Math 1 (Milliner2)
Name:_____________________________________________
Date:________________________
1. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The shelf
will be attached to the wall, and Rachel needs to make two legs for support.
Part A
What is the total number of centimeters in 1.5 meters?
Part B
Rachel bought a piece of wood
meter long and had the store cut it into two equal pieces for the legs. Each piece
was
meter too short. What was the length Rachel needed each leg to be? Show your work and write your answer
as a fraction.
Part C
The width of Rachel’s shelf is
your work.
meter less than the length. What is the width of the shelf in centimeters? Show
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
1
Math 1 (Milliner2)
2. Marvin and Tomas ran a 5-kilometer race.
Part A
How many centimeters long is a 5-kilometer race? Show your work or explain your answer in words.
Part B
Marvin ran the race in 24 minutes and 33 seconds. Tomas ran the race in 26 minutes and 15 seconds. How much
longer did it take Tomas to run the race than Marvin? Show your work.
Part C
The race started at exactly 8:45 a.m. What time did Tomas finish the race, to the nearest whole minute? Show your
work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
2
Math 1 (Milliner2)
3. Mason used four rectangular pieces of wood to make a slide for his brother. Use these pieces to answer the
questions.
Part A
What is the difference, in square inches, in the areas of the top of piece B and the top of piece C? Show your work.
Part B
To keep the slide from moving, Mason put a piece of rubber around the perimeter of piece A. What was the length, in
inches, of the piece of rubber? Show your work.
Part C
Mason bought 48 square feet of wood. The price was $1 for 4 square feet of wood. What was the total cost of the
wood? Explain your answer.
Part D
Mason took $20 to the store to buy the wood. He used the money he had left to buy one bucket of paint and one paint
brush. Select one bucket of paint and one paint brush that Mason could have bought. Explain your choice.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
3
Math 1 (Milliner2)
4. A group of students walk or run laps around the school track each day after school. The line plot shows the
distances, in miles, the group of students completed one day.
Part A
What is the total number of miles the group of students completed that day? Show your work or explain your answer.
Part B
What is the difference, in miles, between the longest distance completed by one student and the shortest distance
completed by one student? Show your work.
Part C
One lap is equal to
work.
mile. What is the total number of laps the group of students completed that day? Show your
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
4
Math 1 (Milliner2)
5. Alice starts and finishes her guitar lesson at the times shown.
Part A
How long is Alice’s guitar lesson? Show your work using a number line.
Part B
What fraction of the hour did Alice spend in the guitar lesson? Show your work or explain your answer.
Part C
Alice’s guitar teacher has to change the start time of the lesson to 3:30 p.m. If the length of the lesson remains the
same, at which time will the guitar lesson now finish? Show your work or explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
5
Math 1 (Milliner2)
6. A box of pancake mix contains 40 ounces of mix. The amount of mix needed to make four 8-inch-diameter
pancakes is 2 cups.
Part A
How many ounces of mix are equal to 2 cups? Show your work.
Part B
How many 8-inch pancakes can be made using 40 ounces of pancake mix? Show your work or explain your answer.
Part C
More pancakes that have a 6-inch diameter can be made with 2 cups of pancake mix. What number of cups and what
number of pancakes would complete the table below? Explain your answer.
Part D
Which would use more cups of pancake mix?
• 14 pancakes with a 8-inch diameter
• 21 pancakes with a 6-inch diameter
Show your work or explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
6
Math 1 (Milliner2)
7. Andrew has 10 quarters, 4 dimes, and 6 nickels in a jar.
Part A
If there are no other coins or bills in the jar, what is the amount of money in Andrew’s jar? Show your work.
Part B
How many $1 bills can Andrew exchange for the coins he has in the jar? Explain your answer.
Part C
How much additional money does he need for a $5 bill? Explain your answer.
Part D
What is the least number of coins equal to the amount you got in Part C, using any combination of quarters, dimes, or
nickels? Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
7
Math 1 (Milliner2)
8. A rectangular space on a wall at school is used to post school announcements. The space is 3 feet in length and has
a perimeter of 12 feet.
Part A
What is the width, in feet, of the rectangular space? Show your work.
