Free Printable Area Perimeter and Geometry Grade 7 Math

1.

Find the area.

a)

40 in²

b)

40

c)

40 in

d)

4 in²

2.

What is the area?
(A=hb÷2)

a)

12cm²

b)

14

c)

14cm²

d)

145

3.

Find the area?

a)

15 in²

b)

30 in²

c)

15 in

d)

30 in

4.

What units do we use to show area?

a)

units

b)

squared units

c)

cubed units

5.

Find the area of this shape

a)

13 cm

b)

36cm²

c)

13cm²

d)

36cm

6.

Find the area of this shape

a)

49 inches squared

b)

42 inches squared

c)

153 inches squared

d)

200 inches squared

7.

What is the formula for a square?

a)

A= 1/2 bh

b)

A= A= πr²

c)

A= bh

d)

A= 1/2 (b1+b2) h

8.

Find the area of this shape

a)

4.5 m²

b)

5 m²

c)

9 m²

d)

6.3 m²

9.

What is the formula for the area of a triangle

a)

A=bh

b)

A=lw

c)

A=s²

d)

A=1/2(bh)

10.

What is the formula for the area of a parallelogram?

a)

A=bh

b)

A=lw

c)

A=s²

d)

A=1/2(bh)

11.

Find the area?

a)

15 in²

b)

30 in²

c)

15 in

d)

30 in

12.

What is the area of the shaded region?

a)

20 sq cm

b)

4 sq cm

c)

30 sq cm

d)

24 sq cm

13.

Find the area of the following shape

a)

48cm²

b)

56cm²

c)

28cm²

d)

30cm

14.

Find the area of the following square

a)

14cm

b)

28cm

c)

49cm

d)

49cm²

15.

Find the area of the following shape

a)

28cm²

b)

11cm

c)

14cm²

d)

28cm

16.

Find the area of the following shape

a)

24cm²

b)

48cm²

c)

30cm²

d)

60cm²

17.

Find the perimeter of the following shape

a)

24cm²

b)

48cm²

c)

14cm

d)

24cm

18.

Find the area of the following shape

a)

16cm²

b)

16cm

c)

8cm

d)

8cm²

19.

Find the area of the following shape

a)

22.5cm²

b)

27cm²

c)

54cm²

d)

45cm²

20.

Find the perimeter of the following shape

a)

14cm

b)

24cm²

c)

12cm²

d)

28cm

21.

Find the missing length

a)

8cm

b)

4cm

c)

9cm

d)

7cm

22.

Find the area of the following shape

a)

40cm²

b)

80cm²

c)

21cm

d)

300cm²

23.

Find the area of the following shape

a)

84cm²

b)

40cm²

c)

20cm²

d)

15cm²

24.

Find the perimeter of the following shape

a)

24cm

b)

20cm

c)

18cm

d)

34cm

25.

Find the perimeter of the following shape

a)

44cm

b)

34cm

c)

24cm

d)

54cm

26.

Find the perimeter of the following shape

a)

30cm

b)

38cm

c)

34cm

d)

42cm

27.

Find the area:

a)

32 in²

b)

12 in²

c)

32 in

d)

4 in²

28.

Find the area:

a)

40 yd

b)

40 yd²

c)

80 yd²

d)

18 yd²

29.

Determine the area of the trapezoid.

a)

160 cm²

b)

304 cm²

c)

80 cm²

d)

152 cm²

30.

What is the formula for the area of a triangle?

a)

A = bh

b)

A = lw

c)

A = s²

d)

A = 1/2*B*H

31.

Find the AREA of this figure.

a)

160 square feet

b)

160 feet

c)

160

d)

1600 feet

32.

Find the area.

a)

46.2 ft²

b)

92.4 ft²

c)

46.2 ft

d)

92.4 ft

33.

What is the area?

a)

16 units

b)

8 units

c)

8 sq units

d)

12 sq units

34.

Area is measured in ...

a)

cubic units

b)

simple units e.g. mm, cm, m

c)

squared units

d)

none of the above

35.

Find the area of a parallelogram with a base of 30 m and a height of 25 m

a)

750 m²

b)

375 m²

c)

705 m²

d)

110 m²

36.

Area

a)

12 in sq

b)

12 in

c)

24 in sq

d)

6 in sq

37.

