Math in Focus

This handy Math in Focus Grade 2 Workbook Answer Key Chapter 15 Practice 3 Multiplying 4: Skip-Counting detailed solutions for the textbook questions.

Math in Focus Grade 2 Chapter 15 Practice 3 Answer Key Multiplying 4: Skip-Counting

Match.

Answer:

Count by 4s. Then fill in the blanks.

Example

Question 4.
12, 16, 20, __________, __________, __________, __________
Answer:
12,16,20,24,28,32,36

Question 5.
16, __________, 24, 28, __________, __________, 40
Answer:
16,20,24,28,32,36,40

Fill in the blanks.

Question 6.
3 × 4 = __________
Answer:
3 x 4 = 12

Question 7.
6 × 4 = __________
Answer:
6 x 4 = 24

Question 8.
2 × 4 = __________
Answer:
2 x 4 = 8

Question 9.
8 × 4 = __________
Answer:
8 x 4 = 32

Question 10.
9 × 4 = __________
Answer:
9 x 4 = 36

Question 11.
4 × 4 = __________
Answer:
4 x 4 = 16

Question 12.
10 × 4 = __________
Answer:
10 x 4 = 40

Question 13.
7 × 4 = __________
Answer:
7 x 4 = 28

Solve.

Question 14.
There are 5 pencil cases. 4 erasers are in each pencil case. How many erasers are there in all?
5 × 4 = ___________
There are ___________ erasers in all.
Answer:
5 x 4 = 20
There are 20 erasers in all.

This handy Math in Focus Grade 2 Workbook Answer Key Chapter 15 Practice 2 Multiplying 3: Using Dot Paper detailed solutions for the textbook questions.

Math in Focus Grade 2 Chapter 15 Practice 2 Answer Key Multiplying 3: Using Dot Paper

Use dot paper to solve.

Example
Sally buys 4 lanterns. Each lantern costs $3. How much does Sally pay for the lanterns?

Question 1.
Nicole buys 6 soup bowls. Each soup bowl costs $3. How much does she pay for all the soup bowls?

___________ × $3 = $___________
She pays $__________ for all the soup bowls.
Answer:
6 x $3 = $18
She pays $18 for all the soup bowls.

Use dot paper to solve.

Question 2.
There are 7 tricycles. Each tricycle has 3 wheels. How many wheels are there in all?

___________ × ___________ = ___________
There are ___________ wheels in all.
Answer:
7 x 3 = 21
There are 21 wheels in all.

Question 3.
There are 8 groups of children in the class. There are 3 children in each group. How many children are there in the class?

___________ × ___________ = ___________
There are ___________ children in the class.
Answer:
8 x 3 = 24
There are 24 children in the class.

Use dot paper to help you fill in the blanks.

Example

Question 4.

5 × 3 = ____________
7 × 3 = 5 groups of 3 + __________ groups of 3
= __________ + ___________
= ___________
Answer:
5 × 3 = 15
7 × 3 = 5 groups of 3 + 2 groups of 3
= 15 + 6
= 21.

Use dot paper to help you fill in the blanks.

Question 5.

10 × 3 = ____________
9 × 3 = 10 groups of 3 – __________ groups of 3
= __________ – ___________
= ___________
Answer:
10 × 3 = 30
9 × 3 = 10 groups of 3 – 1 groups of 3
= 30 – 3
= 27.

Question 6.

10 × 3 = ____________
8 × 3 = 10 groups of 3 – __________ groups of 3
= __________ – ___________
= ___________
Answer:
10 × 3 = 30
8 × 3 = 10 groups of 3 – 2 groups of 3
= 30 – 6
= 24.

Use dot paper to help you fill in the blanks.

Example

Question 7.
___________ × 3 = 18
3 × __________ = 18
Answer:
6 x 3 =  18
3 x 6 = 18.

Question 8.
___________ × 3 = 21
3 × __________ = 21
Answer:
7 x 3 = 21
3 x 7 = 21

Question 9.
8 × 3 = __________
3 × 8 = __________
Answer:
8 x 3 = 24
3 x 8 = 24

Question 10.
___________ × 3 = 27
3 × __________ = 27
Answer:
9 x 3 = 27
3 x 9 = 27.

This handy Math in Focus Grade 2 Workbook Answer Key Chapter 15 Practice 1 Multiplying 3: Skip-Counting detailed solutions for the textbook questions.

Math in Focus Grade 2 Chapter 15 Practice 1 Answer Key Multiplying 3: Skip-Counting

Match the shapes that have the same value.

Answer:

Count by 3s. Then fill in the blanks.

Example

Question 5.
9, 12, 15, _________, _________, _________, _________
Answer: 9,12,15,18,21,24,27.

