Math G5 Module 11

Multiple Choice

 $\frac{2}{3}\times\frac{1}{6}$  

•  $\frac{1}{2}$  

•  $\frac{2}{9}$  

•  $\frac{1}{3}$  

•  $\frac{1}{9}$  

Multiple Choice

 $\frac{1}{4}\times\frac{1}{4}$  

•  $\frac{1}{2}$  

•  $\frac{1}{8}$  

•  $\frac{1}{4}$  

•  $\frac{1}{16}$  

Multiple Choice

Multiply 18 by  $\frac{1}{2}$  .

• 3

• 6

• 9

• 36

Multiple Choice

Kurt runs 3 1/4 miles every morning. How many miles does he run in 5 days?

• $15\ \frac{1}{4}$

• $15\ \frac{3}{4}$

• $16\ \frac{1}{4}$

• $18\ \frac{1}{2}$

Multiple Choice

What is  $\frac{3}{4}$  of 16?

•  $6$  

•  $9\ \frac{1}{2}$   

•  $12$  

•  $14\ \frac{1}{4}$  

Multiple Choice

What number is equal to the reciprocal of  $\frac{8}{2}?$  

•  $\frac{1}{4}$  

•  $\frac{1}{2}$  

•  $2$  

•  $4$  

Multiple Choice

 $Divide\ \frac{1}{6}\ by\ \frac{1}{2}.$  

•  $\frac{1}{12}$  

•  $\frac{1}{3}$  

•  $3$  

•  $12$  

Multiple Choice

 $Divide\ 18\ by\ \frac{1}{3}.$  

• 3

• 6

• 17

• 54

Multiple Choice

Freida has 3/4 gallon of water with fertilizer for her seedlings. She is giving each seedling 1/8 of a gallon of the water. How many seedlings can she water?

• $\frac{1}{4}$

• $3$

• $4$

• $6$

Multiple Choice

A 12-mile hiking trail has a marker every 1/6 of a mile. How many markers are on the trail?

• 2

• 36

• 48

• 72

Multiple Choice

A pitcher of water contains 1/4

liters of water. The water is poured equally into 5 glasses. How much liter of water is poured to each glass?

What expression would match the story problem?

• 
  

  $5\div\frac{1}{4}$

• $\frac{1}{4}\div5$

• $5\ \times\ \frac{1}{4}$

• $\frac{1}{4}\times5$

Multiple Choice

What is the recriprocal of 5

• 5/1
• 1/5

Multiple Choice

 $\frac{2}{4}\times\frac{1}{2}$  

•  $\frac{3}{6}$  

•  $\frac{3}{8}$  

•  $\frac{1}{4}$  

•  $\frac{1}{3}$  

Multiple Choice

A baker has 24 cupcakes.
 $\frac{1}{4}$  of them are chocolate.The rest are strawberry.How many are strawberry?

• 6

• 8

• 12

• 18

Multiple Choice

What is the value of the expression?

 $5\div\frac{1}{5}$  

•  $\frac{1}{5}$  

•  $\frac{1}{25}$  
  

•  $5$  
  

•  $25$  
  

Multiple Select

 $Find\ \frac{1}{3}\div\frac{5}{6}$  

•  $\frac{2}{5}$  

•  $\frac{1}{5}$  

•  $\frac{5}{18}$  

•  $\frac{15}{6}$  

Multiple Choice

Damien has a bucket of popcorn. He puts $\frac{1}{2}$   of it away for later.  The rest of the popcorn is shared with himself and 3 friends. What fraction of the bucket of popcorn does each person get?

•  $\frac{1}{6}$  

•  $\frac{3}{2}$  

•  $\frac{1}{8}$  

• 1

Multiple Choice

The cows were given 8 gallons of water to drink. Each cow drank  $\frac{1}{2}$   gallon of water. How many cows drank water?

• 4

• 32

• 16

• 10

Multiple Choice

Which expression does this model show?

•  $3\div\frac{1}{4}$  

  
  

•  $\frac{1}{4}$  x 3

• 1 ÷ 4

• 4 x  $\frac{1}{4}$  

Multiple Choice

Which expression does this model show?

• $5\div\frac{1}{4}$

  
  

• $\frac{4}{5}$ ÷ 5

• 5 x $\frac{4}{5}$

Operations and Algebraic Thinking

NC.5.OA2 Write and interpret numerical expressions

WrIte, explain, and evaluate numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving: • Parentheses, using the order of operations. • Commutative, associative and distributive properties.

