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Worksheets

Perimeter

Total questions: 86

Worksheet time: 3hrs 5mins

Name
Class
Date
1.

What is the perimeter of this square?

a)

3 units

b)

6 units

c)

9 units

d)

12 units

2.

What's the perimeter of this triangle?

a)

10 cm

b)

11 cm

c)

12 cm

d)

13 cm

3.

What's the perimeter of this triangle?

a)

18 inches

b)

18 feet

c)

18 cm

4.

What is the perimeter of this pentagon?

a)

15 units

b)

12 units

c)

9 units

d)

6 units

5.

What is the perimeter of this shape?

a)

11 inches

b)

22inches

6.

What's the perimeter of this rectangle?

a)

26 cm

b)

27 cm

c)

28 cm

7.

What is the area of this shape?

a)

8 square units

b)

15 square units

c)

14 square units

d)

20 square units

8.

What is the area of this shape?

a)

5 square units

b)

20 square units

c)

15 square units

d)

25 square units

9.

What is the area of this shape?

a)

10 square inches

b)

20 inches

c)

25 square inches

d)

25 inches

10.

What is the area of this shape?

a)

11 inches

b)

11 square inches

c)

28 inches

d)

28 square inches

11.

What is the area of this shape?

a)

11 cm

b)

11 square cm

c)

24 cm

d)

24 square cm

12.

Study the cube. The volume is ______ cubic units.

a)

9

b)

15

c)

18

d)

21

13.

What is the total volume of the two boxes?

(a)  

14.

How long is the hypotenuse of this triangle?

(a)  

15.

Is this a right triangle?

a)

Yes

b)

No

16.

Is this a right triangle?

a)

Yes

b)

No

17.

Is this a right triangle?

a)

Yes

b)

No

18.

Is a triangle with side lengths of 12, 9, and 15 a right triangle?

a)

Yes

b)

No

19.

Is a triangle with side lengths of 7, 4, and 4 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.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

24.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

25.

What side(s) will always be the shortest on a right triangle?


Select all that apply

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

26.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
27.

What is the relationship between the sides in the Pythagorean Theorem shown?


Hint: Think about when the hypotenuse is missing!

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 – b2 = c2

d)

a – b = c

28.
Do three squares with side lengths of 6, 12, and 13 form a right triangle?
a)
Yes
b)
No
29.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41
30.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
31.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
a)
yes
b)
no
32.

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

a)
yes
b)
no
33.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
a)
yes 
b)
no
34.
Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.
a)
No, because 10+11 does not equal 13
b)
No, because 100+121 does not equal 169
c)
Yes, because there is a small side, medium side and long side
d)
Yes, because a triangle has 3 sides
35.

Which step should be solved first in the following equation?

[8(12÷3)+2]×4\left[8-\left(12\div3\right)+2\right]\times4

a)

13+913+9

b)

12÷312\div3

c)

3+23+2

d)

2×42\times4

36.

What is the value of this expression?

50(3×5)+(2×4)50-\left(3\times5\right)+\left(2\times4\right)

(a)  

37.

What value is equivalent to this expression?

207×2+(12÷3)20-7\times2+\left(12\div3\right)

a)

7878

b)

3030

c)

1010

d)

33

38.

James wants to save money to buy two new games. He had $35 from his birthday, and he saved $5.20 each week from doing chores. The amount of money that each game costs is represented by the expression below.

[35+4(5.20)]÷2\left[35+4\left(5.20\right)\right]\div2



(a)  

39.

What is the value of the following expression?

56[13+29]\frac{5}{6}-\left[\frac{1}{3}+\frac{2}{9}\right]

a)

1118\frac{11}{18}

b)

518\frac{5}{18}

c)

1318\frac{13}{18}

d)

418\frac{4}{18}

40.

Which statement is true about the parentheses in this expression?

5[(14+5)3×2]5[(14+5)-3\times2]

a)

The parentheses indicate that 3x2 should be solved first

b)

The parentheses indicate that 14+5 should be last

c)

The parentheses indicate that 14+5 should be solved after 3x2

d)

The parentheses indicate that 14+5 should be solved before 3x2

41.

Brianna is baking some cookies. She used 12\frac{1}{2} a cup of flour in her first batch. She then makes 3 more batches with 2 cups of flour each. The total amount of flour that Brianna used can be found using the expression below.

12+(3×2)\frac{1}{2}+\left(3\times2\right)

How much flour did Brianna use?

a)

6126\frac{1}{2} cups

b)

4124\frac{1}{2} cups

c)

7127\frac{1}{2} cups

d)

66 cups

42.

Which statement is true about the parentheses in this expression?

36 ÷(2×2)+2036\ \div(2\times2)+20

a)

The parentheses indicate that 36÷236\div2 should be solved first

b)

The parentheses indicate that

2+202+20 should be solved first

c)

The parentheses indicate that 2×22\times2 should be solved first

d)

The parentheses indicate that 2×22\times2 should be solved last

43.

Priscilla is packing up her books because she is moving:

~She packs 12 boxes, each with 10 books

~She donated 35 books to the library

~She was given 7 books for her birthday

Which expression can be used to show how many books Priscilla has?

a)

[(12x10)-35]+7

b)

12x10-35-5

c)

(12x10)-(35+7)

d)

(12+10)-35+7

44.

Kevin took $30 to the candy store. He bought three bags of candy for $1.50 each and a tub of cotton candy for $2.60. The amount of change that Kevin receives can be represented using the expression below.

30[(3×1.50)+2.60]30-\left[\left(3\times1.50\right)+2.60\right]

What is amount of change that Kevin received in dollars and cents?