Question 6.
12, _________, 18, 21, _________, _________, 30
Answer: 12,15,18,21,24,27,30.

Fill in the blanks.

Question 7.
4 × 3 = _________
Answer: 4 x 3 = 12

Question 8.
2 × 3 = _________
Answer: 2 x 3 = 6

Question 9.
6 × 3 = _________
Answer: 6 x 3 = 18

Question 10.
8 × 3 = _________
Answer: 8 x 3 = 24

Question 11.
9 × 3 = _________
Answer: 9 x 3 = 27

Question 12.
7 × 3 = _________
Answer: 7 x 3 = 21

Question 13.
3 × 3 = _________
Answer: 3 x 3 = 9

Question 14.
10 × 3 = _________
Answer: 10 x 3 = 30

Solve.

Question 15.
Andrea has 5 flower vases. Each vase has 3 roses. How many roses are there in all?
5 × 3 = __________
There are __________ roses in all.
Answer: 5 x 3 = 15
There are 15 roses in all.

This handy Math in Focus Grade 2 Workbook Answer Key Chapter 16 Using Bar Models: Multiplication and Division detailed solutions for the textbook questions.

Math in Focus Grade 2 Chapter 16 Answer Key Using Bar Models: Multiplication and Division

Math Journal

Fill in the blanks, circles, and ovals.

To show 3 groups of 6 strawberries,
Step 1: I draw __________ strips of equal lengths in a row to represent 3 groups.
Step 2: I write the number ________ in the oval above one strip and a _________ in the oval below the strips.
Step 3: I write the number sentence.

Step 4: I _________ to find the answer.

Put On Your Thinking Cap!

Challenging Practice

Macy has some ropes, each 2 feet long. Nellie has some ropes, each 3 feet long. Oscar has some ropes, each 5 feet long. What is the length of each line of ropes when they are of the same length?
Answer:

Put On Your Thinking Cap!

Problem Solving

Sheena bakes 100 muffins. She shares them equally with 4- other girls. How many muffins does each girl get? How many more muffins are needed so that each one gets two more muffins?
Answer:

So, 100 ÷ 4 = 25
Therefore, each girl gets 26 muffins.

So, 4 x 2 = 8
Therefore, 8 muffins are needed so that each one gets two more muffins.

Chapter Review/Test

Concepts and Skills

Match each bar model to a word problem. Then solve the problem.

Answer:

Problem Solving

Write whether you need to multiply or divide. Then solve. Draw bar models to help you.

Question 4.
Jason has 5 apricots on each tray. He has a total of 50 apricots. How many trays are there?
There are ___________ trays.
Answer:

So, 50 ÷ 5 = 10
Therefore, there are 10 trays.

Question 5.
Claire paints 90 masks. She divides the masks equally and puts them in baskets. She puts 10 masks in each basket. How many baskets are there in all?
There are __________ baskets in all.
Answer:

So, 90 ÷ 10 = 9
Therefore, there are 9 baskets in all.

Write whether you need to multiply or divide. Then solve. Draw bar models to help you.

Question 6.
Sonny helps his mother pack old books in 6 boxes. Each box has a mass of 4- kilograms. What is the total mass of 6 boxes of books?
The total mass of 6 boxes of books is ___________ kilograms.
Answer:

So, 6 x 4 = 24
Therefore, the total mass of 6-boxes is 24 kilograms.

Question 7.
Sarah is making necklaces for her friends. She needs 12 feet of string for the necklaces. Each necklace needs a string 2 feet long. How many necklaces is Sarah making?
Sarah is making ___________ necklaces.
Answer:

So, 12 ÷ 2 = 6
Therefore, Sarah is making 6 necklaces.

Tell whether you need to multiply or divide. Then solve. Draw bar models to help you.

Question 8.
Billy’s cats drink 4- liters of milk in a week. How much milk do the cats drink in 4 weeks?
The cats drink ___________ liters of milk.
Answer:

So, 4 x 4 = 16
Therefore, The cats drink 16 liters of milk.

Question 9.
Mr. Andres has 4 grandsons. He gives each of them $5. How much does he give his grandsons in all?
He gives $___________ to his grandsons.
Answer:

So, 4 x 5 = 20
Therefore, He gives $20 to his grandsons.

This handy Math in Focus Grade 2 Workbook Answer Key Chapter 16 Practice 3 Real-World Problems: Measurement and Money detailed solutions for the textbook questions.

Math in Focus Grade 2 Chapter 16 Practice 3 Answer Key Real-World Problems: Measurement and Money

Tell whether you need to multiply or divide. Then solve. Use bar models to help you.