NC.5.OA.3 Analyze patterns and relationships

Generate two numerical patterns using two given rules. • Identify apparent relationships between corresponding terms. • Form ordered pairs consisting of corresponding terms from the two patterns. • Graph the ordered pairs on a coordinate plane.

Multiple Choice

Mia wants to buy 3 notebooks for $1.29 each. Which expression shows how to find the total cost?

• 3 – 1.29

• 3 × 1.29 

• $$3\div1.29$$

• $$3+1.29$$

Number and Operations in Base Ten

Understand the place value system.

NC.5.NBT.1

Explain the patterns in the place value system from one million to the thousandths place. • Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. • Explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, and 0.01 and/or divided by 10 and 100.

NC.5.NBT.3

Read, write, and compare decimals to thousandths. • Write decimals using base-ten numerals, number names, and expanded form. • Compare two decimals to thousandths based on the value of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Multiple Choice

*A sports store has 468 golf balls. They will be put into boxes that hold 18 balls each. What is the minimum number of boxes needed for all of the golf balls? 

• 26

• 27

• 28

• 29

Number and Operations in Base Ten

Perform operations with multi-digit whole numbers.

NC.5.NBT.5

Demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number using the standard algorithm.

NC.5.NBT.6

Find quotients with remainders when dividing whole numbers with up to four-digit dividends and two-digit divisors using rectangular arrays, area models, repeated subtraction, partial quotients, and/or the relationship between multiplication and division. Use models to make connections and develop the algorithm

Perform operations with decimals.

NC.5.NBT.7 Compute and solve real-world problems with multi-digit whole numbers and decimal numbers. • Add and subtract decimals to thousandths using models, drawings or strategies based on place value. • Multiply decimals with a product to thousandths using models, drawings, or strategies based on place value. • Divide a whole number by a decimal and divide a decimal by a whole number, using repeated subtraction or area models. Decimals should be limited to hundredths. • Use estimation strategies to assess reasonableness of answers.

Multiple Choice

Richard walked 15.74 miles and James walked 12.98 miles. How many more miles did Richard walk than James? 

• 2.76 

• 2.86

• 3.76 

• 3.86 

Multiple Choice

A supermarket has 238 large boxes of cereal. Each large box holds 32 small bags of cereal. How many small bags of cereal are in the supermarket?

• 6,506 bags

• 6,616 bags 

• 7,506 bags

• 7,616 bags 

Number and Operations – Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

NC.5.NF.1 Add and subtract fractions, including mixed numbers, with unlike denominators using related fractions: halves, fourths and eighths; thirds, sixths, and twelfths; fifths, tenths, and hundredths. • Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. • Solve one- and two-step word problems in context using area and length models to develop the algorithm. Represent the word problem in an equation.

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

NC.5.NF.3 Use fractions to model and solve division problems. • Interpret a fraction as an equal sharing context, where a quantity is divided into equal parts. • Model and interpret a fraction as the division of the numerator by the denominator. • Solve one-step word problems involving division of whole numbers leading to answers in the form of fractions and mixed numbers, with denominators of 2, 3, 4, 5, 6, 8, 10, and 12, using area, length, and set models or equations.

NC.5.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers. • Use area and length models to multiply two fractions, with the denominators 2, 3, 4. • Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and when multiplying a given number by a fraction less than 1 results in a product smaller than the given number. • Solve one-step word problems involving multiplication of fractions using models to develop the algorithm.

NC.5.NF.7 Solve one-step word problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions using area and length models, and equations to represent the problem.

Multiple Choice

*After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get? 

• 1 /8

• 1 /3 

• 3/8

• 8/3

Multiple Choice

Tracie ran a total of 5 3/4 miles on Saturday and Sunday. She ran 1 5/8 miles on Saturday. How many miles did Tracie run on Sunday? 

• 3 7/8

• 4 1/8

• 4 1/4

• 4 1/2

Measurement and Data

Convert like measurement units within a given measurement system.

NC.5.MD.1 Given a conversion chart, use multiplicative reasoning to solve one-step conversion problems within a given measurement system.

Represent and interpret data.

NC.5.MD.2 Represent and interpret data. • Collect data by asking a question that yields data that changes over time. • Make and interpret a representation of data using a line graph. • Determine whether a survey question will yield categorical or numerical data, or data that changes over time.

Understand concepts of volume.

NC.5.MD.4 Recognize volume as an attribute of solid figures and measure volume by counting unit cubes, using cubic centimeters, cubic inches, cubic feet, and improvised units.

NC.5.MD.5 Relate volume to the operations of multiplication and addition. • Find the volume of a rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths. • Build understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems. • Find volume of solid figures with one-digit dimensions composed of two non-overlapping rectangular prisms.