Part B
What is the area, in square feet, of the rectangular space? Show your work.
Part C
The rectangular area needs to be enlarged. The new rectangular area will be two times the area you found in Part B. If
the width remains the same, what is the length of the larger rectangular area? Show your work.
Part D
Look at the following statement.
If the area of a rectangle is doubled, then the perimeter of the larger rectangle will be two times the original perimeter.
Is this statement always true? Explain your answer by giving an example.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
8
Math 1 (Milliner2)
9. A group of friends bought some pizzas. Each pizza was cut into 8 equal slices. The table shows the number of
slices of pizza taken by all the friends.
Part A
Everyone in the group took at least one slice of pizza. Based on the data in the table, how many people were in the
group? Explain your answer.
Part B
Create a line plot using the number line shown below and the data in the table.
Part C
If no pizza slices were leftover, how many pizzas did the group buy? Show your work or explain your answer.
Part D
The cost of each pizza was $13. What was the cost of the pizzas before tax was added? Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
9
Math 1 (Milliner2)
10. Valerie baked one full pan of muffins. She gave
of the muffins to a neighbor. Which model could represent the
pan Valerie used for baking and the muffins that she has left?
A.
B.
C.
D.
10
Math 1 (Milliner2)
11. Jackie bought a bag of oranges.
•
She used
of the oranges to make orange juice.
She used
of the oranges to make a fruit salad.
•
•
She put
of the oranges in a bowl on the table.
She put
of the oranges in the refrigerator.
•
Which statement is true?
A. Jackie left more oranges on the table than she put in the refrigerator.
B. Jackie used fewer oranges to make orange juice than she left on the table.
C. Jackie put fewer oranges in the refrigerator than she used to make the fruit salad.
D. Jackie used more oranges to make a fruit salad than she used to make orange juice.
12. The distance from Atlanta to McDonough is about 30 miles. The distance from McDonough to Macon is two
times the distance from Atlanta to McDonough. Which equation best represents the distance from McDonough to
Macon?
A.
B.
C.
D.
11
Math 1 (Milliner2)
13. Mr. Michaels has 32 students in his class. He wants to arrange the rows with the same number of students in each
row. Which table shows all of the ways Mr. Michaels can arrange the students?
A.
B.
C.
12
Math 1 (Milliner2)
D.
14. The top of Stone Mountain in Georgia is 1,683 feet above sea level. The top of Sassafras Mountain in South
Carolina is 3,560 feet. Which statement about the value of the digit 3 in 3,560 is true?
A. It is ten times the value of 3 in 1,683.
B. It is one hundred times the value of 3 in 1,683.
C. It is one thousand times the value of 3 in 1,683.
D. It is two thousand times the value of 3 in 1,683.
15. A report stated that 281,305,769 people visited U.S. national parks in 2010. The author of a travel guide rounded
the number of visitors to 281,300,000. To which place value did the author round the number of people who visited
U.S. national parks in 2010?
A. ten millions
B. ten thousands
C. hundred millions
D. hundred thousands
13
Math 1 (Milliner2)
16. Three different reports give the number of people who attended a football game. Each report correctly rounds the
actual attendance to a different place value.
• Report A says the attendance was 192,000.
• Report B says the attendance was 200,000.
• Report C says the attendance was 190,000.
Which number could be the actual attendance at the football game?
A. 190,220
B. 191,804
C. 192,820
D. 199,018
14
Math 1 (Milliner2)
17. Tammy is playing a math game. She has a card with the fraction model shown.
She needs to find another card with a different fraction model that represents the same fraction as her card. Which
fraction model represents the same fraction as Tammy’s fraction model?
A.
B.
C.
D.
15
Math 1 (Milliner2)
18. Jack painted a picture using three colors.
•
of the picture is green.
•
of the picture is blue.
• The rest of the picture is purple.
Which fraction shows the part of Jack’s picture that is purple?
A.
B.
C.
D.
19. Amy has
packs of gum. Kim has
packs of gum. Each whole pack of gum has the same number of
pieces. A fraction model is shaded to represent this situation.