Example

Question 1.
Raul cuts 6 strips of paper. Each strip is 5 centimeters long. He tapes them together to make a long strip. How long is the strip he makes?

5 × 6 = ___________
The strip is ____________ centimeters long.
Answer:
5 x 6 = 30
The strip is 30 centimeters long.

Tell whether you need to multiply or divide. Then solve. Use bar models to help you.

Question 2.
Helen has a ribbon that is 21 inches long. She cuts it into 3 equal pieces. How long is each piece?

21 ÷ 3 = ____________
Each piece is __________ inches long.
Answer:

21 ÷ 3 = 7
Each piece is 7 inches long.

Question 3.
Jessica has a string that is 30 feet long. She cuts it into equal pieces. Each piece is 5 feet long. How many pieces does she cut the string into?

She cuts the string into __________ pieces.
Answer:

30 ÷ 5 = 6
She cuts the string into 6 pieces.

Tell whether you need to multiply or divide. Then solve. Draw bar models to help you.

Question 4.
A strip of paper is 40 centimeters long. It is cut into 4 equal pieces. How long is each piece?
Each piece is __________ centimeters long.
Answer:

40 ÷ 4 = 10
Each piece is 10 centimeters long.

Question 5.
Sara is making curtains. She needs 5 meters of cloth for each curtain. She has 45 meters of cloth. How many curtains can she make?

She can make __________ curtains.
Answer:

45 ÷ 5 = 9
Therefore, she can make 9 curtains.

Tell whether you need to multiply or divide. Then solve. Draw bar models to help you.

Question 6.
The mass of 5 bags of potatoes is 30 kilograms. Each bag has the same mass. What is the mass of each bag?

The mass of each bag is __________ kilograms.
Answer:

30 ÷ 5 = 6
Therefore, the mass of each bag is 6 kilograms.

Question 7.
There are 6 bricks. Each brick has a mass of 3 kilograms. What is the total mass of the 6 bricks?

The total mass of the 6 bricks is __________ kilograms.
Answer:

6 x 3 = 18
Therefore, the total mass of 6 bricks is 18 kilograms.

Tell whether you need to multiply or divide. Then solve. Draw bar models to help you.

Question 8.
A pencil sharpener has a mass of 10 grams. What is the total mass of 7 pencil sharpeners?
The total mass of 7 pencil sharpeners is __________ grams.
Answer:

So, 10 x 7 = 70
Therefore, The total mass of 7 pencil sharpeners is 10 grams.

Question 9.
The total mass of 3 bags of flour is 6 kilograms. Each bag has the same mass. What is the mass of each bag of flour?
The mass of each bag of flour is __________ kilograms.
Answer:

So, 6 ÷ 3 = 2
Therefore, The mass of each bag of flour is 2 kilograms.

Tell whether you need to multiply or divide. Then solve. Draw bar models to help you.

Question 10.
32 kilograms of rice is divided equally into some bags. Each bag has a mass of 8 kilograms. How many bags of rice are there?
There are __________ bags of rice.
Answer:

S0, 32 ÷ 8 = 4
Therefore, there are 4 bags of rice.

Question 11.
Mrs. Evan’s family drinks 5 liters of milk in a week. How many liters of milk does her family drink in 7 weeks?
Her family drinks __________ liters of milk in 7 weeks.
Answer:

So, 5 x 7 =35
Therefore, 35 liters of milk her family drinks in 7 weeks.

Tell whether you need to multiply or divide. Then solve. Draw bar models to help you.

Question 12.
Alberto pours 18 liters of water equally into 3 tanks. How much water is there in each tank?
There are __________ liters of water in each tank.
Answer:

So, 18 ÷ 3 = 6
Therefore, 6 liters of water there in each tank.

Question 13.
Barry collects 16 liters of water from a well. He pours the water into some pails. Each pail contains 4- liters of water. How many pails are there in all?
There are __________ pails in all.
Answer:

So, 16 ÷ 4 = 4
Therefore, there are 4 pails in all.

Tell whether you need to multiply or divide. Then solve. Draw bar models to help you.

Question 14.
Mariam gives $40 to her grandchildren. Each of them gets $5. How many grandchildren does she have?
She has __________ grandchildren.
Answer:

So, 40 ÷ 5 = 8
Therefore, there are 8 grandchildren.

Question 15.
Mrs. Tan buys 4 bottles of sauce. Each bottle costs $4. How much does she pay?
She pays $ __________.
Answer:

So, 4 x 4 = 16
Therefore, she paid $16.

Question 16.
Linda has $50. She spends all of it on some bags. Each bag costs $10. How many bags are there in all?
There are __________ bags in all.
Answer:

So, $50 ÷ $10 = 5
Therefore, there are 5 bags in all.