Multiple Choice

*The length of a shoe is 25 centimeters. How long is the shoe in meters? (Note: 1 meter = 100 centimeters) 

• 0.25 meter

• 2.5 meters 

• 250 meters 

• 2,500 meters

Geometry

Understand the coordinate plane.

NC.5.G.1 Graph points in the first quadrant of a coordinate plane, and identify and interpret the x and y coordinates to solve problems. Classify quadrilaterals.

NC.5.G.3 Classify quadrilaterals into categories based on their properties. • Explain that attributes belonging to a category of quadrilaterals also belong to all subcategories of that category. • Classify quadrilaterals in a hierarchy based on properties.

Multiple Choice

Mr. Parker is graphing a quadrilateral. He wants the quadrilateral to be a trapezoid. He has already graphed vertices at (1, 1), (3, 3), and (5, 3). Which choice is a point that could be the 4th vertex? 

• (1, 3) 

• (3, 5) 

• (5, 1) 

• (5, 5) 

Multiple Choice

Numerator

• Bottom Number in a fraction

• Whole

• Top Number in a Fraction

Multiple Choice

Denominator

• How many equal parts

• Part

• Top Number in a Fraction

Multiple Choice

Equivalent Fraction

• 1/2 and 1/3

• Fractions that name the same size or the same point on the number line

• Like, Kinda the same fraction

Multiple Choice

Unit Fraction

• Fraction with a numerator of 1

• Fraction with a denominator of 1

Multiple Choice

Fractional Unit

• Fractions with a numerator greater than denominator

• half, third, fourth, fifth

• Equivalent Fraction

Multiple Choice

Whole Unit

• Improper Fraction

• Whole Number and Fraction

• Any unit partitioned into smaller, equally sized fractional units

Multiple Choice

Mixed Number

• Numerator is smaller than denominator

• Number made up of a whole number and a fraction

• Numerator is bigger than denominator

Multiple Choice

Another term for improper fraction is:

• Fraction Greater than 1

• Mixed Number

• Benchmark Fraction

• Unit Fraction

Multiple Choice

Commutative Property

• Factors in a multiplication sentence can switch places

• Factors in an addition sentence can switch places

Multiple Choice

Distributive Prooperty

• Fractions that name the same size

• To share of something

• Break Apart Strategy to Find Related Multiplication Facts

Multiple Choice

Display of data on a horizontal line

• Number Line

• Line Plot

• Tape Diagram

Multiple Choice

Partition Into Equal Groups

• Divide

• Multiply

• Add

• Subtract

Multiple Choice

The symbols ( ) used to relate the order of operations

• Quotation Marks

• Commas

• Parenthesis

• Exponents

Multiple Choice

Numerical quantity that is not a whole number

• The socks I got for Christmas from my Tia

• Whole Number

• Fraction

Multiple Choice

Division Answer

• Quotient

• Divisor

• Dividend

Multiple Choice

Numbers that are multiplied. The size of the group or number of groups.

• Divisors

• Factors

• Fractions

• Mixed Numbers

Multiple Choice

4 ÷ $$\frac{1}{4}$$ =

• 8

• $$\frac{1}{8}$$  

• $$\frac{1}{16}$$  

• 16

Multiple Choice

What is 7 divided by $$\frac{1}{3}$$  ?

• $$\frac{1}{10}$$  

• 10
• $$\frac{1}{21}$$  

• 21

Multiple Choice

6 ÷ $$\frac{1}{5}$$  =

• 30
• $$\frac{1}{30}$$  

• 11
• $$\frac{1}{11}$$  

Multiple Choice

It takes $$\frac{1}{2}$$ of a cup of flour to make a batch of pancakes.  Ed has 6 cups of flour.  How many batches of pancakes can he make?

• 12 batches of pancakes
• He doesn't have enough flour to make a batch of pancakes
• $$\frac{1}{12}$$   batches of pancakes

Multiple Choice

Jason has 2 cups of muffin batter.  He uses $$\frac{1}{4}$$   of the batter for each muffin.  How many muffins can he make with the batter?

• $$\frac{1}{2}$$  

• 2
• 6
• 8

Multiple Choice

Carson needs $$\frac{1}{3}$$ of a banana for each ice cream sundae. How many sundaes can he make with 3 bananas?

• 3
• 6
• 9
• 12

Multiple Choice

Which situation can be represented by 6 ÷ $$\frac{1}{3}$$  ?

• Rita has a piece of ribbon that is $$\frac{1}{3}$$ foot long. She cuts it into 6 pieces having the same length. How many feet long is each piece of ribbon?

