Multiple Choice Assessment Bank
Measurement and Geometric Sense
14. A scientist studying global warming conducted an experiment in her lab. She poured 4 inches of
water into a cylinder as shown below.
According to her study, the volume of water in the cylinder should rise by 0.1% when she raises the
water temperature by 10 degrees.
Which is the closest to the volume of water in the cylinder after the temperature is raised 10 degrees?
O
A.
50.29 cubic inches
O
B.
55.26 cubic inches
O C.
200.96 cubic inches
O
201.16 cubic inches
D.
225. Kim is making pizza for the school carnival. He decided to double the radius of the pizza.
Which represents the area of the new pizza in comparison to the original pizza?
 A.
The area will remain the same.
 B.
The area will be two times as large.
 C.
The area will be three times as large.
 D.
The area will be four times as large.
363. Which is the effect on the circumference of a circle when the circle’s radius is doubled?
O A.
The circumference is multiplied by 2.
O B.
The circumference is multiplied by 4.
O C.
The circumference is multiplied by 8.
O D.
The circumference stays the same.
481. If the length of a rectangle is doubled,
Which statement describes what will happen to its area?
 A. The area will be the same.
 B. The area will be twice as large.
 C. The area will be three times as large.
 D. The area will be four times as large.
482. The diagram shows a company’s current packaging of its plant food. The company doubles the
radius but keeps the height the same.
Which statement describes the effect this change will have on the volume of the container?
 A. The new volume will be twice the original volume.
 B. The new volume will be four times the original volume.
 C. The new volume will be three times the original volume.
 D. The new volume will be one and a half times the original volume.
483. The side measurements of a cube are tripled.
Which is the ratio of the surface area of the original cube to the surface area of the larger one?
 A. 1 : 3
 B. 1 : 6
 C. 1 : 9
 D. 1 : 12
397. A rectangular solid has a volume of 24 cubic decimeters. The length, width, and height are all
changed to ½ their original size.
Which will be the new volume of the rectangular solid?
O A.
3 dm³
O B.
4 dm³
O C.
6 dm³
O D.
12 dm³
105. A runner ran 3,000 meters in exactly 18 minutes.
Which represents his average speed in meters per second?
O A.
2.78
O B.
3.75
O C.
27.8
O D.
37.5
153. The points on AB represent the movement of an object over time.
distance
B
A
time
Which best represents the rate of change in distance per unit of time?
 A. Slope of AB .
 B. Distance between A and B.
 C. Midpoint of AB .
 D. Square of the distance between A and B.
286. During a recent time trial, a bicycle racer traveled a distance of 32 miles in one hour.
Which is the average number of feet he traveled per minute?
O A.
168,960
O B.
9,900
O C.
2,816
O D.
1,920
384. This table shows the temperature of water being heated in an industrial water heater.
Time
(hours)
0
3
5
10
Water
Temperature
(°F)
72
87
97
122
Which is the average rate of increase of the temperature in degrees per hour?
O A.
5.0
O B.
12.2
O C.
12.5
O D.
15.0
17. On December 17, 1903, Wilbur and Orville Wright flew their first powered airplane near Kitty
Hawk, North Carolina. They flew the plane a distance of 852 feet in 59 seconds. The expectation
was that the Wrights’ plane could continue at the same rate of speed.
Which is the number of minutes it would have taken them to fly 1 mile?
O
A.
6
O
B.
9
O
C.
14
O
D.
90
169. Four students rode to school on their bikes. The distance that each student traveled over time
was graphed.
Which graph represents the student who rode the fastest?
A.
B.
C.
D.
187. A rectangular pool 24 feet long, 8 feet wide and 4 feet deep is filled with water. Water is
leaking from the pool at a constant rate of 0.4 cubic foot per minute.
Which is the number of hours it will take for the water level to drop 1 foot?
 A.
4
 B.
8
 C.
12
 D.
16
294. The top pitchers in the Little League World Series throw the baseball 75 miles per hour.
Which is the number of seconds it takes the ball to travel the 45-foot distance between the pitcher’s
mound and home plate?
O A.
0.41
O B.
0.60
O C.
0.64
O D.
1.67
421. An ornithologist observed a bird’s travel during a period of one minute. She used the data to
construct this graph.
Which does the slope of the graph between points P and Q represent?
O A.
