Free Printable Topic 10: Model and Solve Problems Involving Geometry

1.

What quadrant is the following ordered pair in: ( 5, -2 )

a)

Quadrant IV

b)

Quadrant I

c)

Quadrant II

d)

Quadrant III

2.

What quadrant is the following ordered pair in: ( -8, 4 )

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

3.

Which point represents (4, -2)

a)

Point F

b)

Point D

c)

Point V

d)

Point C

4.

There is a point on the coordinate plane at (-1, 7). If you reflect this point over the X-axis, what would your new ordered pair be?

a)

(1,7)

b)

(-1,-7)

c)

(1,-7)

d)

(-1,7)

5.

There is a point on the coordinate plane at (3, 4). If you reflect this point over the Y-axis, what would your new ordered pair be?

a)

(-3,-4)

b)

(-3,4)

c)

(3,4)

d)

(4,-3)

6.

What is the distance from the point on (5, 2) to the point on (5, -3)?

a)

1 unit

b)

3 units

c)

5 units

d)

6 units

7.

Your house is at the coordinate (5, 4) and the playground is at (-3, 4). If each number on the number line represents a block, how many blocks is it from your house to the playground?

a)

6 blocks

b)

5 blocks

c)

9 blocks

d)

8 blocks

8.

Which of the following best describes the X-axis?

a)

Vertical Number Line

b)

Horizontal number line

9.

Select all: Which of the following would be located on the X-axis?

a)

A (0, 0)

b)

B (0,3)

c)

C (0,-5)

d)

(3, 0)

e)

(-5, 0)

10.

Select all: Which of the following would be located on the Y-axis?

a)

A (0, 0)

b)

B (0,3)

c)

C (0,-5)

d)

(3, 0)

e)

(-5, 0)

11.

Which of the following describes the Y-axis?

a)

Vertical Number Line

b)

Horizontal Number Line

12.

What do you do when you reflect over the X-axis?

a)

The x-axis stays the same and the y-axis becomes the opposite

b)

The x-axis becomes the opposie and the y-axis stays the same

c)

the x-axis becomes the opposite and the y-axis becomes the opposite

d)

nothing, it is the same point

13.

A triangle with a height of 11 ft and a base of 8 ft has an area of what?

a)

22 ft²

b)

44 ft²

c)

88 ft²

d)

176 ft²

14.

Which of the following can be used to find the area of a triangle?

Select all.

a)

base x height

b)

multiply the base by the height then divide by two

c)

divide the base by two then multiply by the height

d)

divide the height by two then multiply by the base

e)

$\frac{1}{2}$ (base x height)

15.

What is the area of the figure?

a)

6 cm²

b)

12 cm²

c)

24 cm²

d)

48 cm²

16.

What is the area of the figure?

a)

31.5 units²

b)

63 units²

c)

77 units²

d)

38.5 units²

17.

What is the area of the figure?

a)

51 m²

b)

81 m²

c)

120 m²

d)

420 m²

18.

What is the area of the figure?

a)

21 ft²

b)

24 ft²

c)

42 ft²

d)

135 ft²

19.

Find the area of the composite figure.

a)

39.5 ft²

b)

51.5 ft²

c)

47 ft²

d)

62 ft²

20.

What is the Net for this shape?

a)

b)

c)

d)

21.

What is the Net for this shape?

a)

b)

c)

d)

22.

What is the Net for this shape?

a)

b)

c)

d)

23.

What is the area of the figure?

a)

28 units²

b)

46 units²

c)

52 units²

d)

56 units²

24.

Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.

a)

18 ft²

b)

36 ft²

c)

72 ft²

d)

105 ft²

25.

Which of the following equations can be used to find the area of the trapezoid?

a)

$A=\frac{1}{2}\left(5+9\right)6$

b)

$A=9\times6$

c)

$A=\frac{1}{2}\left(9\times6\right)$

d)

$A=9+5+6$

26.

What are the bases of the trapezoid?

a)

8 mm and 5 mm

b)

5 mm and 4 mm

c)

8 mm and 4 mm

d)

5 mm is the only base

27.

In a trapezoid, the bases are always_________.

a)

the same length

b)

parallel

c)

perpendicular

d)

longer than the height

28.

Which of the following are formulas to find the volume of a rectangular prism?

Select all.

a)

$V=\frac{1}{2}\left(lwh\right)$

b)

$V=lwh$

c)

$V=Bh$

(B = length x width)

d)

$V=2\left(lw+wh+hl\right)$

29.

