IAR: Grade 5 - Math - Sara Cowley | Library

1

Which statement about the corresponding terms in both Pattern A and Pattern B is always true?

Pattern A: 0, 5, 10, 15, 20, 25, 30
Pattern B: 0, 10, 20, 30, 40, 50, 60

1

Shannon is building a rectangular garden that is 18 feet wide and 27 feet long.

Part A
Write an equation that represents the area of Shannon's garden. In your equation, let g represent the area of Shannon's garden. Then solve your equation.
Enter your equation here: _______
Enter your solution here: _______ 

Part B
Shannon is putting a fence around the garden, except where there is a gate that is 3 feet wide.

One foot of the fence costs $43. The cost of the gate is $128.

Write an expression that represents the total cost of the fence and the gate. _______ 

Explain how you determined your expression. Use the Show Your Work space.

Part C
Use your expression from Part B to find the total cost, in dollars, of the fence and the gate. _______ 

1

For each sentence, select the option from the drop-down menu that correctly compares the values.

The value of the 6 in 26.495 is __________ the value of the 6 in 17.64.

The value of the 3 in 0.931 is __________ the value of the 3 in 0.384.

1

Graph points A, B, and C on the coordinate plane. Point A should be located at (4,6),(4,6), point B should be located at (6,4),(6,4), and point C should be located at (3,0).

Use the circle shape drawing tool to plot the points, selecting the appropriate colors before plotting each one: Point A is blue, Point B is purple, Point C is black.

1

The right rectangular prism shown is made from cubes. Each cube is 1 cubic unit.

What is the volume, in cubic units, of the right rectangular prism?

Enter your answer in the box.

_______ cubic units

1

On Saturday, Craig rode his bike 5/8 of a mile. On Sunday, he rode his bike 1/2 of a mile. Craig added 5/8 and 1/2 to find the total distance, in miles, he rode his bike on the two days. Craig said 5/8 + 1/2 = 6/10 and plotted 6/10 on this number line.

Explain why Craig’s answer is not reasonable.
Find the total distance, in miles, Craig rode on his bike on Saturday and Sunday. Enter your answer in this box: _______ 
Explain how to use the number line to show your answer is correct.
Enter your explanations in the Show Your Work space.

1

Drag and drop the names to complete the diagram that shows the relationship among the figures listed. Each category will be used only once.

Other Answer Choices:

rhombuses

quadrilaterals

parallelograms

rectangles

1

Drag and drop the expression that matches each statement into the correct box. Each expression may be used more than once or not at all.

The sum of 2 and 4 subtracted from 9. ________ 

Add 2 and 4, then subtract 9. ________ 

Subtract 2 from 9, then add 4.  ________

Other Answer Choices:

1

Greg is volunteering at a track meet. He is in charge of providing the bottled water. Greg knows these facts:
The track meet will last 3 days.
There will be 117 athletes, 7 coaches, and 4 judges attending the track meet.
One case of bottled water contains 24 bottles.
The table shows the number of bottles of water each athlete, coach, and judge will get for each day of the track meet.


What is the fewest number of cases of bottled water Greg will need to provide for all the athletes, coaches, and judges at the track meet? Enter your answer in the box: _______ 

Show your work or explain how you found your answer using equations.
Enter your explanation in the Show Your Work space.

1

Select from the drop-down menus to correctly complete each comparison.

4.408 __________ four and forty-eight thousandths

Six hundred ninety-one and five hundredths __________6\times100+9\times10+1\times1+8\times\frac{1}{1,000}

1

Len walks 3/10 mile in the morning to school. He walks 2/5 mile in the afternoon to a friends house.

Len says that he walks a total of 5/15 mile in the morning and afternoon.

Which two statements are true?

1

There are two tanks at the aquarium, Tank A and Tank B. Each tank has two sections.

Part A
The volume of one section of Tank A is 24 cubic feet. The volume of the other section of Tank A is 96 cubic feet.

