Hillary

This handy Math in Focus Grade 3 Workbook Answer Key Chapter 18 Practice 3 Symmetry provides detailed solutions for the textbook questions.

Math in Focus Grade 3 Chapter 18 Practice 3 Answer Key Symmetry

Circle the symmetric figures.

Question 1.


Answer:

Explanation:
The line of symmetry is the axis or imaginary line that passes through the center of the shape or object,
and divides it into identical halves.
The above all figures show symmetry expect the letter N and umbrella.

Decide which of the dotted lines are lines of symmetry.

Question 2.

Answer:
All the figures of dotted lines are lines of symmetry.
Explanation:
The line of symmetry is the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.

Decide whether the line is a line of symmetry. Write yes or no.

Question 3.

Answer: No
Explanation:
The line of symmetry is the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.
the above figure doesn’t show line of symmetry.

Question 4.

Answer: Yes
Explanation:
The line of symmetry is the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.
The above figure shows line of symmetry.

Question 5.

Answer: Yes
Explanation:
The line of symmetry is the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.
The above figure shows line of symmetry.

Question 6.

Answer: Yes
Explanation:
The line of symmetry is the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.
The above figure shows line of symmetry.

Question 7.

Answer: No
Explanation:
The line of symmetry is the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.
The above figure doesn’t shows line of symmetry.

Question 8.

Answer: Yes
Explanation:
The line of symmetry is the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.
The above figure shows line of symmetry.

Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 3 Practice 7 Real-World Problems: Fractions and Mixed Numbers to finish your assignments.

Math in Focus Grade 5 Chapter 3 Practice 7 Answer Key Real-World Problems: Fractions and Mixed Numbers

Solve. Show your work.

Question 1.
Elena has 1 2 pieces of banana bread. She gives an equal amount of banana bread to 5 friends. How many pieces of banana bread does she give each friend?
Answer:
2\(\frac{2}{5}\) pieces of banana bread that she give each friend
Explanation:
Elena has 1 2 pieces of banana bread.
She gives an equal amount of banana bread to 5 friends.
12 is shared between 5 friends
12 ÷ 5
\(\frac{12}{5}\) =
\(\frac{10}{5}\) + \(\frac{2}{5}\)
= 2 + \(\frac{2}{5}\)
2\(\frac{2}{5}\) pieces of banana bread that she give each friend

Question 2.
A utility bill shows that a household used 2,001 gallons of water in a 5-day period. What was the average amount of water used by the household each day?
Answer:
400 gallons
Explanation:
A utility bill shows that a household used 2,001 gallons of water in a 5-day period.
2000 ÷  5 = 400
400 gallons was the average amount of water used by the household each day

Question 3.
A ball of string is 50 yards long. A shipper uses 5 yards of string to tie packages. The remaining string is then cut into 7 equal pieces. What is the length of each of the 7 pieces of string?
Answer:
50 – 5 = 45
45 ÷  7 = 6.4
the length of each of the 7 pieces of string = 6.4
Explanation:
A ball of string is 50 yards long.
A shipper uses 5 yards of string to tie packages.
50 – 5 = 45
The remaining string is then cut into 7 equal pieces.
7 x 6 = 42
42 is the length of each of the 7 pieces of string

Question 4.
Steve picks 55 pounds of pears. He packs an equal amount of pears into 6 bags. He then has 4 pounds of pears left. What is the weight of pears in each bag?
Answer:
10.1  is the weight of pears in each bag
Explanation:
Steve picks 55 pounds of pears.
He packs an equal amount of pears into 6 bags.
55 ÷  6 = 6.1
9 x 6 = 54
He then has 4 pounds of pears left.
6.1 + 4 = 10.1
10.1  is the weight of pears in each bag

Question 5.
Jeremy puts an empty container under a leaking faucet. In the first hour, \(\frac{3}{8}\) quart of water collects. In the second hour, \(\frac{1}{6}\) quart of water collects. How much water collects in the container in the two hours?
Answer:
\(\frac{13}{24}\) water collects in the container in the two hours
Explanation:
Jeremy puts an empty container under a leaking faucet.
In the first hour, \(\frac{3}{8}\) quart of water collects.
In the second hour, \(\frac{1}{6}\) quart of water collects.
\(\frac{3}{8}\) + \(\frac{1}{6}\)

\(\frac{13}{24}\) water collects in the container in the two hours

Solve. Show your work.

