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Prerequisite Skills Inventory for Grade 5

Total questions: 88

Worksheet time: 44mins

Name
Class
Date
1.

An office supply store sold 310,409 pencils last year. What is the expanded form of 310,409?

a)

300,000 + 10,000 + 400 + 9

b)

300,000 + 1,000 + 400 + 9

c)

300,000 + 10,000 + 40 + 9

d)

300,000 + 10,000 + 400 + 90

2.

The population of Yuba City, California is 60,360 people. What is 60,360 rounded to the nearest thousand?

a)

60,000

b)

61,000

c)

59,000

d)

60,500

3.

Last year, the local animal shelter found homes for 12,308 dogs and 7,953 cats. What is the total number of dogs and cats the animal shelter found homes for last year?

a)

20,261

b)

19,251

c)

21,000

d)

18,500

4.

The area of South Dakota is 77,353 square miles. The area of North Dakota is 70,700 square miles. How many square miles greater is the area of South Dakota than the area of North Dakota?

a)

6,653

b)

7,653

c)

5,653

d)

8,653

5.

James uses the Distributive Property to find how many cans of paint are in the art supply closet. There are 5 boxes in the closet. Each box holds 14 cans. How many cans of paint are in the closet?

a)

70

b)

60

c)

80

d)

65

6.

Ling’s parents buy 4 tickets for the nature museum. Each ticket costs $13. What is the total cost of the 4 tickets?

a)

$52

b)

$40

c)

$26

d)

$48

7.

The theater has 1,678 seats. A magician performed 3 sold out shows at the theater. How many people were able to see the magician’s show?

a)

5,034

b)

4,034

c)

5,300

d)

3,678

8.

Erin has 4 bags with 19 marbles in

each bag. She also has 7 bags with

14 marbles in each bag. She gives

23 marbles to her brother. She wrote

this expression to find how many

marbles she has left. How many

marbles does Erin have left?

4 × 19 + 7 × 14 − 23

How many marbles does Erin have left?

a)

151

b)

120

c)

160

d)

100

9.

Risley’s Restaurant charges $12 for a spaghetti dinner special. During one hour 16 people ordered the spaghetti dinner special. What is the total amount Risley’s Restaurant charged during that hour for the spaghetti dinner specials?

a)

$192

b)

$128

c)

$160

d)

$180

10.

The Distributive Property can help you divide. Show how you can break apart the dividend to find the quotient for 224 ÷ 7.

a)

224 ÷ 7 = (210 ÷ 7) + (14 ÷ 7) = 30 + 2 = 32

b)

224 ÷ 7 = (200 ÷ 7) + (24 ÷ 7) = 28 + 3 = 31

c)

224 ÷ 7 = (100 ÷ 7) + (124 ÷ 7) = 14 + 18 = 32

d)

224 ÷ 7 = (220 ÷ 7) + (4 ÷ 7) = 31 + 1 = 32

11.

On Saturday, a total of 1,292 people went to see a new movie. There were 4 different showings for the new movie and the same number of people attended each showing. How many people attended each showing?

a)

323

b)

320

c)

300

d)

400

12.

A dentist bought 9 bags of prizes for his patients. Each bag had 12 prizes. The prizes were divided equally among 3 boxes. How many prizes were in each box?

a)

36

b)

27

c)

18

d)

12

13.

Rylee is learning about prime numbers in math class. Her friend asked her to name all the prime numbers between 10 and 20.

a)

11, 13, 17, 19

b)

12, 14, 16, 18

c)

10, 12, 15, 20

d)

13, 15, 17, 18

14.

What should be the next number in her pattern?

a)

6

b)

4

c)

8

d)

10

15.

Mrs. Dalton needs 1/2 cup mixed nuts for her granola recipe. She only has a 1/4 cup measuring cup. Write the equivalent fraction that shows the amount of mixed nuts she will use for the recipe.

a)

2/4

b)

1/4

c)

3/4

d)

1/8

16.

What is a common denominator for 1/2 and 1/4?

a)

4

b)

2

c)

6

d)

8

17.

Julia and Sam rode their bikes on the bike path. Julia rode her bike 3/10 of the path's distance. Sam rode his bike 4/8 of the path's distance. Compare the distances using <, >, or =.

a)

3/10 < 4/8

b)

3/10 > 4/8

c)

3/10 = 4/8

d)

3/10 > 3/8

18.