What is the volume of the cube?

a)

12 cm³

b)

32 cm³

c)

64 cm³

d)

96 cm³

30.

What is the area?

a)

10 units²

b)

20 units²

c)

48 units²

d)

96 units²

31.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

32.

Find the total surface area of the prism.

a)

44 in²

b)

48 in²

c)

88 in²

d)

96 in²

33.

How many faces does a triangular prism have?

a)

2

b)

3

c)

5

d)

6

34.

Find the surface area of the triangular prism.

a)

228 cm²

b)

170 cm²

c)

304 cm²

d)

328 cm

35.

Find the surface area of the triangular pyramid.

a)

16 m²

b)

20 m²

c)

32 m²

d)

36 m²

36.

Name this figure.

a)

square pyramid

b)

triangular prisim

c)

square prisim

d)

triangular pyramid

37.

What is the volume of this rectangular prism?

a)

2.5 cm³

b)

5 cm³

c)

5.5 cm³

d)

19 cm³

38.

What is the volume of this prism ?

a)

$1\ in^3$

b)

$\frac{1}{8}\ in^3$

c)

$\frac{1}{16}\ in^3$

d)

$\frac{5}{4}\ in^3$

39.

What is the volume of the image shown?

a)

$\frac{3}{8}\ in^3$

b)

$2\frac{1}{4}\ in^3$

c)

$3\frac{1}{4}\ in^3$

d)

$24\ in^3$

40.

The figure is composed of 24 smaller cubes.

What is the length of one side of each of the smaller cubes?

a)

$\frac{1}{8}inch$

b)

$\frac{1}{4}\ inch$

c)

$\frac{1}{2}\ inch$

d)

$\frac{3}{8}\ inch$

41.

Match each formula for area with the two-dimensional shape.

a)

rectangle

1.

$A=lw$

b)

parallelogram

2.

$A=bh$

c)

triangle

3.

$A=\frac{1}{2}bh$

d)

kite or a rhombus

4.

$A=\frac{1}{2}\left(d_1\times d_2\right)$

e)

trapezoid

5.

$A=\frac{1}{2}\left(b_1+b_2\right)h$

42.

Match each formula for total surface area with the three-dimensional figure.

a)

rectangular prism

1.

$SA=2\left(lw+lh+wh\right)$

( l = length; w = width; h = height )

b)

cube

2.

$SA=6\left(lw\right)^2$

( l = length; w= width )

c)

rectangular pyramid

3.

$SA=B+LA$

(B = area of base; LA = total area of the lateral faces)

43.

Match each formula for volume with the three-dimensional figure

a)

volume of a rectangular prism

1.

$V=lwh$

b)

volume of a rectangular prism with a given base (B)

2.

$V=Bh$

c)

volume of a cube

3.

$V=s^3$

(side x side x side)

d)

volume of a triangular prism

4.

$V=\frac{1}{2}\ lwh$

44.

Reorder the following steps to find the surface area of the rectangular prism.

a)

multiply 4x5, 5x7, and 7x4

b)

add 20 +35 + 28

c)

multiply 2 x 83

1)

2)

3)

45.

Find the surface area of the rectangular prism.

a)

$83\ in^2$

b)

$140\ in^2$

c)

$166\ in^2$

d)

$280\ in^2$

46.

Starting with finding the area of the triangular bases, reorder the following steps to find the total surface area of the triangular prism.

a)

multiply 3 x 4 to find the combined area of the two bases

b)

add 3 + 4 + 5

c)

multiply 6 x 12

d)

add 12 + 72

1)

2)

3)

4)

47.

Find the surface area of the triangular prism.

a)

$84\ in^2$

b)

$96\ in^2$

c)

$168\ in^2$

d)

$360\ in^2$

48.

Match the three-dimensional solid figure with its net.

a)

1.

rectangular prism

b)

2.

cube

c)

3.

triangular prism

d)

4.

triangular pyramid

e)

5.

rectangular pyramid

49.

Starting with finding the area of the rectangular base, reorder the following steps to find the total surface area of the triangular pyramid.

a)

multiply 10 x 4 to find the area of the rectangle base

b)

multiply 10 x 4 and 4 x 6 to find the area of the four lateral faces

c)

combine the area of the base and the four lateral faces by adding 40 + 40 + 24

1)

2)

3)

50.

Find the total surface area of the triangular pyramid.

a)

$64\ cm^2$

b)

$104\ cm^2$

c)

$168\ cm^2$

d)

$200\ cm^2$

Topic 10: Model and Solve Problems Involving Geometry

Total questions: 50

Worksheet time: 25mins

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