This handy Math in Focus Grade 2 Workbook Answer Key Chapter 16 Practice 2 Real-World Problems: Division detailed solutions for the textbook questions.

Math in Focus Grade 2 Chapter 16 Practice 2 Answer Key Real-World Problems: Division

Circle the correct bar model.

Example

Divide 15 children into 5 groups. How many children are in each group?

Answer:

Therefore, there are 3 children in each group.

Question 1.
Place 20 strawberries equally on 4- plates. How many strawberries are on each plate?

Answer:

Therefore, there are 5 strawberries on each plate.

Question 2.
There are 21 buttons to sew on some shirts. Each shirt needs 3 buttons. How many shirts are there?

Answer:

Therefore, there are 7 shirts.

Solve. Use the bar model to help you.

Example
A baker has 12 rolls. He divides the rolls equally among 4 children. How many rolls does each child get?

Question 3.
Zach has 36 plants and 4 pots. He puts an equal number of plants in each pot. How many plants are in each pot?

__________ ÷ _________ = ____________
There are _________ plants in each pot.
Answer:
36 ÷ 4 = 9
There are 9 plants in each pot.

Solve. Use the bar model to help you.

Example
Ben has 35 leather strips. He uses 5 strips for each necklace he makes. How many necklaces does he make?

Question 4.
Lily sews 24 dresses for her dolls. Each doll gets 3 dresses. How many dolls does Lily have?

__________ ÷ _________ = ____________
Lily has _________ dolls.
Answer:
24 ÷ 3 = 8
Lily has 8 dolls.

Solve. Use the bar model to help you.

Question 5.
Gina has 40 stamps. She pastes them equally on 4- pages in her album. How many stamps are on each page?
There are __________ stamps on each page.
Answer:

40 ÷  4 = 10
There are 10 stamps on each page.

Question 6.
Ryan has read 28 pages of a book. He reads 4 pages each day. How many days has Ryan been reading the book?
Ryan has been reading for __________ days.
Answer:

28 ÷ 4 = 7
Ryan has been reading for 7 days.

This handy Math in Focus Grade 2 Workbook Answer Key Chapter 16 Practice 1 Real-World Problems: Multiplication detailed solutions for the textbook questions.

Math in Focus Grade 2 Chapter 16 Practice 1 Answer Key Real-World Problems: Multiplication

Solve. Use bar models to help you.

Example
Aaron has 3 baskets of oranges. There are 5 oranges in each basket. How many oranges does Aaron have?

Question 1.
Susan has 4 bunches of roses. There are 8 roses in each bunch. How many roses does Susan have?

___________ × 8 = ___________
Susan has __________ roses.
Answer:

4 × 8 = 32
Susan has 32 roses.

Solve. Draw bar models to help you.

Question 2.
Willie reads 10 pages of his book each day. How many pages does he read in 3 days?

___________ × ___________ = ___________
Willie reads ___________ pages in 3 days.
Answer:

3 × 10 = 30
Willie reads 30 pages in 3 days.

Question 3.
There are 7 boxes. There are 5 baseballs ¡n each box. How many baseballs are there in all?

___________ × ___________ = ___________
There are _________ baseballs in all.
Answer:

7 × 5 = 35
There are 35 baseballs in all.

Solve. Draw bar models to help you.

Question 4.
There are 3 tricycles in a shop. Each tricycle has 3 wheels. How many wheels do the tricycles have in all?
The tricycles have ___________ wheels in all.
Answer:

Given,
There are 3 tricycles in a shop.
Each tricycle has 3 wheels.
So, 3 x 3 = 9
Therefore, there are 9 wheels for tricycles.

Question 5.
Carlos buys 5 boxes of markers. There are 10 markers in each box. How many markers does Carlos buy?
Carlos buys ___________ markers.
Answer:

Given,
Carlos buys 5 boxes of markers.
There are 10 markers in each box.
So, 5 x 10 = 50
Therefore, Carlos can buy 50 markers.

Solve. Draw bar models to help you.

Question 6.
There are 9 boxes of rocks. There are 3 rocks in each box. How many rocks are there in all?
There are ___________ rocks in all.
Answer:

Given,
There are 9 boxes of rocks.
There are 3 rocks in each box.
So, 9 x 3 = 27
Therefore, there are 27 rocks in all.

Question 7.
Samuel makes 6 shapes using craft sticks. He uses 5 craft sticks for each shape. How many craft sticks does Samuel use in all?
Samuel uses ___________ craft sticks in all.
Answer:

Given,
Samuel makes 6 shapes using craft sticks.
He uses 5 craft sticks for each shape.
So, 6 x 5 = 30
Therefore, Samuel uses 30 craft sticks in all.