What is the total volume, in cubic feet, of Tank A? 
Write the letter of your answer in the box (A, B, C, or D): _______ 

A. 4

B. 72

C. 120

D. 2,304

Part B
Tank B has the same volume as Tank A.

The volume of one section of Tank B is 45 cubic feet. What is the volume, in cubic feet, of the other section of Tank B?

Enter your answer in the box:

_______  cubic feet

1

Solve.

1

Jen makes a rectangular banner. It is 3/4 yard long and 1/4 yard wide.

What is the area, in square yards, of the banner?

Enter your answer in the box. Enter only your fraction: _______ 

1

Emma has a board that is 5 feet long. She cuts the board into 6 equal pieces.

Which equation shows how to find the length, in feet, of each piece of the board?

1

Which of these are equal to 83.041?

Select the two correct answers.

1

An egg farm packages 264 total cartons of eggs each month. The farm has 3 different sizes of cartons.
The small carton holds 8 eggs, and 1/6 of the total cartons are small.
The medium carton holds 12 eggs, and 2/3 of the total cartons are medium.
The large carton holds 18 eggs, and the rest of the total cartons are large.
Determine how many of each size of carton is needed each month:
Small: _______   Medium: _______    Large: _______ 
Then determine how many eggs are needed to fill the 264 cartons: _______ 

Show your work or explain your answers.
Enter your explanations in the Show Your Work space.

1

Part A
Enter your answer in the box.

6.3\times0.1= _______ 

Part B
Enter your answer in the box.

6.3\div0.1= _______ 

1

Solve.


Enter your answer in the space provided. Enter only your answer.
_______ 

1

A teacher drew an area model to find the value of 6,986\div8 .

Determine the number that each letter in the model represents and explain each of your answers. Put your explanations in the Show Your Work space.
M _______     N _______     P _______     Q _______     R _______ 
Write the quotient and remainder for 6,986\div8 . _______ 
Explain how to use multiplication to check that the quotient is correct. Show your work and write your explanation in the Show Your Work space.

1

Enter your answer in the box.
0.35\times1.5= _______ 

1

Jim uses ribbon to make bookmarks. Jim has 9 feet of ribbon. He uses 1/3 foot of ribbon to make each bookmark.

What is the total number of bookmarks Jim makes with all 9 feet of ribbon?

Enter your answer in the box.

_______  bookmarks

1

Mia is playing several rounds of a word game. Each coordinate pair shows the number of the round and Mia’s score for that round. She is keeping track of these coordinate pairs on a coordinate plane.
Round 1: (1, 3)
Round 2: (2, 6)
Round 3: (3, 3)
Part A
Graph Mia’s scores for the first three rounds of play on the coordinate plane in the Show Your Work space.

Use the circle shape drawing tool to plot the points, selecting the appropriate colors before plotting each one: Point A is blue, Point B is purple, Point C is black.

Be sure to graph all three points.

Part B
In round 4, Mia scores the same number of points as in rounds 2 and 3 combined.
What is the coordinate pair that represents Mia’s score for round 4? Click your answer below:

A. (4, 5)

B. (9, 4)

C. (5, 4)

D. (4, 9)

1

Complete each conversion by dragging and dropping the correct number into each box. 

7 mm =  ________  cm
7 cm = _________  m
__________  m = 7 km

Other Answer Choices:

0.7

700

70

7,000

0.07

1

Which expression is equal to 7/8?

1

A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.

What is the volume, in cubic centimeters, of the cereal box?

Enter your answer in the box.

_______  cubic centimeters

1

In this right rectangular prism, each small cube measures 1 unit on each side.


What is the volume of the prism? _______ 
In the Show Your Work space, explain how you found the volume and show your work.
What would be the dimensions of a new right rectangular prism that has 20 fewer unit cubes than the original prism? _______ 
In the Show Your Work space, explain how you determined the dimensions of the new right rectangular prism.