The distance between points P and Q.
O B.
The bird’s rise in height from point P to point Q.
O C.
The bird’s rate of speed between points P and Q.
O D.
The number of seconds the bird took to travel from point P to point Q.
495. The price of a large pizza is given by the formula P(t )  1.5t  7.50 , where P(t) is the price of
the pizza and t is the number of toppings.
Which represents the slope?
 A. Number of toppings
 B. Cost per slice
 C. Cost of each topping
 D. Cost of the pizza with no toppings
165. David walked up a hill. His position changed vertically one foot and horizontally four feet as
he moved forward up the hill.
Which graph best represents David’s position as he walked up the hill?
65. Joel made a graph for a science project to show the growth of his pet turtle over a period of 9
weeks. At the end of week 1 his turtle was 5 inches long. The final measurement after week 9 was
1
6 inches long.
2
Which represents the turtle’s average growth rate in inches per week?
O
A.
1
8
O
B.
2
9
O
C.
3
16
O
D.
1
6
179. An ornithologist observed a bird’s travel over a period of one minute. She used the data to
construct this graph.
Which best describes the slope of the graph between points P and Q?
 A.
The distance between points P and Q.
 B.
The bird’s rise in height from point P to point Q.
 C.
The bird’s rate of speed between points P and Q.
 D.
The number of seconds the bird took to travel from point P to point Q.
503. 11. The spring stretches linearly as weight is added. The table shows data collected for a
certain spring.
Weight in lb (x)
Stretch in cm (y)
100
0.5
500
2.5
800
4.0
900
4.5
1,200
6.0
Which is the slope of the line that fits these data?
 A.
1
200
 B.
1
100
 C.
1
50
 D.
1
2
8. Roderick works for JB Spas. He is installing a circular spa that will be enclosed by a square deck.
The figure below illustrates the spa and the deck as seen from above.
The radius of the spa is 3.25 feet.
Which represents the perimeter, in feet, of the deck?
O
A. 12.25
O
B.
13.00
O C.
26.00
O
42.25
D.
45. Ralph was trying to determine the area of the new section of the park developed for playground
equipment for young children.
Find the area of the figure. (Use 3.14 for  .)
O
A.
67.71 square feet
O
B.
70.07 square feet
O
C.
72 square feet
O
D.
91.26 square feet
74. Triangle ABC is similar to triangle XYZ.
Which is the length of side BC ?
O
A.
3.0 cm.
O
B.
3.6 cm.
O C.
6.0 cm.
O
6.6 cm.
D.
206. In a quadrilateral, each of two angels has a measure of 115. The measure of a third angle is
70.
Which is the measure of the remaining angle?
 A. 60
 B. 70
 C. 130
 D. 140
207. Gloria and Sam were discussing how easy it is to determine a third angle of a triangle when the
other two angles are known.
Which is the value of x in the triangle?
O A. 65
 B. 82
 C. 90
 D. 92
211. The line m is a line of symmetry for figure ABCDE.
Which is the measure of angle BCD ?
 A. 30
 B. 50
 C. 60
 D. 70
212. Sheila knows that the first step she needs to do the find out how much sod to fix the damaged
lawn is to find the area the section that needs to be replaced. Therefore, she measured the dimensions
of the rectangular section.
Which is the area of the rectangular section of lawn with sides of 10 feet long and 5 feet wide?
 A. 15 square feet
 B. 25 square feet
 C. 30 square feet
 D. 50 square feet
214. The perimeter of the community garden is 40 meters.
Which is the measure of HG ?
 A. 6 m
 B. 8 m
 C. 10 m
 D. 12 m
215. A triangle has been drawn on the unit grid.
Which is the area of the triangle?
 A. 5 square units
 B. 6 square units
 C. 7 square units
 D. 10 square units
216. Leonard drew a floor plan a the basement in his house that will be carpeted.
Which is the minimum number of square yards of carpeting needed to carpet the entire floor from
wall to wall?
8 ft
10 ft
 A. 26
 B. 27
15 ft
 C. 80
 D. 240
12 ft
217. The figure shows a shaded rectangle inside the parallelogram.
Which is the area of the shaded rectangle?
 A. 20 cm²
 B. 24 cm²
 C. 32 cm²
 D. 12 cm²
235. The illustration shows a compact disc tray that holds five CDs. The radius of each compact disc
is 6 cm.