Ali needs 4/10 yard of red ribbon and 5/10 yard of blue ribbon to make a tail for her kite. How much ribbon does Ali need in all?

a)

9/10 yard

b)

1/2 yard

c)

1 yard

d)

4/5 yard

19.

Bryan brought 8/10 gallon of water on a hiking trip. He drank 4/10 gallon of water. How much water is left?

a)

4/10 gallon

b)

2/10 gallon

c)

6/10 gallon

d)

8/20 gallon

20.

Lily has two kittens. One kitten weighs 15/16 pound. The other kitten weighs 12/16 pound. What is the difference in the weights of the two kittens?

a)

3/16 pound

b)

1/16 pound

c)

27/16 pound

d)

7/16 pound

21.

Jamie put 2 3/12 pounds of green apples into a bag. He then added 3 5/12 pounds of red apples into the same bag. What is the total weight of the apples in the bag?

a)

5 8/12 pounds (or 5 2/3 pounds simplified)

b)

4 10/12 pounds (or 4 5/6 pounds simplified)

c)

6 1/12 pounds

d)

5 6/12 pounds (or 5 1/2 pounds simplified)

22.

Mrs. Laska buys 4 5/8 yards of blue fabric and 2 1/8 yards of green fabric. How many more yards of blue fabric than green fabric does Mrs. Laska buy?

a)

2 4/8 yards (or 2 1/2 yards simplified)

b)

3 1/2 yards

c)

1 3/8 yards

d)

6 3/4 yards

23.

In Crosby’s model collection, 5/16 of the models are trains and 7/16 of the models are cars. What part of Crosby’s model collection is trains and cars?

a)

12/16 (or 3/4 simplified)

b)

5/23

c)

7/32

d)

1/2

24.

Leo walks his dog 7/8 mile. He walks his dog 3 times a day. How far does Leo walk his dog every day? Show how you can use repeated addition to solve.

a)

21/8 miles (or 2 5/8 miles simplified)

b)

7/24 miles

c)

2 7/8 miles

d)

3 7/8 miles

25.

On Tuesday, Lilly spent 1/4 hour working on her science fair project. Ben worked 3 times as long on his science fair project as Lilly did. How much time did Ben spend on his science fair project?

a)

3/4 hour

b)

1/2 hour

c)

1 hour

d)

1/4 hour

26.

It takes Akio’s family 2 1/2 hours to drive from their home to the beach. It takes his family 3 times as long to drive to the mountains as it takes to drive to the beach. How long does it take Akio’s family to drive from their home to the mountains?

a)

7 1/2 hours

b)

5 hours

c)

6 hours

d)

8 hours

27.

What is this length written as a decimal?

a)

8.4

b)

8.04

c)

0.84

d)

84

28.

The distance from Davina’s house to her school is 2 75/100 miles. What is this distance written as a decimal?

a)

2.75

b)

2.075

c)

2.57

d)

2.705

29.

Jill buys a tomato that weighs 0.9 pound. Write the weight of the tomato as a fraction with a denominator of 100.

a)

90/100

b)

9/100

c)

900/100

d)

19/100

30.

Use <, >, or = to compare 0.36 and 0.4.

a)

0.36 < 0.4

b)

0.36 > 0.4

c)

0.36 = 0.4

d)

0.36 < 0.36

31.

Henry draws an obtuse triangle. How many obtuse angles does Henry’s triangle have?

a)

1

b)

2

c)

3

d)

0

32.

What term best describes the lines shown?

a)

perpendicular

b)

parallel

c)

intersecting

33.

Tyler uses craft sticks to make a quadrilateral like the one shown. Tell whether she made a trapezoid, parallelogram, rhombus, rectangle, or square.

a)

trapezoid

b)

parallelogram

c)

rectangle

d)

square

34.

A puppy weighs 3 pounds. What is the puppy’s weight in ounces?

a)

48 ounces

b)

36 ounces

c)

24 ounces

d)

12 ounces

35.

The line plot shows the lengths of some leaves Madison collected on a hike. How many leaves were longer than 5/8 inch?

a)

7 leaves

b)

2 leaves

c)

4 leaves

d)

9 leaves

36.

A piece of ribbon is 86 centimeters long. Using the information in the chart, find the length of the ribbon in meters.

a)

0.86 meters

b)

8.6 meters

c)

86 meters

d)

0.086 meters

37.

Mr. Rourke is 5 feet 8 inches tall. How tall is Mr. Rourke in inches?

a)

68 inches

b)

58 inches

c)

78 inches

d)

65 inches

38.