Solve. Draw bar models to help you.

Question 8.
Farah has 8 vases. She puts 5 flowers in each vase. How many flowers does Farah have in all?
Farah has ___________ flowers in all.
Answer:

Given,
Farah has 8 vases.
She puts 5 flowers in each vase.
So, 8 x 5 = 40
Farah has 40 flowers in all.

Question 9.
Benny has 7 fish tanks. There are 4 goldfish in each tank. How many goldfish does Benny have?
Benny has ___________ goldfish.
Answer:

Given,
Benny has 7 fish tanks.
There are 4 goldfish in each tank.
So, 7 x 4 = 28
Benny has 28 goldfish.

This handy Math in Focus Grade 2 Workbook Answer Key Cumulative Review for Chapters 15 to 17 detailed solutions for the textbook questions.

 Math in Focus Grade 2 Cumulative Review for Chapters 15 to 17 Answer Key

Concepts and Skills

Skip-count.

Question 1.
3, 6, 9, ________, ________, ________, ________, ________, ________, ________
Answer:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

Explanation:
I wrote the next seven numbers
I skip counted by 3 and wrote the numbers.
The numbers have difference of 3 between each consecutive pair.

Question 2.
4, 8, 12, ________, ________, ________, ________, ________, ________, ________
Answer:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40.

Explanation:
I wrote the next seven numbers
I skip counted by 4 and wrote the numbers.
The numbers have difference of 4 between each consecutive pair.

Fill in the blanks.

Question 3.
4 groups of 3 = ________ × _______ = _______
Answer:
4 x 3 = 12

Explanation:
The product of 4 and 3 is 12
So, 4 x 3 that is 4 groups of 3 is 12.

Question 4.
8 groups of 3 = ________ × _______ = _______
Answer:
8 x 3 = 24

Explanation:
The product of 8 and 3 is 24
So, 8 x 3 that is 8 groups of 3 is 24.

Question 5.
3 groups of 4 = ________ × _______ = _______
Answer:
3 x 4 = 12

Explanation:
The product of 3 and 4 is 12
So, 3 x 4 that is 3 groups of 4 is 12.

Question 6.
9 groups of 4 = ________ × _______ = _______
Answer:
9 x 4 = 36

Explanation:
The product of 9 and 4 is 36
So, 9 x 4 that is 9 groups of 4 is 36.

Use dot paper to find the missing numbers.

Question 7.

Answer:

Explanation:
I wrote the missing numbers in the equations using dot papers
There are 6 rows and 3 columns that is 6 groups of 3 dots
So, 6 x 3 = 18
In the second dot paper
There are 3 rows and 6 columns that is 3 groups of 6 dots
3 x 6 = 18.

Question 8.

Answer:

Explanation:
I wrote the missing numbers in the equations using dot papers
There are 5 rows and 4 columns that is 5 groups of 4 dots
So, 5 x 4 = 20
In the second dot paper
There are 4 rows and 5 columns that is 4 groups of 5 dots
4 x 5 = 20.

Complete the multiplication sentences. Use dot paper to help you.

Question 9.
9 × 3 = __________
3 × 9 = __________
Answer:

Explanation:
I completed the multiplication sentences using dot papers
So, 9 x 3 = 27 and 3 x 9 = 27.

Question 10.
7 × 3 = __________
3 × 7 = __________
Answer:

Explanation:
I completed the multiplication sentences using dot papers
So, 7 x 3 = 21 and 3 x 7 = 21.

Question 11.
10 × 4 = _________
4 × 10 = _________
Answer:

Explanation:
I completed the multiplication sentences using dot papers
So, 10 x 4 = 40 and 4 x 10 = 40.

Question 12.
6 × 4 = __________
4 × 6 = __________
Answer:

Explanation:
I completed the multiplication sentences using dot papers
So, 6 x 4 = 24 and 4 x 6 = 24.

Fill in the blanks.

Question 13.
10 × 4 = __________
7 × 4 = 10 groups of 4 – 3 groups of 4
= _________ – 12
= _________
Answer:
10 x 4 = 40
7 x 4 = 28

Explanation:
10 × 4 = __________
7 × 4 = 10 groups of 4 – 3 groups of 4
= 40 – 12
= 28
So, 7 x 4 = 28.

Question 14.
5 × 3 = __________ 7 × 3 = 5 groups of 3 + 2 groups of 3
= ________ + 6
= _________
Answer:
5 x 3 = 15
7 x 3 = 21

Explanation:
7 × 3
= 5 groups of 3 + 2 groups of 3
= 15  + 6
= 21
So, 7 x 3 = 21.

