladder is 16.5 ft from the ground

d)

The top o the ladder is 14.4 ft from the ground

15.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

16.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

17.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

18.

_{^{Find the missing side}}

a)

√29.2

b)

√400

c)

√20

d)

√10

19.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

20.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

21.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

22.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

23.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

24.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

25.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

26.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

27.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

28.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

29.

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

30.

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

31.

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

32.

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

33.

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

34.

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

35.

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

36.

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

37.

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

38.

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

39.

Determine whether $\pi$ is rational or irrational.

a)

Rational

b)

Irrational

40.

Which of the following numbers is rational?

a)

$\sqrt{7}$

b)

$\frac{2}{3}$

c)

3.1456289...

d)

$\pi$

41.

Which of the following numbers is not rational?

a)

$-3$

b)

$2.7$

c)

$\sqrt{4}$

d)

$\sqrt{5}$

42.

Select ALL numbers that are irrational.

a)

10

b)

-21

c)

$\pi$

d)

$\frac{10}{2}$

e)

$\sqrt{10}$

43.

Determine which of the following examples is irrational.

a)

A fraction whose denominator is larger than its numerator

b)

A decimal that never ends but repeats

c)

A perfect cube root

d)

A decimal that never ends and never repeats

44.

Which of the following number is rational?

a)

$\sqrt{127}$

b)

$\pi$

c)

$2.5$

d)

$8.98763...$

45.

What kind of number is -3?

a)

rational

b)

irrational

c)

whole

d)

natural

46.

Which number is an integer?

a)

-1/2

b)

0.2

c)

3/4

d)

-2

47.

The following set of numbers are called what?
{0, 1, 2, 3....}

a)

Whole numbers

b)

Integers

c)

Plain Numbers

d)

Irrational numbers

48.

A REPEATING decimal is what type of number?

a)

Rational

b)

Irrational

49.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

50.

Which of the following contains only rational numbers?

a)

2.5, .764567..., 1/2, √27

b)

π, √4, √16, 7.7

c)

6.7, 4.45, -3,

d)

5, -4.5, √13, √-9

51.

What type of number is π ?

a)

Rational

b)

Irrational

52.

A fraction is which type of number?

a)

Rational

b)

Irrational

53.

Classify the following:
$\sqrt{64}$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

54.

Classify the following:

$\frac{3}{4}$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

55.

Classify the following:

$\sqrt{2}$

a)

Rational

b)

Irrational

c)

Both

d)

Um...

56.

Classify the following:
$-17$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

57.

Classify the following:

$-96.\overline{33}$

a)

Rational

b)

Irrational

c)

Both

58.

Classify the following:

$0.525$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

59.

Which of the following numbers IS NOT rational?

a)

$-3$

b)

$2.7$

c)

$\sqrt{4}$

d)

$\sqrt{5}$

60.

Which of the following number is rational?

a)

$\sqrt{127}$

b)

$\pi$

c)

$2.5$

d)

$8.98763...$

61.

Classify the following:

0

a)

rational

b)

irrational

62.

Which of the following is an irrational number?

a)

0.333

b)

$\sqrt{8}$

c)

$\sqrt{49}$

d)

$\frac{5}{22}$

Unit 10 Pythagorean Thm and Irrationals

Total questions: 62

Worksheet time: 2hrs 33mins

Similar Resources on Wayground