A decorative rug in an office building has the dimensions shown. What is the area of the rug?

a)

72 m²

b)

72 m

c)

18 m²

d)

36 m²

38.

Find the area of a parallelogram with a base of 1.9 m and a height of 20 m.

a)

38 m

b)

83 m²

c)

3.8 m²

d)

38 m²

39.

Find the area?

a)

15 in²

b)

30 in²

c)

15 in

d)

30 in

40.

Find the area.

a)

16 cm²

b)

30 cm²

c)

32 cm²

d)

60 cm²

41.

What is the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

42.

The diameter of a circle is:

a)

The measurement around the circle.

b)

The distance from an edge of a circle to another edge.

c)

The distance from the center of the circle to an edge of a circle

d)

The distance from an edge of a circle to another edge through the center.

43.

The diameter of a circle is 3 centimeters. What is the circumference?

a)

11.5cm2

b)

9.42 cm2

c)

unicorns are awsome

d)

45.3 cm2

44.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

45.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

46.

If my diameter is 19 inches, what is my radius?

a)

38 inches

b)

9.5 inches

c)

59.66 inches

d)

119.32 inches

47.

what is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

48.

Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the
bowl?

a)

28 cm

b)

43.98 cm

c)

87.96 cm

d)

7 cm

49.

What is the radius of this circle?

a)

18

b)

10

c)

9

d)

8

50.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

51.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

52.

find the area of the circle below.

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.26 cm

53.

What is the area of this circle?

a)

15393.8

b)

1248.12

c)

5930.12

d)

3848.45

54.

What is the formula for area of a circle?

a)

A = pi x D

b)

A = 2pi x r

c)

A = $\pi$ x r x r

d)

A = pi x D2

55.

What is the area of this circle?

a)

1385.44

b)

2142.12

c)

5541.77

d)

1289.12

56.

What is the formula for finding the circumference of a circle?

a)

C = r²

b)

C = rd

c)

A = π·r²

d)

C = d x $\pi$

57.

The distance halfway across the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

58.

What is circumference?

a)

space inside of a circle

b)

a set of points equidistant from one another

c)

distance around a circle

d)

crosses through the center point across a circle

59.

Select the correct formula for finding area of a circle

a)

$2\pi r$

b)

$\pi r^2$

c)

$\pi d$

d)

l x w

60.

Find the area.

a)

$6.28km^2$

b)

$18.84yd^2$

c)

$3.14yd^2$

d)

$12.56km^2$

61.

Find the area.

a)

$200.96yd$

b)

$50.24yd^2$

c)

$200.96yd^2$

d)

$74.16yd^2$

62.

Find the area.

a)

$56.52mi^2$

b)

$28.26mi^2$

c)

$9.42mi^2$

d)

$254.34mi^2$

63.

Find the area.

a)

$28.26cm^2$

b)

$113.04cm^2$

c)

$12.56cm^2$

d)

$3.14cm^2$

64.

Find the area in terms of $\pi$

a)

$10\pi in^2$

b)

$5\pi in^2$

c)

$100\pi in^2$

d)

$25\pi in^2$

65.

Find the area in terms of $\pi$

a)

$30\pi yd^2$

b)

$15\pi yd^2$

c)

$20\pi yd^2$

d)

$225\pi yd^2$

66.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

67.

A point that divides, or bisects, a segment into two congruent segments is called a ___________________.

a)

midpoint

b)

congruent segment

c)

angle bisector

d)

endpoint

68.

Find TM and MS given that M is the midpoint of the segment.

a)

TM = 15, MS = 15

b)

TM = 7.5, MS = 7.5

c)

TM = 7.5, MS = 15

d)

TM = 15, MS = 7.5

69.

Find PM and MQ, given that M is the midpoint of the segment.

a)

PM = 22, MQ = 22

b)

PM = 11, MQ = 22

c)

PM = 11, MQ = 11

d)

PM = 22, MQ = 11

70.

Line l bisects the segment. Find the lengths of AN and AB.

a)

AN = 9.2, AB = 9.2

b)

AN = 9.2, AB = 18.4

c)

AN = 18.4, AB = 9.2

d)

AN = 18.4, AB = 18.4

71.

Line l bisects the segment. Find the lengths of FG and EG.

a)

FG = 17, EG = 17

b)

FG = 34, EG = 17

c)

FG = 17, EG = 34

d)

FG = 34, EG = 34

72.