• Rita has 6 pieces of ribbon. Each piece is $$\frac{1}{3}$$ foot long. How many feet of ribbon does Rita have in all?

• Rita has a piece of ribbon that is 6 feet long. She cuts it into pieces that are $$\frac{1}{3}$$ foot long. How many pieces of ribbon does Rita have?

• Rita has a piece of ribbon that is 6 feet long. She cuts it into 3 pieces. How many feet long is each piece of ribbon?

Multiple Choice

6 ÷ $$\frac{1}{4}$$  =

• $$\frac{1}{24}$$  

• 10

• 24

• $$\frac{1}{10}$$  

Multiple Choice

Kevin divides 3 pieces of paper into fourths. How many fourths does he have?

What expression would match the story problem?

• $$\frac{1}{4}$$   ÷ 3

• 3 ÷ $$\frac{1}{4}$$  

Multiple Choice

Mrs. Amy has 5 cups of grape tomatoes, which she is serving as a snack to a group of children. Each serving is $$\frac{1}{4}$$   of a cup. How many children can get a serving of grape tomatoes as a snack? Find the correct equation.

• 5 ÷ $$\frac{1}{4}$$ = 20 children

• 5 ÷ $$\frac{1}{4}$$ = 25 children

• $$\frac{1}{4}$$ ÷ 5 = $$\frac{1}{20}$$   children

• $$\frac{1}{4}$$ ÷ 5 = $$\frac{1}{24}$$   children

Multiple Choice

Jenna has some chocolate that she wants to give to her friends. She wants to give $$\frac{1}{2}$$   of a pound of chocolate to each friend. Jenna has 7 pounds of chocolate, to how many friends can she give her chocolate? Find the correct equation.

• $$\frac{1}{2}$$   ÷ 8 = $$\frac{1}{16}$$   friends

• $$\frac{1}{2}$$ ÷ 7 = $$\frac{1}{14}$$ friends

• 8 ÷ $$\frac{1}{2}$$ = 16 friends

• 7 ÷ $$\frac{1}{2}$$ = 14 friends

Multiple Choice

Bethany has some coffee that she wants to give to her friends. She wants to give $$\frac{1}{3}$$   of a pound of coffee to each friend. If Bethany has 6 pounds of coffee to give to her friends, how many friends can she share her coffee with? Find the correct equation.

• $$\frac{1}{3}$$ ÷ 6 = $$\frac{1}{18}$$   friends

• 6 ÷ $$\frac{1}{3}$$ = 19 friends

• 6 ÷ $$\frac{1}{3}$$ = 18 friends

• $$\frac{1}{3}$$ ÷ 6 = $$\frac{1}{20}$$   friends

Multiple Choice

Tracy is putting out bowls of potpourri in each room of the hotel where she works. She wants to fill each bowl with $$\frac{1}{5}$$  of a can of potpourri. If Tracy has 10 cans of potpourri, in how many rooms can she place a bowl of potpourri? Find the correct equation.

• $$\frac{1}{5}$$ ÷ 10 = $$\frac{1}{25}$$   rooms

• $$\frac{1}{5}$$ ÷ 10 = $$\frac{1}{50}$$ rooms

• 10 ÷ $$\frac{1}{5}$$ = 50 rooms

• 10 ÷ $$\frac{1}{5}$$ = 45 rooms

Multiple Choice

Marie has a 2 pound bag of cat food. Her cat eats $$\frac{1}{8}$$   of a pound each day. How many days will the food last? Find the correct equation.

• 2 x $$\frac{1}{8}$$  = $$\frac{2}{8}$$   days

• $$\frac{1}{8}$$ ÷ 2 = 20 days

• $$\frac{1}{8}$$ ÷ 2 = $$\frac{1}{16}$$ day

• 2 ÷ $$\frac{1}{8}$$ = 16 days

Multiple Choice

What is 10 ÷ $$\frac{1}{4}$$  ?

• 10
• $$\frac{10}{4}$$  

• $$\frac{1}{40}$$  

• 40

Multiple Choice

What is 12 ÷ $$\frac{1}{5}$$   ?

• 48
• 72
• 60
• 84

Multiple Choice

How many groups of $$\frac{1}{8}$$  are there in 3 wholes?