Complete the multiplication and division sentences.

Question 15.
________ × 3 = 15
15 ÷ 3 = __________
Answer:
5 x 3 = 15
15 ÷ 3 = 5

Explanation:
5 groups of 3 is 15
If 15 is divided into 3 groups then each group will have 5
So, 15 ÷ 3 = 5.

Question 16.
________ × 4 = 20
20 ÷ 4 = __________
Answer:
5 x 4 = 20
20 ÷ 4 = 5

Explanation:
5 groups of 4 is 20
If 20 is divided into 4 groups then each group will have 5
So, 20 ÷ 4 = 5.

Fill in the blanks. Use the picture graphs to help you.

A large bottle contains different kinds of nuts. The graph shows the number of each kind of nut in the Jar.

Question 17.
There are __________ peanuts in the jar.
Answer:
20 peanuts

Explanation:
There are 10 for peanuts
Each    stands for 2 nuts
10 x 2 = 20
So, there are 20 peanuts in the jar.

Question 18.
The number of __________ and _________ in the jar is the same.
Answer:
Cashew and Pecan

Explanation:
Each stands for 2 nuts
There are 4 for cashew and 4 for pecans
4 x 2 = 8
So, The number of Cashew and Pecans in the jar is the same that is 8.

Question 19.
There are __________ fewer walnuts than almonds.
Answer:
6 fewer walnuts

Explanation:
Each stands for 2 nuts
There are 6 for Almonds
There are 3 for Walnuts
6 x 2 = 12
3 x 2 = 6
12 – 6 = 6
So, there are 6 fewer walnuts than almonds in the jar.

Question 20
There are __________ more peanuts than cashews.
Answer:
12 more peanuts

Explanation:
Each stands for 2 nuts
There are 4 for cashew and 10 for peanuts
4 x 2 = 8
10 x 2 = 20
20 – 8 = 12
So, there are 12 more peanuts than cashews in the jar.

Question 21.
There are ____________ almonds and pecans in all.
Answer:
20 almonds and pecans

Explanation:
Each stands for 2 nuts
There are 6 for almonds and 4 for pecans
6 x 2 = 12
4 x 2 = 8
12 + 8 = 20
So, there are 20 almonds and pecans in all in the jar.

Count the vegetables in a bin. Then complete the tally chart.

Answer:

Explanation:
I counted the number of each kind of vegetables and drew tally marks for the numbers.

Question 22.
Use the picture and the tally chart to make a bar graph.

Answer:

Explanation:
I used the tally marks to fill the bar graph
I counted and filled the number of each kind of vegetable in the graph.

Complete. Use your bar graph to help you.

Question 23.
How many carrots are there?
Answer:
10

Explanation:
There are 10 carrots.

Question 24.
How many tomatoes are there?
Answer:
16

Explanation:
There are 16 tomatoes.

Question 25.
How many cabbages are there?
Answer:
6

Explanation:
There are 6 cabbages.

Problem Solving

Solve. Draw bar models to help you.

Question 26.
Alicia has 3 bags. She puts 10 beads in each bag. How many beads does she have?
There are _________ beads in all.
Answer:

Explanation:
Alicia has 3 bags
She puts 10 beads in each bag
10 x 3 = 30 or
10 + 10 + 10 = 30
There are 30 beads in all.

Solve. Draw bar models to help you.

Question 27.
Peter has 18 crayons. He divides them into 3 equal groups. How many crayons are in each group?
There are ___________ crayons in each group.
Answer:

Explanation:
Peter has 18 crayons
He divides them into 3 equal groups
18 ÷ 3 = 6
So, there are 6 crayons in each group.

Question 28.
Yasmin buys 30 stickers. She distributes the stickers equally among her 5 friends. How many stickers does each of her friends get?
Each friend gets _____________stickers.
Answer:

Explanation:
Yasmin buys 30 stickers
She distributes the stickers equally among her 5 friends
6 + 6 + 6 + 6 + 6 = 30
Each friend gets 6 stickers.

Question 29.
A day camp has 12 soccer balls. Each team uses 3 balls. How many teams are there?
There are __________ teams.
Answer:

Explanation:
A day camp has 12 soccer balls
Each team uses 3 balls
12 ÷ 3 = 4
There are 4 teams.

Question 30.
5 bags of food for a food drive have a mass of 25 kilograms. Each bag has the same mass. What is the mass of each bag?
The mass of each bag is ___________ kilograms.
Answer:

Explanation:
5 bags of food for a food drive have a mass of 25 kilograms
25 ÷ 5 = 5
The mass of each bag is 5 kilograms.