Which is closest to the total area occupied by all five discs?
 A.
113 cm 2
 B.
126 cm 2
 C.
152 cm 2
 D.
180 cm 2
240. In triangle ABC, AC = 12 cm.
Which is the length of segment BD?
 A.
3 2 cm.
 B.
3 3 cm.
 C.
6 cm.
 D.
6 2 cm.
254. The flag corps made rectangular flags for their new half-time routine. Each flag measured 12
inches in width and 16 inches in length. The design called for gold ribbon to be sewn around the
edges and as one diagonal of the flag.
12 in.
16 in.
Which is the number of inches of gold ribbon needed for the design?
O A.
40
O B.
56
O C.
76
O D.
112
266. The length of a rectangular metal sheet is 6 inches longer than twice its width. The area of the
sheet is 540 square inches.
Which is the length of the metal sheet?
O A.
18 inches
O B.
26 inches
O C.
36 inches
O D.
42 inches
270. Mr. George wants to build a fence for his wife’s vegetable garden. The garden will be in the
shape of a rectangle with the length 5 feet more than the width.
Which equation defines P, the number of feet of fencing Mr. George needs to build the fence, in
terms of w, the width of the garden?
O A.
P  2w  5
O B.
P  2w  10
O C.
P  4w  5
O D.
P  4w  10
292. The congruent circles in the square below are tangent to one another and to the square.
Which is CLOSEST to the area of the shaded region in this figure?
O A.
243 square inches
O B.
239 square inches
O C.
154 square inches
O D.
70 square inches
350. Mary drew a triangle on a coordinate grid as part of her art project. She then needed to
calculate the area of the triangle so that she could know how much material to purchase.
Which is the area of the triangle?
O A.
35 square units
O B.
68 square units
O C.
70 square units
O D.
140 square units
439. John has a rectangular flower bed that is 4 feet wide and 16 feet long.
4 ft
16 ft
Which is the area of the flower bed if he is able to double the width?
 A. 24 square feet
 B. 40 square feet
 C. 80 square feet
 D. 128 square feet
484. 4. At noon, the shadow of a flagpole is 19 feet long. At the same time, the shadow of a 12foot-high wall is 4 feet long.
Which is the height of the flagpole?
 A. 48 feet
 B. 57 feet
 C. 62 feet
 D. 75 feet
213. The length of one side of a square field is a whole number of yards.
Which could possibly be the area of the field?
 A. 25,000 square yards
 B. 36,000 square yards
 C. 490,000 square yards
 D. 900,000 square yards
219. Box A and Box B have the same volume.
Box A
Height: 2 in., Width: 3 in., Length: 6 in.
Box B
Height: 3 in., Width: 4 in.
Which is the length of the third dimension of Box B so that both boxes have the same volume?
 A.
2 in.
 B.
3 in.
 C.
4 in.
 D.
9 in.
438. 41. Garret knew that a rhombus is a special type of parallelogram. He just wasn’t sure how to
determine the perimeter.
Which is the perimeter of a rhombus with each side measuring 5.7 m?
 A. 5.7 m
 B. 11.4 m
 C. 22.8 m
 D. 32.5 m
479.
4. The area of a triangle is 51 square meters. The height is one-half the length of the base.
Which measure is the CLOSEST to the height of the triangle?
 A. 7.0 meters
 B. 7.1 meters
 C. 14.0 meters
 D. 14.3 meters
502. The perimeter of a rectangular swimming pool is 42 m. The length is 5 meters more than the
width.
Which is the length of the swimming pool?
 A. 8.0 m
 B. 10.5 m
 C. 13.0 m
 D. 16.0 m
182. Oatmeal is packaged in a cylindrical container with the dimensions shown in the drawing.
Which is the closest to the volume of this oatmeal container?
 A.
471 cm³
 B.
566 cm ³
 C.
1413 cm³
 D.
5655 cm³
183. Karrin built an enclosed 3-dimensional figure.
Which is closest to the volume of the 3-dimensional figure?
 A.
120 cu ft
 B.
440 cu ft
 C.
512 cu ft
 D.
960 cu ft
230. It takes 64 identical cubes to half fill a rectangular box. Each cube has a volume of 8 cubic
centimeters.
Which is the volume of the box in cubic centimeters?