• $$\frac{1}{24}$$  

• 16
• $$\frac{1}{16}$$  

• 24

Multiple Choice

24 ÷ $$\frac{1}{2}$$  =

• $$\frac{1}{12}$$  

• 48
• 22
• $$\frac{1}{22}$$  

Multiple Choice

6 ÷ ⅔ = _

• 4
• 9
• 12
• 24

Multiple Choice

4 ÷ ½ = _

• 4
• 2
• 16
• 8

Multiple Choice

4 ÷ $$\frac{1}{4}$$ =

• 8

• $$\frac{1}{8}$$  

• $$\frac{1}{16}$$  

• 16

Multiple Choice

What is 7 divided by $$\frac{1}{3}$$  ?

• $$\frac{1}{10}$$  

• 10
• $$\frac{1}{21}$$  

• 21

Multiple Choice

6 ÷ $$\frac{1}{5}$$  =

• 30
• $$\frac{1}{30}$$  

• 11
• $$\frac{1}{11}$$  

Multiple Choice

It takes $$\frac{1}{2}$$ of a cup of flour to make a batch of pancakes.  Ed has 6 cups of flour.  How many batches of pancakes can he make?

• 12 batches of pancakes
• He doesn't have enough flour to make a batch of pancakes
• $$\frac{1}{12}$$   batches of pancakes

Multiple Choice

Jason has 2 cups of muffin batter.  He uses $$\frac{1}{4}$$   of the batter for each muffin.  How many muffins can he make with the batter?

• $$\frac{1}{2}$$  

• 2
• 6
• 8

Multiple Choice

7 divided by 5/6

• 8 and 2/5
• 5 and 2/8
• 12
• 6/30

Multiple Choice

4 divided by 2/3

• 1/6
• 6
• 12
• 1/12

Multiple Choice

1/4 ÷ 5

• 1/20

• 20

• 5/20

• 1/4

Multiple Choice

Which equation has a quotient of 12? 

• 1/2  ÷  6
• 1/4  ÷  3
• 3  ÷  1/4
• 2  ÷  1/5

Multiple Choice

• 14

• 7/2

• 1/14

• 3 1/7

Multiple Choice

• 1/30

• 6/5

• 30

• 1 1/5

Multiple Choice

1/4 ÷ 5

• 1/20

• 20

• 5/20

• 1/4

Multiple Choice

1/2  ÷  2

• 1
• 1/4
• 1/3
• 4

Multiple Choice

1/6 ÷ 3 =

• 18
• 1/18
• 16
• 1/16 

Multiple Choice

1/2  ÷  2

• 1
• 1/4
• 1/3
• 4

Multiple Choice

1/9 divided by 3

• 1/27
• 23
• 27
• 1/23

Multiple Choice

1/8 divided by 6

• 48
• 14
• 1/14
• 1/48

Multiple Choice

Two friends share 1/2 of a pineapple equally. What fraction of a whole pineapple does each friend get?

• 4
• 1/4
• 8
• 1/8

Multiple Choice

 $\frac{1}{4}\div4\ =$  

• 8

• 1/8

• 1/16

• 16

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

 $\frac{1}{9}\ divided\ by\ 2$  

• 1/18

• 1/11

Multiple Choice

Karl has 20 stickers. He has 4 times more stickers than Mark. How many stickers does Mark have? Tick the CORRECT pictorial representation of this problem.

Multiple Choice

32 sweets are shared equally between 4 children. How many sweets does each child get? Tick the CORRECT pictorial representation of this problem.

Multiple Choice

Share 50 bones between 10 dogs. How many bones does each dog get?

• 10

• 5

• 50

• 60

Multiple Choice

Divide 18 children into 2 teams. How many children are in each team?

• 20

• 9

• 16

• 36

Multiple Choice

44 eggs are packed in packets of 4. How many packets of eggs are there? Tick the CORRECT pictorial representation of this problem.

Multiple Choice

28 people sit around 4 tables. How many people are around each table?

• 32

• 24

• 7

• 4

Multiple Choice

Grandma makes 20 apple pies. She shares them between 2 families. How many apple pies does each family get?

• 22

• 10

• 18

• 40

Multiple Choice

Maria makes 5 smoothies with 60 strawberries. How many strawberries are there in each smoothie?

• 65

• 55

• 12

• 30

Multiple Choice

Sophia shares 36 snails between 4 friends. How many snails does each one get?

• 40

• 32

• 4

• 9

Multiple Choice

Ben has 24 socks altogether. How many pairs of socks does Ben have?

• 12

• 2

• 24

• 48

Multiple Choice

15 scouts need to share 5 tents at their summer camp. How many scouts should stay in each tent?

• 10

• 3

• 5

• 20

Multiple Choice

12 books are shared equally between 4 children. How many books does each child get? Tick the CORRECT pictorial representation of this problem.