Which addition problem is equivalent to the one shown in the model?
A.
B.
C.
D.
16
Math 1 (Milliner2)
20. Which model is shaded to represent a fraction equivalent to
?
A.
B.
C.
D.
17
Math 1 (Milliner2)
21. The two spinners shown are used for a math game. On each turn, a player spins the arrows on both spinners.
The product of the two numbers determines a player’s move.
• 2 spaces forward if the product is a prime number
• 1 space forward if the product is even and composite
• 1 space backward if the product is odd and composite
Part A
List all the products that move the players 2 spaces forward.
Part B
List all the products that move the players 1 space forward.
Part C
List all the products that move the players 1 space backward.
Part D
The numbers on Spinner 2 were changed. The new products of the numbers on Spinner 1 and Spinner 2 are shown in
this chart. Each column of numbers follows a pattern.
Write the rules for the numbers in each column.
18
Math 1 (Milliner2)
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
22. Use this equation to answer Part A and Part B.
Part A
Each fraction in the equation should have a different numerator. Zero cannot be one of the numerators. What 3
numerators will make the equation true?
Part B
Draw a model to represent the equation. Use at least one numerator in your model that you did not use in Part A.
Part C
Evaluate the expression below. Show your work or explain your thinking.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
19
Math 1 (Milliner2)
23. Erica made a blanket using 12 cloth squares. She sewed decorations on the squares. All of the squares had more
than one decoration. Use the diagram shown to answer the questions.
Part A
Erica sewed flowers on
of the squares and birds on
of the squares.
Are there more squares with flowers or with birds? Explain your answer.
Part B
Erica made
of the squares pink and
of the squares purple. Fill in the number sentence to show the relationship
between the number of pink and purple squares using
Explain your answer.
Part C
There were more squares with stars than squares with flowers. Select the fraction that could represent the fraction of
squares with stars. Explain why you chose this fraction.
Part D
There were more squares with stars than squares with flowers. What is the fewest number of squares that must have
both a flower and a star? Show your work or explain your reasoning.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
20
Math 1 (Milliner2)
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
24. Marcus has 145 songs on his music player. Cory has 435 songs on his music player.
Part A
Write each number in word form.
Part B
Write an inequality using
know your answer is correct.
to compare the numbers of songs on each music player. Explain how you
Part C
Write each number in expanded form.
Part D
Cory added 24 new songs on his music player. Marcus added 6 times as many new songs on his player as Cory
added. What is the total number of songs on Marcus’s music player after this addition? Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
21
Math 1 (Milliner2)
25. Alicia saved three thousand, seven hundred twenty-four pennies.
Part A
Write the number of pennies Alicia saved in standard and expanded forms.
Part B
If Alicia trades in all of her pennies for nickels, what is the greatest number of nickels she can get? How many
pennies will Alicia have left over? Show work or explain how you got your answer.
Part C
Alicia stated that she would get 10 times as many dimes as nickels if she traded her pennies for dimes. Is her
statement true? Why or why not? Show your work or explain your answer.
Part D
Alicia plans to cash in her pennies at the bank. What is the number of dollars and cents she should receive from all of
her pennies? Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
22
Math 1 (Milliner2)
26. Each month Aiden pays his bills. Answer each question about Aiden’s bills.
Part A
Aiden has $3,942. He pays $362 for his electricity. He also pays $1,070 for his house. How much money will he have
left after he pays these two bills? Show your work.
Part B
Aiden is writing 2 checks to pay for his electricity and house.
Write each amount in words.
Part C
In 6 months, Aiden pays a total of $162 for his home phone and a total of $618 for his cell phone. He pays an equal
amount each month. What is the amount he pays in one month for his home phone and cell phone together?
Part D
Aiden pays $89 each month for cable TV. He worked the multiplication problem below and stated that he pays $267
for the whole year.
What is the error that Aiden made? Give a complete explanation of your answer.
23
Math 1 (Milliner2)
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
27. The diagram shows counters on place-value cards.
Part A
What number is represented by the counters? Divide this number by 3. Show your work or explain your answer in
words.
Part B
Round the number represented by the counters to the nearest ten. Explain your answer.