Greta wants to put ribbon around the perimeter of her art project. How many centimeters of ribbon will she need?

a)

50 centimeters

b)

40 centimeters

c)

60 centimeters

d)

30 centimeters

39.

Judith has a necklace with a mass of 65.736 grams. What is the mass of her necklace rounded to the nearest tenth?

a)

65.7 grams

b)

65.74 grams

c)

65.8 grams

d)

66.0 grams

40.

The post office is 3.56 kilometers from Maria’s house and 1.38 kilometers from Simon’s house. How much farther does Maria live from the library than Simon?

a)

4.94 kilometers

b)

2.28 kilometers

c)

2.18 kilometers

d)

1.18 kilometers

41.

Crystal’s tomato plant was 32.65 centimeters tall in June. During July, the plant grew 82.6 centimeters. How tall was Crystal’s tomato plant at the end of July?

a)

A. 409.1 centimeters

b)

B. 115.25 centimeters

c)

C. 49.95 centimeters

d)

D. 40.91 centimeters

42.

Rick and Chad are playing a number pattern game. Rick wrote the following pattern. 32.3, 34.5, 36.7, ____, 41.1 What is the unknown number in the pattern Rick wrote?

a)

37.9

b)

38.8

c)

38.9

d)

39.9

43.

Yolanda read her book for 1 1/5 hours Monday evening and for 2 3/5 hours on Tuesday evening. Which is the best estimate of the time Yolanda read on Monday and Tuesday?

a)

about 4/5 hour

b)

about 3 hours

c)

about 3 1/2 hours

d)

about 4 hours

44.

Francine has a piece of wood that is 5 5/12 feet long. She uses 3 1/4 feet of the wood for a science project. How much wood does Francine have left?

a)

8 2/3 feet

b)

3 2/12 feet

c)

2 4/12 feet

d)

2 2/12 feet

45.

Kevin has 3 bags of apples weighing a total of 22 1/2 pounds. Two of the bags weigh 6 3/8 pounds and 3 1/4 pounds. How much does the third bag weigh?

a)

11 7/8 pounds

b)

12 4/8 pounds

c)

12 7/8 pounds

d)

13 5/8 pounds

46.

Aisha hiked each day for a week. The first day she hiked 1/6 mile, the second day she hiked 1/2 mile, and the third day she hiked 5/6 mile. By how much did she increase the distance she hiked each day?

a)

9/6 miles

b)

5/6 mile

c)

1/2 mile

d)

1/3 mile

47.

A corn muffin recipe calls for 1/4 cup of cornmeal and 5/6 cup of flour. What is the least common denominator of the fractions?

a)

6

b)

12

c)

18

d)

24

48.

On a coordinate grid, Carrie's house is located 3 blocks to the right and 4 blocks up from (0, 0). Mike's house is located 2 blocks to the left and 2 blocks down from Carrie's house. What ordered pair describes the location of Mike's house?

a)

(1, 5)

b)

(2, 1)

c)

(1, 2)

d)

(5, 2)

49.

What is the unknown number in Sequence 2 in the chart?

a)

A. 64

b)

B. 80

c)

C. 96

d)

D. 106

50.

What rule relates the number of weeks and plant growth in inches?

a)

Multiply the number of weeks by 1 1/2

b)

Multiply the number of weeks by 1 1/3

c)

Multiply the number of weeks by 1 1/4

d)

Multiply the number of weeks by 1/2

51.

A baker is weighing the dough that will be used to make pastries. The line plot shows the weight of the dough for each pastry. How many pastries will be made from at least 3/8 pound of dough?

a)

4

b)

7

c)

8

d)

9

52.

Marvin is buying a new computer on layaway for 302 .If he makes a downpaymen of 302\ .If\ he\ makes\ a\ downpaymen\ of\ 50 and pays $28 each week, how many weeks will it take Marvin to pay for the computer?

a)

8

b)

9

c)

10

d)

12

53.

What type of quadrilateral is Mary's garden?

a)

rectangle

b)

rhombus

c)

square

d)

trapezoid

54.

Dmitri made a box with the dimensions shown to hold his modeling supplies. What is the volume of the box?

a)

8 cubic feet

b)

14 cubic feet

c)

16 cubic feet

d)

18 cubic feet

55.