Given that M is the midpoint of

\overline{AB}

and

AB=30

find AM.

a)

15

b)

30

c)

10

d)

not enough information

73.

In the figure FG = 11. What is the length of GH?

(a)

74.

In the figure IG = 18. What is the length of IJ?

(a)

75.

In the figure KL = 12. What is the length of GL?

(a)

76.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

77.

Find the value of x.

a)

x=47

b)

x=19

c)

x=33

d)

x= -47

78.

Line l bisects the segment. Find the value of x.

a)

x = 15

b)

x = 6

c)

x = 9

d)

x = 3

79.

Point B is the midpoint of AC. Find the value of x.

(a)

80.

Point B is the midpoint of AC. Find the value of the x.

(a)

81.

Point B is the midpoint of AC. Find the value of x.

(a)

82.

What ray is the bisector of $\angle AOC$ ?

a)

$\overrightarrow{OB}$

b)

$\overrightarrow{OC}$

c)

$\overrightarrow{BO}$

d)

$\overline{OB}$

83.

This point divides a line segment into 2 equal parts.

a)

point

b)

vertex

c)

midpoint

d)

angle

84.

A line, segment, or ray that divides an angle in half

a)

Perpendicular bisector

b)

Vertical angles

c)

Angle bisector

d)

Midsegment

85.

Perpendicular bisector which divides a line segment into

a)

Two equal parts

b)

single part

c)

Three parts

d)

None of the above

86.

Bisection means divide into _______ equal parts.

a)

two

b)

Three

c)

four

d)

none

87.

.

What kind of intersecting lines are these?

a)

Parallel Lines

b)

Perpendicular Lines

c)

adjacent

d)

opposite

88.

Angles that have a measure less than 90 degrees are called _____ ______.

a)

acute angles

b)

obtuse angles

c)

right angles

d)

straight angles

89.

_{What is the measure of the angle?}

a)

110 degrees.

b)

140 degrees.

c)

150 degrees.

d)

169 degrees.

90.

_{What is the measure of the following angle?}

a)

21 degrees.

b)

34 degrees.

c)

70 degrees.

d)

172 degrees.

91.

Name the sides of ∠B.

a)

Ray AB and ray CB

b)

Ray AB and ray BC

c)

Ray BA and ray BC

d)

Ray BA and ray CB

92.

What is the distance along the edge of a figure.

a)

Perimeter

b)

Area

93.

What is the space inside a figure.

a)

Perimeter

b)

Area

94.

How do you find the perimeter of a shape?

a)

Add up all the side lengths

b)

Count the number of sides

c)

Length x Width

d)

Add the height and the base length of each shape

95.

Find the area of this triangle.

a)

12 in²

b)

22 in²

c)

18 in²

d)

24 in²

96.

Find the area

a)

24 meters²

b)

140 meters²

c)

70 meters²

d)

49 meters²

97.

Find the perimeter and area

a)

20 cm ; 25 cm²

b)

10 cm ; 20 cm²

c)

9 cm ; 25 cm²

d)

20 cm ; 10 cm²

98.

Find the perimeter and area

a)

32 units ; 49 units²

b)

39 units ; 56 units²

c)

32 units ; 115.5 units²

d)

14 units ; 10.5 units²

99.

Find the perimeter and area

a)

80 yards ; 324 yards²

b)

92 yards ; 156 yards²

c)

80 yards ; 351 yards²

d)

40 yards ; 1404 yards²

100.

Find the area

a)

37.68 ft²

b)

18.84 ft²

c)

113.04 ft²

d)

9.42 ft²

101.

Find the area of the circle

a)

56.52 in²

b)

254.34 in²

c)

1017.36 in²

d)

113.04 in²

102.

What is the circumference of this circle?

a)

78.5 m

b)

31.4 m

c)

15.7 m

d)

3.14 m

103.

Find the length of the missing side then calculate the perimeter of the triangle.

a)

5

b)

12

c)

14

d)

10

104.

The area of a rectangle is $124\ in^2$ . If one side is 16 inches. How much is the other side?

a)

3.88 inches

b)

8 inches

c)

7.75 inches

d)

1,984 inches

105.