(a)  

45.

Which step in the expression should be solved first?

13[7.9+4(2.3)]13\left[7.9+4\left(2.3\right)\right]

a)

13×7.913\times7.9

b)

4(2.3)4\left(2.3\right)

c)

7.9+47.9+4

d)

None of the above

46.

Place the operations in order of how you would solve the following equation:

7 x [9 - (6+2)]

​ ​ (a)   ​ (b)   ​ (c)  

Choose from the below words
Add
Subtract
Multiply
Divide
47.

Place the operations in order of how you would solve the following equation:

(9-5) + (2x3)

​ (a)   ​ (b)   ​ ​ ​ ​ (c)  

Choose from the below words
Subtract
Multiply
Add
Divide
48.

Reorder the operations into the order of operations steps

a)

Parentheses

b)

Exponets

c)

Multiply/Divide (Left to right)

d)

Add/Subtract (Left to right)

1)
2)
3)
4)
49.

What is the value of the following expression?

12+[3428]\frac{1}{2}+\left[\frac{3}{4}-\frac{2}{8}\right]

a)

22

b)

58\frac{5}{8}

c)

48\frac{4}{8}

d)

11

50.

Solve the equation:

4×6.804\times6.80

a)

27.20

b)

28.30

c)

27.80

d)

24.20

51.

Solve the equation:

7×5.957\times5.95

(a)  

52.

Solve the equation:

1216\frac{1}{2}-\frac{1}{6}

a)

46\frac{4}{6}

b)

412\frac{4}{12}

c)

13\frac{1}{3}

d)

36\frac{3}{6}

53.

Solve the equation:

13+14\frac{1}{3}+\frac{1}{4}

a)

724\frac{7}{24}

b)

412\frac{4}{12}

c)

112\frac{1}{12}

d)

712\frac{7}{12}

54.

What is the order of the steps for the following expression?

50- 16 x 2 ÷ (12-4)

a)

Subtraction

Multiplication

Division

Parentheses

b)

Parentheses

Multiplication

Division

Subtraction

c)

Parentheses

Subtraction

Multiplication

Division

d)

Multiplication

Division

Subtraction

Parentheses

55.

Identify the base:

434^3  



(a)  

56.

Identify the exponent:  434^3  



(a)  

57.

Identify the exponent:  525^2  



(a)  

58.

Simplify (evaluate):

3-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

59.

Write this expression using positive exponent:

x-7

a)

-7

b)

-7x

c)

1/x7

d)

-1/x7

60.

Simplify (evaluate):

5-2

a)

-10

b)

1/25

c)

1/(5)2

d)

-1/10

61.

Simplify (evaluate):

2-1

a)

1/2

b)

1/1

c)

-1/1

d)

-1/2

62.

Write this expression using positive exponent:

9-3

a)

93

b)

1/9-3

c)

1/93

d)

729

63.
Rewrite using a positive exponent.
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
64.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
65.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
66.
What is 10equivalent to?
a)
1
b)
10
c)
0
d)
100
67.

Simplify

a)

-1

b)

1/32

c)

-1/32

d)

1

68.

(Activating Prior Knowledge) Solve for x:


x + 10= 30

a)

20

b)

30

c)

10

69.

What is the Inverse Operation of Addition?

(a)  

70.

What is the Inverse Operation for Multiplication?

a)

Division

b)

Addition

c)

Subtraction

71.

Student Practice: (Solve for M)


12 + m = 34

a)

m=20

b)

m=22

c)

m=34

72.

Student Practice: ( Solve for C)


C - 27 = 40

a)

C = 20

b)

C = 37

c)

C = 67

73.

Real World Problem:

1. Bob is exercising and eating right to lose weight. After losing 26 pounds, Bob weighs 231 pounds. What was Bob’s weight before he started exercising and eating right?

Write an equation to solve the problem. Use the variable (r) for his initial weight amount

4 lines
74.

Rate Your self on your understanding of todays Lesson learning targets. (1-4)

a)

1

b)

2

c)

3

d)

4

75.

Which two operations are in this equation?

5x+4=165x+4=-16  

a)

addition

b)

subtraction

c)

multiplication

d)

division

76.

Which equation shows the results of undoing the addition in the equation?

5x+4=165x+4=-16  

a)

5x = 125x\ =\ 12  

b)

5x = 205x\ =\ -20  

c)

4x = 114x\ =\ 11  

d)

4x = 214x\ =\ -21  

77.

Which equation shows the results of undoing the multiplication in the equation?

 

5x=205x=-20  

a)

x=4x=4  

b)

x=25x=25  

c)

x=15x=-15  

d)

x=4x=-4  

78.

What is the first step to solve this equation?

2x+3 = 92x+3\ =\ 9  

4 lines
79.

What is the first step to solve this equation:

11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

80.

What is the first step to solve this equation?

3k + 5 = 23

a)

Multiply both sides by 3

b)

Subtract both sides by 3

c)

Divide both sides by 3

d)

Subtract both sides by 5

81.

What is the second step to solve this equation?

3k + 5 = 23

a)

Multiply both sides by 3

b)

Subtract both sides by 3

c)

Divide both sides by 3

d)

Subtract both sides by 5

82.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

83.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
84.
Express the following in scientific notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
85.

Level 1

Which of these numbers is correctly written in scientific notation?

a)

1234x10-3

b)

10.5x109

c)

1.234x1011

d)

.5x104

86.

Level 1

Convert the following number in standard form into scientific notation: 2,718,000,000

a)

2.718x107

b)

2.718x10-9

c)

2.718x109

d)

2.178x1010