The sidewalk tiles leading to the town library are shaped like regular hexagons. Which of the following describes a regular hexagon?

a)

a figure with 6 congruent sides and 6 congruent angles

b)

a figure with 6 sides and angles that are not congruent

c)

a figure with 5 sides and 5 angles that are not congruent

d)

a figure with 5 congruent sides and 5 congruent angles

56.

A toy box in the shape of a rectangular prism has a volume of 672 cubic inches. The base area of the toy box is 28 square inches. What is the height of the toy box?

a)

10 inches

b)

12 inches

c)

22 inches

d)

24 inches

57.

A pizza parlor uses 42 tomatoes for each batch of tomato sauce. About how many batches of sauce can the pizza parlor make from its last shipment of 1260 tomatoes?

a)

20

b)

30

c)

35

d)

48

58.

The art teacher has a list of 134 students who have signed up for art classes. The art teacher can register 8 students in each class. What is the least number of classes needed for all the students to be registered in a class?

a)

16

b)

17

c)

18

d)

19

59.

The number of roses Mr. Adams ordered for his store was three times as many as the number of carnations ordered. He ordered a total of 56 flowers. How many roses did Mr. Adams order?

a)

14

b)

28

c)

34

d)

42

60.

The owner of a clothing store received a shipment of 1,230 pairs of socks. The socks came in 36 boxes. The same number of pairs of socks were in 35 of the boxes. How many pairs of socks were in the last box?

a)

2

b)

5

c)

15

d)

35

61.

Jared uses 24 tiles to cover the top of his desk. Of the 24 tiles, 3/8 are blue. How many of the tiles are blue?

a)

3

b)

8

c)

9

d)

12

62.

Tony worked 4 2/3 hours on his science project. Sonia worked 1 1/4 times as long on her science project as Tony did. For how many hours did Sonia work on her science project?

a)

4 5/6 hours

b)

5 hours

c)

5 1/3 hours

d)

5 5/6 hours

63.

Julia had 2/3 quart of cleaning liquid. She used 1/4 of it to clean the sink counter. How much cleaning liquid did Julia use?

a)

1/8 quart

b)

1/6 quart

c)

1/2 quart

d)

5/12 quart

64.

Carlos had 24 class play tickets to sell. He sold 3/4 of the tickets. How many tickets did Carlos sell?

a)

16

b)

18

c)

24

d)

26

65.

Noreen made 8 2/3 cups of snack mix for a party. Her guests ate 3/4 of the mix. How much snack mix did her guests eat?

a)

5 1/4 cups

b)

5 3/4 cups

c)

6 5/12 cups

d)

6 1/2 cups

66.

Ganesh is stacking boxes in a storage room. There are 12 boxes in all. If each box weighs 9.6 pounds, how much do the boxes weigh altogether?

a)

11.25 pounds

b)

21.6 pounds

c)

115.2 pounds

d)

1,152 pounds

67.

The instruction booklet for a DVD player says that the player uses about 0.4 kilowatt of electricity per hour. If electricity costs $0.20 per kilowatt hour, how much does it cost to run the player for an hour?

a)

$0.08

b)

$0.80

c)

$8.00

d)

$80.00

68.

Rhianna was doing research for a report about the highest mountains in the United States. She read that the Grand Teton in Wyoming is about 1.37 × 10^4 feet high. How should Rhianna write the height of the Grand Teton in standard form on her report?

a)

137 feet

b)

1,370 feet

c)

13,700 feet

d)

137,000 feet

69.

Jeremy is training for a race. When he trains, he runs on a path that is 1.25 miles long. Last week, Jeremy ran on the path 7 times. How many miles did Jeremy run on the path last week?

a)

0.875 mile

b)

8.75 miles

c)

87.5 miles

d)

875 miles

70.

There is 1/3 pound of cake that will be shared equally among 4 friends. What fraction of a pound of cake will each friend get?

a)

1/12 pound

b)

1/6 pound

c)

1/2 pound

d)

3/4 pound

71.

At lunch, 5 friends share 3 pizzas equally. What fraction of a pizza does each friend get?

a)

3/5

b)

2/3

c)

3/4

d)

1 1/5

72.

Julie has 3/4 quart of fruit juice. She pours the same amount into each of 4 glasses. Which equation represents the fraction of a quart of fruit juice n that is in each glass?

a)

3/4 ÷ 1/4 = n

b)

4 ÷ 3/4 = n

c)

3/4 ÷ 4 = n

d)

3 ÷ 4 = n

73.

Terry evaluates 6 ÷ 1/8 by using a related multiplication expression. Which multiplication expression should he use?

a)

6 × 1/8

b)

1/6 × 1/8

c)

1/6 × 8

d)

6 × 8

74.