1

Kurt drew a rectangular maze with a length of 3/4 foot and a width of 5/12 foot.

What is the area, in square feet, of Kurt’s maze?

Enter your answer in the space provided. Enter only your fraction.
_______ 

1

Which explanation about figures is correct?

1

Drag and drop one number into each box. When you are finished, the number inside each box should match the number next to the box when rounded to the nearest hundredth.
07 __________ 
08 __________ 
10 __________ 
11 __________ 

Other Answer Choices:

5.025

5.079

5.103

5.117

5.108

5.066

1

Tom has a water tank that holds 5 gallons of water.

Part A
Tom uses water from a full tank to fill 6 bottles that each hold 16 ounces and a pitcher that holds 1/2 gallon.

How many ounces of water are left in the water tank?

Enter your answer in the box.

_______  ounces

Part B
Tom drinks 4 pints of water a day.

How many full tanks of water will he drink in 30 days?

Enter your answer in the box.

_______  full tanks of water

IAR: Grade 5 - Math

IAR: Grade 5 - Math

Which statement about the corresponding terms in both Pattern A and Pattern B is always true?Pattern A: 0, 5, 10, 15, 20, 25, 30Pattern B: 0, 10, 20, 30, 40, 50, 60

Part A

Part B

Part C

Len walks 3/10 mile in the morning to school. He walks 2/5 mile in the afternoon to a friends house.Len says that he walks a total of 5/15 mile in the morning and afternoon.Which two statements are true?

Part A

Part B

Solve.

Emma has a board that is 5 feet long. She cuts the board into 6 equal pieces.Which equation shows how to find the length, in feet, of each piece of the board?

Which of these are equal to 83.041?Select the two correct answers.

Part A

Part B

Part A

Part B

Which expression is equal to 7/8?

Which explanation about figures is correct?

Part A

Part B

Which statement about the corresponding terms in both Pattern A and Pattern B is always true?Pattern A: 0, 5, 10, 15, 20, 25, 30Pattern B: 0, 10, 20, 30, 40, 50, 60

Part A

Part B

Part C

Len walks 3/10 mile in the morning to school. He walks 2/5 mile in the afternoon to a friends house.Len says that he walks a total of 5/15 mile in the morning and afternoon.Which two statements are true?

Part A

Part B

Solve.

Emma has a board that is 5 feet long. She cuts the board into 6 equal pieces.Which equation shows how to find the length, in feet, of each piece of the board?

Which of these are equal to 83.041?Select the two correct answers.

Part A

Part B

Part A

Part B

Which expression is equal to 7/8?

Which explanation about figures is correct?

Part A

Part B

Which statement about the corresponding terms in both Pattern A and Pattern B is always true?

Pattern A: 0, 5, 10, 15, 20, 25, 30
Pattern B: 0, 10, 20, 30, 40, 50, 60

Len walks 3/10 mile in the morning to school. He walks 2/5 mile in the afternoon to a friends house.

Len says that he walks a total of 5/15 mile in the morning and afternoon.

Which two statements are true?

Emma has a board that is 5 feet long. She cuts the board into 6 equal pieces.

Which equation shows how to find the length, in feet, of each piece of the board?

Which of these are equal to 83.041?

Select the two correct answers.

Which statement about the corresponding terms in both Pattern A and Pattern B is always true?

Pattern A: 0, 5, 10, 15, 20, 25, 30
Pattern B: 0, 10, 20, 30, 40, 50, 60

Len walks 3/10 mile in the morning to school. He walks 2/5 mile in the afternoon to a friends house.

Len says that he walks a total of 5/15 mile in the morning and afternoon.

Which two statements are true?

Emma has a board that is 5 feet long. She cuts the board into 6 equal pieces.

Which equation shows how to find the length, in feet, of each piece of the board?

Which of these are equal to 83.041?

Select the two correct answers.