Question 31.
The total length of a piece of lace is 28 feet. It is cut into equal pieces 4 feet long. How many pieces are there?
There are __________ pieces.
Answer:

Explanation:
The total length of a piece of lace is 28 feet
It is cut into equal pieces 4 feet long
24 ÷ 4 = 7 or
4 + 4 + 4 + 4 + 4 + 4 + 4 = 28 7 groups
There are 7 pieces.

Question 32.
Andrew uses 6 liters of water to water his plants every day. How many liters of water does he use in 4 days?
He uses ________ liters of water.
Answer:

Explanation:
Andrew uses 6 liters of water to water his plants every day
water for  4 days is 6 x 4 = 24 or
6 + 6+ 6 + 6 = 24
He uses 24 liters of water.

Complete the picture graph using Exercises 33 and 34. Then use the graph to solve Exercises 35 and 36.

A group of people attended a workshop. They were divided into 5 groups. The number of people in each group is shown in the graph.

Question 33.
There were 15 people in Group 2. What does each stand for?
Answer:
Each stand for 5 people.

Question 34.
Draw to show 20 people in Group 5.
Answer:

Explanation:
Each stands for 5 people
I need to represent 20 people in Group 5
So, i drew 4
4 x 5  20.

Question 35.
7 people in Group 3 were women. How many were men?
Answer:
23 were men

Explanation:
There are 6 in group 3
Each stands for 5 people
6 x 5 = 30
7 people in Group 3 were women
30 – 7 = 23
So, 23 people in group 3 were men.

Question 36.
There were 50 men in Group 1 and Group 4. How many women were there in Group 1 and Group 4?
Answer:
10 women

Explanation:
Each stands for 5 people
There are 7 in Group 1
There are 5 in Group 4
7 x 5 = 35
5 x 5 = 25
35 + 25 = 60
There were 50 men in Group 1 and Group 4
Subtract 50 from 60
60 – 50 = 10
So, 10 women were there in Group 1 and Group 4.

This handy Math in Focus Grade 2 Workbook Answer Key Chapter 17 Graphs and Line Plots detailed solutions for the textbook questions.

Math in Focus Grade 2 Chapter 17 Answer Key Graphs and Line Plots

Put On Your Thinking Cap!

Challenging Practice

Tricia read a story book. She recorded the number of pages she read every day for 3 days. She drew a for every 2 pages she read.

The number of pages Tricia read follows a pattern. If this pattern continues, how many pages will Tricia read on the 4th day?
Tricia will read ____________ pages on the 4th day.
Answer:

Explanation:
Tricia read a story book
She recorded the number of pages she read every day for 3 days
She drew a for every 2 pages she read
The number of pages Tricia read follows a pattern
If this pattern continues Tricia will read 8 + 2 = 10 pages on the 4th day
I drew 5 to represent 10 pages as each stands for 2 pages.

Put On Your Thinking Cap!

Problem Solving

The graph shows the number of points 5 children scored on a science test. The total score for the test is 40. Complete the graph using the information given.

Ariel scored all the points she could. Tyrone scored 8 points less than Ariel. Nicole and Vera had the same number of points.
Points Scored on a Science Test

Answer:

Explanation:
I completed the picture graphs using the given information
The graph shows the number of points 5 children scored on a science test. The total score for the test is 40
Ariel scored all the points she could
Ariel scored 40 points
Each stands for 4 points
40 ÷ 4 = 10
So, i drew 10for Ariel
Tyrone scored 8 points less than Ariel
That is 2 less than Ariel
So, Tyrone has 8
Nicole and Vera had the same number of points
Vera have 9that is 36 points
So, Nicole will also have 9 that is 36 points.

Chapter Review/Test

Vocabulary

Fill in the blanks with words from the box.

key
picture graph
tally chart

Question 1.
The ___________ shows what a picture or symbol stands for.
Answer:

The key shows what a picture or symbol stands for.

Question 2.
A ___________ shows data using pictures or symbols.
Answer:
A picture graph shows data using pictures or symbols.

Question 3.
You record the number of things in a _____________.
Answer:
You record the number of things in a tally chart.

Concepts and Skills

Question 4.
Tammy went to a bird park. Help her make a tally chart of the birds she saw on page 202.

Tally Chart

Answer:

Explanation:
Tammy went to a bird park
I counted the number of birds of each type and drew tally marks for the numbers.

Question 5.
Then complete the picture graph of the data in exercise 4. Give it a title.
Title: ______________

Answer:

Explanation:
I drew a picture graph using the key
I used the key, each picture key stands for 3 birds
So, i drew the pictures to represent the number of birds of each type
There are 15 Jays, 24 Swallows, 12 Robins, 12 Flamingos and 9 peacocks.