 A.
1,024
 B.
512
 C.
128
 D.
16
233. The volume V of a right circular cylinder is given by the formula V   r 2h.
Which, in terms of  , is the volume of a cylinder with radius r  4 and height h  10?
 A.
26
 B.
80
 C.
160
 D.
1,600
243. The radius and the height of each right cylinder are given. The variables w, x, and y represent
the respective volumes of the cylinders.
Which statement is true?
 A.
y<x<w
 B.
y<w<x
 C.
w<y<x
 D.
w<x<y
359. Tina has built a window flower box. The rectangular box measures 2
1
1
feet long by foot
2
2
deep by 1 foot wide.
Which is the amount of potting soil she will need to fill this flower box completely?
O A.
O B.
O C.
O D.
1
cubic feet
4
5
1 cubic feet
4
4 cubic feet
1
4 cubic feet
4
1
382. A right circular cylindrical can is 6 inches high, and the area of its top is 36 square inches.
Which is the minimum number of square inches of construction paper it would take to cover the
lateral surface of this can?
O A.
72 sq. in.
O B.
72 sq. in.
O C.
432 sq. in.
O D.
432 sq. in.
410. Allison has a cylindrical candle mold with the dimensions shown. Allison has a rectangular
block of wax that measures 12 centimeters by 10 centimeters by 20 centimeters
Which is the number of cylindrical candles she can make using the rectangular block of wax?
O A.
31
O B.
35
O C.
69
O D.
76
424. (Develop a context)
Which is the volume of a 3-dimensional object with the dimensions shown in the 3 views?
O A.
120 cu ft
O B.
440 cu ft
O C.
512 cu ft
O D.
960 cu ft
486. Sean wants to fill a box with origami cubes that he made. Each edge of the cubes measures 2
inches.
Which is the maximum number of cubes with a side length of 2 inches that can fit in this box?
 A. 48
 B. 24
 C. 12
 D. 6
48. The point A is translated to the left 4 units and up 3 units.
How far is image A from the original point A?
O
A.
3 units
O
B.
4 units
O
C.
5 units
O
D.
7 units
75. This diagram shows the locations of Towns A, B, and C. A person travels from Town A to Town
B to Town C.
Which is the total distance traveled?
O
A.
12 miles
O
B.
15 miles
O
C.
21 miles
O
D.
36 miles
166. A fence around a square garden has a perimeter of 48 feet.
Which is the closest to the length of the diagonal of the square garden?
 A.
12 ft
 B.
17 ft
 C.
21 ft
 D.
24 ft
168. The total area of trapezoid FGHJ is 52 square inches.
Which is closest to the length of FJ ?
 A.
8.0 in.
 B.
8.5 in.
 C.
11.0 in.
 D.
11.5 in.
178. Francis is trying to make an isosceles triangle on the coordinate grid. He has put two points on
the coordinate grid.
Which location of point C will make triangle ABC isosceles?
 A.
(-2, 3)
 B.
(-2, 2)
 C.
(2, -2)
 D.
(1, -1)
236. Chris wishes to carpet a rectangular room. He will not carpet the floor inside the closet.
Which is the number of square yards, to the nearest square yard, of carpet needed to carpet the floor
of the room?
 A.
8
 B.
19
 C.
33
 D.
59
238. A square has an area of 16 square meters.
Which is the length of the diagonal?
 A.
4 meters
 B.
8 meters
 C.
4 2 meters
 D.
8 2 meters
271. Points A, B, and C form the right triangle on the coordinate grid.
Which is the length of the hypotenuse for ABC ?
O A.
3 units
O B.
4 units
O C.
5 units
O D.
7 units
485. 5. Jake wanted to measure the length, l, of the pond, so he drew this diagram of two similar
triangles.
Which is CLOSEST to the length, l, of the pond?
 A. 25 feet
 B. 19 feet
 C. 18 feet
 D. 13 feet
487. 2. A ladder leans against the side of a building. The base of the ladder is 5 meters from the
building, and the top is 12 meters above the ground.
Which is the length of the ladder?
 A. 11 meters
 B. 13 meters
 C. 17 meters
 D. 169 meters
488. Jamie and Fred are meeting Sarita at her house. Jamie must use the crosswalk in front of Fred’s
house to cross the street.
Which is the total distance Jamie must walk to get to Saria’s house?