Eli made a loaf of bread. He gave equal portions of 1/2 of the loaf to 3 friends. What diagram could Eli use to find the fraction of the whole loaf of bread that each friend got?

a)

Diagram A

b)

Diagram B

c)

Diagram C

d)

Diagram D

75.

Lori rode her bicycle 19.5 miles in 3 hours. Which gives the best estimate of how far Lori rode in 1 hour?

a)

between 4 and 5 miles

b)

between 5 and 6 miles

c)

between 6 and 7 miles

d)

between 7 and 8 miles

76.

Roger is riding in a bike-a-thon to raise money for his favorite charity. The total distance of the bike-a-thon is 38.7 miles. So far he has completed 1/10 of the bike-a-thon. How many miles has Roger biked?

a)

387 miles

b)

38.7 miles

c)

3.87 miles

d)

0.387 mile

77.

Ellen is making small bags of confetti from a large bag of confetti that weighs 4.75 pounds. If she puts the same amount of confetti in each of 5 bags, how much should each bag weigh?

a)

0.09 pound

b)

0.9 pound

c)

0.95 pound

d)

9.1 pounds

78.

Trevor bought apples that cost 0.92 perpound. He paid0.92\ perpound.\ He\ paid 5.52 for the apples. How many pounds of apples did he buy?

a)

60 pounds

b)

6 pounds

c)

0.6 pound

d)

0.06 pound

79.

Carly spent a total of 18.20 on Saturday afternoon. She bought a movie ticket for18.20\ on\ Saturday\ afternoon.\ She\ bought\ a\ movie\ ticket\ for 8.25 and snacks for $3.85. She spent the rest of the money on bus fare to get to the movie and back home. How much was the bus fare each way if each trip cost the same amount?

a)

$2.20

b)

$3.05

c)

$6.10

d)

$6.20

80.

A publisher reports that it sold 1,516,792 travel magazines. What is the value of the digit 5 in 1,516,792?

a)

5,000

b)

50,000

c)

500,000

d)

5,000,000

81.

Martin is buying 400 video games for his entertainment store. Each video game costs $20. Which of the following could he use to find the total amount he will pay for the video games?

a)

(4 × 2) × 10² = 800

b)

(4 × 2) × 10³ = 8,000

c)

(4 × 2) × 10⁴ = 80,000

d)

(4 × 2) × 10⁵ = 800,000

82.

Jamie’s dad travels 365 miles every week for business. How many miles does he travel in 4 weeks?

a)

1,260 miles

b)

1,360 miles

c)

1,450 miles

d)

1,460 miles

83.

Amber and her friend Nathan are saving to buy a video game that costs 65. Amber earns65.\ Amber\ earns 12 per week for babysitting and spends 4 of it. Nathan earns4\ of\ it.\ Nathan\ earns 15 per week for walking dogs and spends $8 of it. Which expression can be used to find how many weeks it will take to save for the video game?

a)

65 ÷ [(12 – 4) + (15 – 8)]

b)

65 ÷ [(12 + 4) – (15 + 8)]

c)

65 ÷ [(12 – 4) + (15 + 8)]

d)

65 ÷ [(12 + 4) – (15 – 8)]

84.

Chen took 54 photos with his digital camera. He stored an equal number of photos in each of 6 folders on his computer. Which multiplication sentence could Chen use to find the number of photos in each folder?

a)

54 ÷ 6 = 9

b)

5 × 9 = 45

c)

6 × 9 = 54

d)

6 × 54 = 324

85.

Rachel’s home is 5 miles from her school. How many yards are in 5 miles?

a)

1,760 yards

b)

7,800 yards

c)

8,800 yards

d)

26,400 yards

86.

Sarah bought 6 pounds of clay for pottery class. How many ounces of clay did Sarah buy?

a)

48 ounces

b)

64 ounces

c)

80 ounces

d)

96 ounces

87.

The basketball game at the high school started at 7:30 P.M. and ended at 10:38 P.M. How long did the game last?

a)

A. 2 hours 8 minutes

b)

B. 2 hours 18 minutes

c)

C. 3 hours 8 minutes

d)

D. 3 hours 18 minutes

88.

Kate used 6.15 meters of ribbon to make bows. How many centimeters of ribbon did she use?

a)

615 centimeters

b)

61.5 centimeters

c)

6.15 centimeters

d)

0.615 centimeter