The graph shows how much money each child has saved in a month.
Money Saved in One Month

Use the graph to find the missing numbers.

Question 6.
How much has Keith saved?
There are _________ for Keith.
________ × $ _________ = $___________
Keith has saved $___________
Answer:
$8

Explanation:
There are 4 for Keith.
4 × $ 2 = $ 8
Keith has saved $ 8.

Question 7.
How much have Michelle and Alberto saved in all?
There are 7  for Michelle.

__________ × $___________ = $_________
There are 6 for Alberto.
_________ × $_________ = $__________
$________ + $_________ = $___________
Michelle and Alberto saved $_________ in all.
Answer:
$ 26

Explanation:
There are 7  for Michelle

7 × $ 2 = $ 14
There are 6 for Alberto.
6 × $ 2 = $ 12
$ 14 + $ 12 = $ 26
Michelle and Alberto saved $ 26 in all

Question 8.
How much more has Michelle saved than Gloria?
There are 7 for Michelle.
__________ × $___________ = $_________
There are 5 for Gloria.
_________ × $_________ = $__________
$________ – $_________ = $___________
Michelle has saved $_________ more than Gloria.
Answer:
$ 4

Explanation:
There are 7 for Michelle.
7 × $ 2 = $ 14
There are 5 for Gloria.
5 × $ 2 = $ 10
$ 14 – $ 10 = $ 4
Michelle has saved $ 4 more than Gloria.

Question 9.
Grace has 2 .
How much less has she saved than Gloria?
_________ × $_________ = $__________
$________ – $_________ = $___________
Grace has saved $___________ less than Gloria.
Answer:
$ 6

Explanation:
Grace has 2
2 x $ 2 = $ 4
Gloria has 5
5 × $ 2 = $ 10
$ 10 – $ 4 = $ 6
Grace has saved $ 6 less than Gloria.

The chart shows the number of beads that each child used to make a bracelet.

Use the data to complete the bar graph below. Give your graph a title.

Answer:

Make a line plot using the data on the bar graph on page 205. Then answer the questions.

Question 10.
How many children used 6 beads?
Answer:
1 child

Explanation:
Angel made bracelet with 6 beads.

Question 11.
How many children used fewer than 7 beads?
Answer:
3 children

Explanation:
Abby, Zoe and Shelly made bracelets with 7 beads.

Question 12.
How many children made bracelets?
Answer:
8

Explanation:
8 children made bracelets with beads.

Question 13.
How many children used more than 7 beads?
Answer:
2 children

Explanation:
Andrea used 9 beads
Bob used 8 beads
Andrea and Bob used more than 7 beads to make bracelets.

Question 14.
How many beads did the children use in all?
Answer:
53

Explanation:
Andrea used 9 beads, Abby used 7 beads,
Zoe used 7, Lorie used 5,
Bob used 8, Mike used 4,
Shelly used 7 and Angel used 6
The children used 53 beads in all to make bracelets.

This handy Math in Focus Grade 2 Workbook Answer Key Chapter 17 Practice 4 Bar Graphs and Line Plots detailed solutions for the textbook questions.

Math in Focus Grade 2 Chapter 17 Practice 4 Answer Key Bar Graphs and Line Plots

Ms. Rafael’s students took a Science quiz. Each student answered 10 questions. Each correct answer earned 1 point. The tally chart below shows the scores.

Complete.

Question 1.
Complete the tally chart.

Answer:

Explanation:
I counted and wrote the number of tally marks
Number of tally marks is number of students.

Question 2.
Complete the bar graph to show the data. Label your graph.

Answer:

Explanation:
I drew a bar graph to represent the number of students and their scores.

Question 3.
Use the data in the bar graph to create a line plot.

Answer:

Explanation:
I created a line plot to represent the score of the students.

Use the bar graph or line plot to answer the questions.

Question 4.
How many students scored 6 points?
___________ students
Answer:
5 students scored 6 points.

Question 5.
How many students scored more than 5 points?
___________ students
Answer:
3 students scored 5 points.

Question 6.
How many students took the Science quiz?
___________ students
Answer:
25 students took the science quiz.

Question 7.
Ms. Rafael awarded a sticker to each student who scored more than 7 points.
How many stickers did she give out? ___________ stickers
Answer:
6 stickers

Explanation:
Number of students who scored more than 7 points are awarded a sticker
2 students scored 8 points
1 student scored 9 points
3 students scored 10 points
2 + 1 + 3 = 6
So, 6 students are awarded stickers
Therefore, Ms. Rafael gave out 6 stickers.