 A. 66 ft
 B. 130 ft
 C. 178 ft
 D. 199 ft
174. Square ABCD has midpoints of E, F, G and H.
Which is the ratio of the area of the shaded region to the total area of the unshaded regions?
 A.
2 to 1
 B.
1 to 1
 C.
1 to 2
 D.
1 to 4
229. The inside rail of a running track consists of a rectangle with a semicircle at each end.
Which is closest to the area surrounded by the track rail?
 A.
160 m²
 B.
1200 m²
 C.
1514 m²
 D.
2456 m²
316. To estimate the area of Echo Lake, scientists superimposed a grid on a map of the lake, as in the
figure. Each square of this grid represents 1 acre.
Which is the best estimate of the area of the surface of Echo Lake?
O A.
20 acres
O B.
26 acres
O C.
32 acres
O D.
43 acres
417. The total area of trapezoid FGHJ is 52 square inches.
Which is closest to the length of FJ ?
O A.
8.0 in.
O B.
8.5 in.
O C.
11.0 in.
O D.
11.5 in.
228. Which is true for all rectangles?
 A.
The opposite sides are not parallel.
 B.
All angles are not right angles.
 C.
The diagonals are not equal.
 D.
The diagonals are not perpendicular.
239. Which is NOT a property of every rectangle?
 A.
The opposite sides are equal in length.
 B.
The opposite sides are parallel.
 C.
All sides are equal in length.
 D.
The diagonals are equal in length.
245. Shairlyn and Christie were discussing the various types of triangles. Neither could remember
what a triangle is called with sides of lengths of 6 inches, 6 inches, and 10 inches.
Which is the name of the triangle?
 A.
Acute
 B.
Right
 C.
Scalene
 D.
Isosceles
246. Alan says that if a figure has four sides, it must be a rectangle. Gina does not agree.
Which figure shows that Gina is correct?
 A.
 B.
 C.
 D.
247. A figure labeled WXYZ is a parallelogram.
Which is NOT necessarily true?
 A.
Side WX is parallel to side ZY.
 B.
The measures of angles W and Y are equal.
 C.
The lengths of sides WX and ZY are equal.
 D.
The lengths of sides WX and XY are equal.
 11 7 
335. Line segment AB has a midpoint at  ,  on the coordinate plane. Point A is located at (8,2),
 2 2
Which ordered pair represents the location of point B?
O A.
 27 11 
 , 
4
 4
O B.
(3, 5)
O C.
(5, 3)
O D.
(4, 1)
272. A manufacturer made cylindrical containers in heights ranging from 2 feet to 6 feet. A customer
wanted a container with a 3 foot diameter and a volume, V, of at least 35 cubic feet. This relationship
is shown by the inequality  r 2 h  V where r is the radius and h is the height.
Which is the smallest height the manufacturer can supply and meet the customer’s volume
requirements? [Use 3.14 for  ].
O A.
2 ft
O B.
3 ft
O C.
4 ft
O D.
5 ft
334. An area with the dimensions shown below is being reserved for a utility shed at the northwest
location of a parking lot.
Which expression could represent, in square feet, the area of the lot NOT reserved for the shed?
O A.
23x
O B.
91x
O C.
89x 2
O D.
91x 2
341. The floor of Dwylene’s bedroom is shaped like a rectangle. She has a rectangular-shaped rug in
the center of the floor with the dimensions shown.
Which is the area, in square feet, of the bedroom floor NOT covered by the rug?
O A.
22
O B.
2x 2
O C.
18x  28
O D.
2 x 2  18 x  28
347. The area of the field inside the track at the elementary school can be divided into 2 semicircles
and a rectangle. Mandy ran once around the track using the inside lane.
Which is CLOSEST to the distance Mandy ran by completing one trip around the track?
O A.
930 feet
O B.
1,000 feet
O C.
1,230 feet
O D.
1,860 feet
355. Tim has an irregularly shaped garden.
What is the area of his garden?
O A.
58 square feet
O B.
174 square feet
O C.
198 square feet
O D.
Not enough information provided
1
5
full of oil. When 80 ml of oil is poured into it, the container becomes
full.
3
12
Which is the total volume of the container?
358. A container is
O A.
320 ml
O B.
400 ml
O C.
960 ml
O D.
1,080 ml