Part C
Make a model of a different number using place-value cards like the ones shown. Put an equal number of counters on
the thousands card and the tens card. Write the number that your model represents. How many times greater is the
value of the digit in the thousands place than the value of the digit in the tens place?
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
24
Math 1 (Milliner2)
28. Maria earns $25 working after school. She decides to spend the $25 at the school store to buy gifts for her friends.
Part A
The total price of how many key chains equals the price of 1 T-shirt? Show your work or explain your answer.
Part B
Maria decides to buy 4 key chains. She then buys as many book covers as possible. Explain if Maria can buy anything
else after she buys the book covers. Show your work.
Part C
Maria goes to the school store again with $25. She buys the greatest number of different items that she can buy. Her
purchase is equal to all of the money she brought this time. Which items can Maria buy and spend all $25? Explain
your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
25
Math 1 (Milliner2)
29. Emily makes a necklace with three types of beads. The length and width of each bead is shown in centimeters
(cm).
Part A
The striped bead is
cm long. Write this length as a decimal.
Part B
The widths of the striped bead and the white bead are
using the symbols
cm and
cm. Write a comparison of these two widths
Part C
Emily does the work shown below to determine how much longer the striped bead is than the white bead.
Do you agree with Emily’s work? Explain why you agree or disagree.
Part D
The length of the gray bead is more than 4.65 cm but less than
Explain your answer.
cm. What could be the length of the gray bead?
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
26
Math 1 (Milliner2)
30. A carpenter needs 16 pieces of painter’s tape that measure
foot each.
Part A
How many feet of painting tape does the carpenter need? Show your work or explain your answer.
Part B
The carpenter has 5 yards of painter’s tape. Does he have as much tape as he needs? Explain your answer by showing
your work or using a model.
Part C
The carpenter places two of the
-foot pieces of tape end-to-end. What is the total length, in inches , of the two
pieces of tape? Show your work or explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
27
Math 1 (Milliner2)
31. Sherry drew a pizza with equal sized slices and labeled each slice with its topping.
Part A
What fraction of Sherry’s pizza has onions as a topping? What fraction of the pizza has a topping other than onions?
Explain your answers.
Part B
What fraction of the pizza has bacon or beef? Show your work or explain your answer.
Part C
Sherry’s favorite toppings are bacon, olives, and cheese. What fraction of the pizza has Sherry’s favorite toppings?
Show your work or explain your answer.
Part D
Which two different toppings were used for exactly
of the pizza? Show your work or explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
28
Math 1 (Milliner2)
32. Teresa has a math worksheet to practice adding fractions. In the exercise shown, she needs to choose two of the
fractions or mixed numbers with a sum of
Part A
Which two fractions or mixed numbers have a sum of
Show your work.
Part B
Solve the subtraction problem
Make a fraction model to support your answer.
Part C
Compare the fractions
statement true?
and
Which symbol
should be placed in the box to make the number
Explain how you know which symbol to use.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
29
Math 1 (Milliner2)
33. A candy shop sells fudge in two sizes. The weight of each type of box is shown in the picture below.
Part A
Gina is buying 2 small boxes and 3 large boxes of fudge from the shop. What is the total weight, in pounds, of these
boxes of fudge? Show your work.
Part B
A small box of fudge costs $12. A large box of fudge costs $20. What is the total cost of the boxes of fudge Gina is
buying? Show your work.
Part C
Last week Gina bought 1 large box of fudge and some small boxes of fudge. The cost of all the boxes of fudge was
$56. What was the total weight, in pounds, of the fudge she bought last week? Explain how you got your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
30
Math 1 (Milliner2)
34. The table shows the lengths of some of the hiking trails at a state park.
Part A
Martin hiked the Sycamore trail and the Mountaintop trail last week. What was the total distance he hiked? Show
your work.
Part B
Merrilee hiked the Elkhorn trail and Kevin hiked the Meadowland trail. How much farther did Merrilee hike than
Kevin? Show your work.