A farmer needs to buy fertilizer to go in his garden. The garden is 200 feet long by 150 feet wide. How much fertilizer will he need?

a)

$30,000\ ft^2$

b)

$300\ ft^2$

c)

$50\ ft^2$

d)

$5\ ft^2$

106.

The area of a rectangular yard is $375\ ft^2$ . If the width of the yard is 15 ft, how long is the yard?

a)

5,625 feet

b)

25 feet

c)

12.5 feet

d)

50 feet

107.

Samuel is making a triangular shaped room in his house. The base of the room is 18 feet and the height is 23 feet. How much flooring will he need to cover the room?

a)

$214\ ft^2$

b)

$312\ ft^2$

c)

$414\ ft^2$

d)

$207\ ft^2$

108.

Joel has brownies. The length of each brownie is 7cm and the width is 5 cm. Find the area of the brownies.

a)

$2\ cm^2$

b)

$35\ cm^2$

c)

$12\ cm^2$

d)

$20\ cm^2$

109.

The area of a triangle is $36\ in^2$ . If the base is 9 in, how much is the height?

a)

10 inches

b)

27 inches

c)

8 inches

d)

4 inches

110.

Sue bought a triangular shaped piece of wood with a height of 6 inches and a base of 2 inches. She plans to cover the front with a piece of fabric, how much fabric will she need?

a)

$6\ in^2$

b)

$12\ in^2$

c)

$4\ in^2$

d)

$8\ in^2$

111.

The area of a triangular bookcase $65\ ft^2$ . If the base is 13 ft, how tall is the bookcase?

a)

52 feet

b)

5 feet

c)

15 feet

d)

10 feet

112.

The area of a house is $772\ ft^2$ . If the front of the house is 36 ft, how long is the side of the house?

a)

2 feet

b)

21.44 feet

c)

42.89 feet

d)

736 feet

113.

The area of a triangular garden is $78\ ft^2$ . If the height of the garden is 12 ft, then what is the base size of the garden?

a)

15 feet

b)

7 feet

c)

6.5 feet

d)

13 feet

114.

Andy wants to make a screensaver for his new computer. The screen is 32 inches long by 18 inches wide. What is the area of the screen?

a)

$576\ in^2$

b)

$288\ in^2$

c)

$50\ in^2$

d)

$200\ in^2$

115.

What is Area?

a)

It is Perimeter of any figure

b)

It is the measurement of the region enclosed by a closed plane figure

c)

Space occupied by two dimensional figures

d)

Cant Determine

116.

What is PERIMETER?

a)

Length of its boundary

b)

Measure around something

c)

Measure of the fence & boundaries

d)

Distance around the figure

117.

What is the formula of PERIMETER OF A RECTANGLE?

(a)

118.

What is the formula of PERIMETER OF SQUARE?

(a)

119.

What is the formula of PERIMETER OF A TRIANGLE?

(a)

120.

Units to measure PERIMETER

a)

l, ml, kl

b)

s, h, d

c)

m, km, hm, dm, cm, etc

d)

Doesn't have any as such...

121.

Units to measure Area

a)

Square units

b)

l², ml²

c)

cm, km, hm, dm, etc...

d)

Doesn't have a unit

122.

How many triangles can be formed in a rectangle at the max. and min. respectively?

(a)

123.

Is the number of triangles formed in square same as number of triangles formed in a rectangle (at an average)?

(a)

124.

Area of PARALLELOGRAM=Area of RECTANGLE

a)

True

b)

False

c)

Both (option 1 and 2)

d)

None of these

125.

What is the perimeter of a circle called?

(a)

126.

What is CIRCUMFERENCE?

a)

b)

None

c)

Curved outer Boundary of the Circle

d)

Both (option 2 and 3)

127.

(HINT:Circumference/Diameter=Constant)
How is the constant represented?

(a)

128.

What is the formula of Circumference of a circle?

(a)

129.

C=2

\pi

r

a)

True

b)

False

130.

What is the formula of AREA OF CIRCLE?

(a)

131.

What is the formula of the AREA BETWEEN TWO CONCENTRIC CIRCLES?

4 lines

132.

In a parallelogram, How many of the adjacent sides can be chosen as base?

a)

2

b)

5

c)

4

d)

3

133.

