Free Printable Test #1 Practice

1.

Find the distance between (-12, 1) and (12, -1).

a)

24.05

b)

24.06

c)

24.07

d)

24.08

2.

Find the distance between (-5, -8) and (-1, -16).

a)

8.9

b)

9.8

c)

10.3

d)

11

3.

Find the distance between (2, -75) and (10, 235).

a)

305.5

b)

308.6

c)

310.1

d)

315.3

4.

Find the distance between (-4, 5) and (7, 18).

a)

15.96

b)

16.08

c)

16.23

d)

17.03

5.

Find the distance between (-3, -11) and (8, -42).

a)

32.1

b)

32.3

c)

32.7

d)

32.9

6.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

7.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

8.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

9.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

10.

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

a)

26

b)

6.8

c)

10

d)

7.2 km

11.

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

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

12.

Find the direct distance between the library and the town hall.

a)

26

b)

6

c)

10

d)

3

13.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

14.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

15.

A(2,0) B(-2,4) is written as

a)

$d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

b)

$d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

c)

$d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

d)

$d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

16.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

17.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

18.

Is this a right triangle?

a)

Yes

b)

No

19.

Is this a right triangle?

a)

Yes

b)

No

20.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

21.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

22.

A triangle has legs that are 7 inches and 24 inches long. How long is the hypotenuse?

a)

23

b)

26

c)

28

d)

25

23.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

24.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

25.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

26.

Sides a and b are called legs.

a)

true

b)

false

27.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

28.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

29.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

30.

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

31.

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

32.

What is the height of the cone?

Identify your parts, What do you know? A, B or C

What are you looking for? B or C?

A²+ B²= C² or C²-A²= B²

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

33.

Find the length of the missing side. #10

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

34.

Find the length of the missing side. #1

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

35.

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

36.

Find the missing side

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

37.

We are given one of the sides and the hypotenuse.

Find the length of the missing side length.

(Hint: distance from the wall to the bottom of the ladder)

a)

7

b)

5

c)

11

d)

25

38.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

39.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

40.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

41.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

42.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

43.

Find the missing length indicated. Leave your answer in simplest radical form.

a)

64

b)

12

c)

9

d)

100

44.

_{^{Find the missing side}}

a)

37

b)

17.66

c)

6

d)

312

45.

a)

The diagonal is 26 ft

b)

The diagonal is 31 ft

c)

The diagonal is 21.8 ft

d)

The diagonal is 20.9 ft

46.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

47.

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

a)

yes

b)

no

48.

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

a)

yes

b)

no

49.

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

50.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

51.

Find the height of the tree.

a)

3m

b)

2m

c)

7m

d)

9m

52.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

53.

Given these side lengths, classify the triangle.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

54.

Find the missing side

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

55.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

56.

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

57.

Given these side lengths, classify the triangle.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

58.

Given these side lengths, classify the triangle.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

59.

The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?

a)

480

b)

1960

c)

84

d)

25

60.

Fairview and Rockville are 104 km from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 km?

a)

7 cm

b)

1352 cm

c)

8 cm

d)

4 cm

61.

A car travels 420 miles in 8 hours. If the car continues at the same rate, how far will it travel in 12 hours?

a)

630 miles

b)

630 hours

c)

600 miles

d)

540 hours

62.

a)

2 hours

b)

2.5 hours

c)

4 hours

d)

4.5 hours

63.

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

64.

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

65.

In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured it to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?

a)

14.4 feet

b)

7.2 feet

c)

10 feet

d)

20 feet

66.

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

67.

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

a)

7 inches

b)

10 inches

c)

19.7 inches

d)

13.7 inches

68.

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

69.

Town A is 90 miles from Town B, and 18 miles from Town C. Town A, B, and C are forming a right triangle at A. A road connects towns B and C directly. Find the length of this road.

a)

108 miles

b)

91.8 miles

c)

88.2 miles

d)

72 miles

70.

Two sides of a right triangle are 8 and 12. Find the missing side length if 8 and 12 are legs.

a)

4.5

b)

20

c)

8.9

d)

14.4

71.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

72.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

73.

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

74.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

75.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

76.

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

77.

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

78.

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

79.

Larry attached a string from the top of the flagpole to the ground. The flagpole is 26 feet high and the string is 18 feet away from the flagpole. How long is the string?

a)

352 feet

b)

31.6 feet

c)

44 feet

d)

6.6 feet

80.

a)

The diagonal is 26 ft

b)

The diagonal is 31 ft

c)

The diagonal is 21.8 ft

d)

The diagonal is 20.9 ft

81.

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

82.

a)

F

b)

G

c)

H

d)

J

83.

Which of the following addition problems yields a sum that is a rational number?

a)

b)

c)

d)

84.

Which of the following equations is correct? Select all that apply.

a)

b)

c)

d)

e)

85.

Maddy has a square piece of craft paper that has an area of approximately $120\ in^2$ . What is a good approximation for the length of one side of her paper?

a)

11 inches

b)

16 inches

c)

8 inches

d)

6 inches

86.

Which of the following expressions are greater than 5 and less than 9? Select ALL that apply.

a)

b)

c)

d)

87.

Which of the following is closest to the approximate value of $\frac{\sqrt[]{5}}{5}$ ?

a)

1.0

b)

0.7

c)

0.4

d)

2.4

88.

Solve.

$x^2=1600$

a)

400 and -400

b)

160 and -160

c)

40 and -40

d)

800 and -800

89.

A square coffee table has an area of 196 square inches. What is the length of one side of the coffee table?

90.

Level 1

The Pythagorean Theorem works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

e)

all triangles

91.

Level 1

If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?

a)

6

b)

7

c)

3

d)

49

e)

9

92.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

93.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

94.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

95.

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

96.

The Pythagorean Theorem is

a² - b² = c²

a)

false

b)

true

97.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

98.

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

a)

Yes

b)

No

99.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

100.

Sides a and b are called legs.

a)

true

b)

false

101.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

102.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

103.

Find the distance between the 2 points. Round to the nearest hundredth.

a)

3

b)

2.23

c)

2.24

d)

2.2

104.

Find the distance between the points.

a)

3

b)

4

c)

5

d)

6

105.

Determine the length of the line between C(-5,6) and D(-2, 1)

a)

$\sqrt{74}$

b)

8.6

c)

$\sqrt{33}$

d)

5.8

106.

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

a)

yes

b)

no

107.

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

a)

yes

b)

no

108.

If a = 9 and b = 7, what is c?

a)

130

b)

12.4

c)

11.4

d)

11

109.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

Test #1 Practice

Total questions: 109

Worksheet time: 7hrs 10mins

Similar Resources on Wayground