Part C
Tynan wants to hike 3 different trails totaling at least 15 miles. Explain whether or not there is more than one
combination of 3 different trails she can choose that will be a distance of at least 15 miles. Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
31
Math 1 (Milliner2)
35. A teacher has two pieces of ribbon. One piece is
of a meter long. The other piece is
of a meter long.
Part A
What is the total length, in meters, of the two ribbons? Show your work.
Part B
What is the total length, in centimeters , of the ribbon? Show your work.
Part C
The teacher plans to use the shorter piece of ribbon to glue around the outside of a square picture. If no space around
the picture is left, what is the greatest length, in centimeters, that one side of the square can be? Show your work or
explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
32
Math 1 (Milliner2)
36. Jon runs or walks the same distance around his neighborhood every day for exercise. One complete circle around
his neighborhood is 2.5 miles starting and ending at his home.
Part A
On Monday, Jon ran and walked in this order.
• He started by running 0.8 mile.
• He then walked 0.6 mile.
• Jon finished the circle by running the rest of the way home.
How far did Jon run to finish his exercise on Monday? Express the distance as a fraction. Show your work. You may
use the tape diagram below to help answer the question.
Part B
Jon changed his exercise pattern on Tuesday so that he ran three times and walked two times.
• He started running and then switched between walking and running.
• Each section that he walked or ran was the same distance.
Describe the pattern Jon used on Tuesday to complete one circle around his neighborhood. You may use the tape
diagram below to help describe the pattern.
Part C
Jon likes to run more than walk. Think of a new pattern for Jon to run and walk one complete circle around his
neighborhood.
• For this pattern Jon will run twice and walk twice.
• Make each section a different distance.
• Make Jon’s total running distance longer than his total walking distance.
Describe a pattern that fits all of these rules. How much farther does Jon run than walk in your pattern?
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
33
Math 1 (Milliner2)
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
34
Math 1 (Milliner2)
37. Joel is practicing his multiplication skills. He is looking for patterns when he multiplies a number by 35.
Part A
Joel multiplied
using the area model shown.
Complete the area model and write the value of
Part B
Joel found the product of
. Show your work.
.
in a different way. Use a way other than an area model to find the product of
Part C
Joel multiplied more numbers by 35 and made the table below.
The answers from Part A and Part B will complete the table. What do you notice about the last digit for all the
multiples of 35?
Part D
Joel guessed that 35 times an even number always has a last digit of 0. Explain in words why the area model in Part A
shows that Joel’s guess is correct.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
35
Math 1 (Milliner2)
38. Sophie has candy hearts to give to classmates. She makes the array shown to help group the candy.
Part A
How many groups of 7 candy hearts can be made with the hearts in the array? Show your work.
Part B
Write a division equation showing how many groups of 7 candy hearts Sophie can make.
Part C
Sophie eats 6 candy hearts. How many groups of 7 candy hearts are left in the array now? What does the remainder
mean for this situation? Show your work and explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
36
Math 1 (Milliner2)
39. This table shows the number of students in some of the grades at an elementary school.
Part A
What is the total number of students in grades K through 3? Show your work.
Part B
The elementary school has 697 students in all. What is the total number of students in grades 4 and 5 together? Show
your work.
Part C
Grade 4 has 30 more students than grade 5. How many students are in grade 4, and how many students are in grade 5?
Part D
A table in the cafeteria can have up to 9 students. How many tables are needed for each grade?
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
37
Math 1 (Milliner2)
40. A sheet of scented stickers has 18 stickers. There are 36 sheets of scented stickers in one package.
Part A
How many scented stickers are in one package? Show your work.
Part B
A store has 20 packages of the scented stickers. What is the total number of scented stickers the store has? Show your
work.
Part C
The store also sells star-shaped stickers. The total number of star-shaped stickers in one package can be calculated
using the expression
Based on this expression, how many star-shaped stickers are on one
sheet and how many sheets are in one package? Label your answers.
Part D
The store always keeps between 1 and 20 whole packages of stickers of each type of sticker. Is it possible for the
store to have the same total number of scented and star-shaped stickers? Explain your answer and show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
38
Math 1 (Milliner2)
41. Complete the rounding table to answer the questions.
Part A
Write the rounded values in order from least to greatest. Use the appropriate comparison symbol
your answer.
in
Part B
Brody states that the rounded values for 416,283 are always less than the original value of the number. Do you agree
or disagree with Brody? Use the rounded numbers in Part A to explain why you agree or disagree.