What is an Altitude?

a)

An altitude is the base

b)

An altitude is the height

c)

An altitude is the sum of perimeter and area of the 2-d figure

d)

An altitude is the perpendicular drawn from the opposite vertex to that base

134.

Radii= (1+) radius

(HINT: ABOUT SINGULAR-PLURAL)

a)

True

b)

False

c)

None

d)

It is meaningless

135.

Translations, reflections, rotations and dilations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

d)

Equations

136.

A rotation

a)

Has a central point that stays fixed and everything else moves around that point

b)

a transformation that changes the size of a figure

c)

a transformation in which the preimage is flipped across a line

d)

a function that moves an object a certain distance. The object is not altered in any other way.

137.

A reflection

a)

Has a central point that stays fixed and everything else moves around that point

b)

a transformation that changes the size of a figure

c)

a transformation in which the preimage is flipped across a line

d)

a function that moves an object a certain distance. The object is not altered in any other way.

138.

A translation

a)

Has a central point that stays fixed and everything else moves around that point

b)

a transformation that changes the size of a figure

c)

a transformation in which the preimage is flipped across a line

d)

a function that moves an object a certain distance. The object is not altered in any other way.

139.

What type of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

140.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

141.

Describe the transformation shown.

a)

Rotation 90^o clockwise

b)

Dilation by a factor of 3

c)

Translation 2 units down

d)

Reflection across the x axis.

142.

Identify the transformation from B to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o clockwise Rotation

d)

360^o Rotation

143.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

144.

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) --> (x - 9, y + 3)

b)

(x, y) --> (x + 9, y - 3)

c)

(x, y) --> (x + 3, y - 9)

d)

(x, y) --> (9x, 3y)

145.

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

146.

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

147.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees around the origin

b)

Rotate -90 degrees around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees about the origin.

148.

Describe the rotation shown.

a)

Rotation 180^o

b)

Rotation 90^o clockwise

c)

Rotation 90^o counter clockwise

d)

Rotation 270^o clockwise

149.

What transformation has occurred in this image?

a)

Rotation of 270^o Clockwise

b)

Rotation of 270^o Counterclockwise

c)

Rotation of 90^o Clockwise

d)

Rotation of 180^o Counterclockwise

150.

Describe the series of Transformations to get to Polygon(A'''', B'''', C'''', P, E'''', F'''', G'''', H'''')

4 lines

151.

Translations, rotations, and reflections are three different types of what?

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

152.

After a figure has been transformed, we call the new figure the...

a)

Image

b)

Different shape

c)

Figure that moved

d)

Prime

153.

In translations, the image and the pre-image are always

a)

parallel

b)

next to each other

c)

congruent

d)

opposite

154.

The mathematical term for the line that you reflect a shape over is the...

a)

Mirror

b)

Reflective tape

c)

Line that you reflect over

d)

Line of reflection

155.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

6 down

b)

6 down, 1 right

c)

6 down, 3 left

d)

8 down, 1 right

156.

Which answers are showing a reflection?

a)

a and c

b)

b and c

c)

c and d

d)

a and d

157.

How is triangle ABC being translated to triangle A'B'C'?

a)

up 3, left 8

b)

up 9, left 4

c)

down 3, right 8

d)

down 9, right 4

158.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

159.

Identify the transformation from C to D.

a)

90^o Counter Clockwise Rotation

b)

180^o Rotation

c)

270^o Counter clockwise Rotation

d)

360^o Rotation

160.

How would you translate point P to P'?

a)

Translate 2 units to the right and 8 units down

b)

Translate 3 units down and 2 units to the right

c)

Translate 4 units down and 4 units to the left

d)

Translate 8 units to the right and 2 units down

161.

The following is a ...

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

162.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

163.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

164.

Identify the transformation from ABC to A'B'C'.

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90^o clockwise rotation

d)

90^o counterclockwise rotation

165.

Identify the transformation from B to A.

a)

90^o Counter Clockwise Rotation

b)

180^o Rotation

c)

90^o Clockwise Rotation

d)

360^o Rotation

166.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

167.

When you translate, (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

168.

What is the angle of rotation for this counterclockwise rotation about the origin?

a)

90°

b)

180°

c)

270°

d)

360°

Area Perimeter and Geometry Grade 7 Math

Total questions: 168

Worksheet time: 9hrs 8mins

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