Part C
If all of the rounded numbers are plotted on a number line, which numbers would be 200 or less away from 416,283?
Explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
39
Math 1 (Milliner2)
42. The models shown are shaded to represent Fraction 1 and Fraction 2.
Part A
Write an equation or inequality that compares the sizes of these two fractions. Use the correct symbol
Explain how you compared their sizes.
or
Part B
A new unshaded model labeled Fraction 3 is shown.
What fraction of the whole does each section of Fraction 3 represent? Is one section of the Fraction 3 model greater or
less than one section of the Fraction 1 model? Explain your answer.
Part C
How many sections of the model would you shade to make Fraction 3 greater than Fraction 1 but less than one
whole? Use the fraction that your shaded model would represent to write an inequality that compares it to Fraction 1.
Part D
Draw a model with a different number of sections from the model of Fraction 3 to represent a fraction that is equal to
Fraction 3. Explain how you know that the two fractions are equal.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
40
Math 1 (Milliner2)
43. A fruit stand has four kinds of fruit sorted into bags.
• The bag of oranges is 6 times the weight of the bag of lemons.
• The bag of lemons weighs 4 times as many pounds as the bag of limes.
• The weight of the bag of lemons is 8 pounds.
Part A
Write two number sentences to show how many pounds the bag of oranges weighs and how many pounds the bag of
limes weighs. Explain how you know what operation to use for each number sentence.
Part B
A bag of apples weighs 40 pounds. How many pounds more or less than the bag of oranges in Part A do the apples
weigh? Use an equation to show how you got your answer.
Part C
The lemons and limes are combined in one bag. What is the difference between the weight of the bag of apples and
the weight of the bag of lemons and limes? Use equations to explain how you got your answer.
Part D
The fruit stand sold all of the fruit except for 9 pounds of oranges. What was the total number of pounds of fruit sold?
Use equations to explain how you got your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
41
Math 1 (Milliner2)
44. Mr. Lee wrote these three numbers on the chalkboard.
Part A
Which symbol of comparison
Explain your answer.
should be placed in the box to make the number sentence true?
Part B
Write
as a decimal.
Part C
Is the value of
greater than both of the other numbers, less than both of the other numbers, or between the
values of the other numbers? Explain your answer.
Part D
Mr. Lee drew a model of a fourth number on the board. He used base 10 blocks like the one shown.
• The fourth number is greater than two of the other numbers.
• The fourth number is less than one of the other numbers.
Draw a model using base 10 blocks that Mr. Lee could have drawn. Write the value of your model.
Which two numbers that Mr. Lee wrote on the chalkboard are less than the value of your model?
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
42
Math 1 (Milliner2)
45. A worker has a piece of rope. He marked it with a felt-tip to show where he would cut the rope into seven pieces.
Then he measured the length, in meters, of each piece he had marked.
Part A
One piece is 5.6 meters long. Another piece is 5.06 meters long. Write a number sentence that compares these two
lengths using
Explain why your number sentence is correct.
Part B
The worker wrote an inequality comparing the lengths, in meters, of two other pieces marked on the rope.
The number that goes in the box is the greatest number that still makes the number sentence true. What is the length,
in meters, of the piece with the missing number? Explain how you got your answer.
Part C
The worker wrote the lengths of the last three pieces in fraction form.
Rewrite these fractions as decimals. What is the length of the whole rope, in meters, before the worker cuts it? Show
your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
43
Math 1 (Milliner2)
Answer Key
1.
2.
3.
4.
5.
6.
7.
8.
9.
10. A)
11. C) Jackie put fewer oranges in the refrigerator than she used to make the fruit salad.
12. D)
13. B)
14. C) It is one thousand times the value of 3 in 1,683.
44
Math 1 (Milliner2)
15. D) hundred thousands
16. B) 191,804
17. B)
18. A)
19. D)
20. B)
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
45
Math 1 (Milliner2)
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46