Question 6.
Arnold buys \(\frac{8}{9}\) pound of ground turkey. He uses \(\frac{3}{4}\) pound or the ground turkey to make meatballs. How many pounds of ground turkey are left?
Answer:
\(\frac{5}{36}\)
Explanation:
Arnold buys \(\frac{8}{9}\) pound of ground turkey.
He uses \(\frac{3}{4}\) pound or the ground turkey to make meatballs.
\(\frac{8}{9}\) – \(\frac{3}{4}\) = \(\frac{5}{36}\)

\(\frac{5}{36}\) pounds of ground turkey are left

Question 7.
A snail is at the bottom of a well. In the first 1 0 minutes, the snail climbs 23\(\frac{7}{23}\) inches. in the next 10 minutes, it climbs 19\(\frac{5}{6}\) inches. How far is the snail from the bottom of the well after 20 minutes?
Answer:
43\(\frac{19}{138}\)
Explanation:
A snail is at the bottom of a well. In the first 1 0 minutes, the snail climbs 23\(\frac{7}{23}\) inches.
in the next 10 minutes, it climbs 19\(\frac{5}{6}\) inches.
23\(\frac{7}{23}\) + 19\(\frac{5}{6}\) = 43\(\frac{19}{138}\)

43\(\frac{19}{138}\) far is the snail from the bottom of the well after 20 minutes

Solve. Show your work

Question 8.
Johnny is jogging along a track. He has already jogged 1\(\frac{2}{3}\) miles. He plans to jog a total of 3\(\frac{1}{4}\) miles. How many miles does he have left to jog?
Answer:
4\(\frac{11}{12}\)
Explanation:
Johnny is jogging along a track.
He has already jogged 1\(\frac{2}{3}\) miles.
He plans to jog a total of 3\(\frac{1}{4}\) miles.

4\(\frac{11}{12}\) miles that he have left to jog

Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 3 Practice 8 Real-World Problems: Fractions and Mixed Numbers to finish your assignments.

Math in Focus Grade 5 Chapter 3 Practice 8 Answer Key Real-World Problems: Fractions and Mixed Numbers

Solve. Show your work.

Question 1.
Susanne and Barry each buy 4 equal-sized bagels. They divide the bagels equally among themselves and 3 other friends. How many bagels does each person get?
Answer:
1\(\frac{3}{5}\)
Explanation:
Susanne and Barry each buy 4 equal-sized bagels.
4 x 2 = 8
so total = 8
They divide the bagels equally among themselves and 3 other friends.
divided to 5
\(\frac{8}{5}\) = \(\frac{5}{5}\) + \(\frac{3}{5}\)
\(\frac{5}{5}\) = 1
1\(\frac{3}{5}\) bagels that each person get

Question 2.
Maya has 5 sheets of paper. She cuts 3 circles from each sheet. The circles are shared equally among 6 students. How many circles does each student get?
Answer:
2\(\frac{1}{3}\)
Explanation:
Maya has 5 sheets of paper. She cuts 3 circles from each sheet.
5 x 3 = 15
The circles are shared equally among 6 students.
Divided among 6 students
\(\frac{15}{6}\) = \(\frac{12}{6}\) + \(\frac{3}{6}\)
2 + \(\frac{3}{6}\) = 2\(\frac{1}{3}\)
2\(\frac{1}{3}\) circles that each student get

Solve. Show your work.

Question 3.
Mrs. Quirk buys 1 quart of milk. Michael drinks \(\frac{2}{7}\) quart of it. Joel drinks \(\frac{1}{3}\) quart of it. How many quarts of milk are left?
Answer:
\(\frac{12}{21}\)
Explanation:
Mrs. Quirk buys 1 quart of milk. Michael drinks \(\frac{2}{7}\) quart of it.
Joel drinks \(\frac{1}{3}\) quart of it.
1 – (\(\frac{2}{7}\) + \(\frac{1}{3}\))

\(\frac{8}{21}\) quarts of milk are left

Solve. Show your work

Question 4.
An organic farmer buys a piece of land. She plants tomatoes on \(\frac{5}{9}\) of the land and green beans on \(\frac{1}{12}\) of the land. She plants potatoes on the remaining piece of land. What fraction of the land does she plant with potatoes?
Answer:
\(\frac{13}{36}\) of the land that she plant with potatoes
Explanation:
An organic farmer buys a piece of land.
She plants tomatoes on \(\frac{5}{9}\) of the land
and green beans on \(\frac{1}{12}\) of the land.
She plants potatoes on the remaining piece of land.
total land = 1
Tomatoes = \(\frac{5}{9}\)1
Green beans = \(\frac{1}{12}\)1
potatoes = 1 – (\(\frac{5}{9}\) + \(\frac{1}{12}\))
= \(\frac{20+3}{36}\)
= \(\frac{36-23}{36}\)
= \(\frac{13}{36}\)
\(\frac{13}{36}\) of the land that she plant with potatoes

Solve. Show your work

Question 5.
A package contains three types of bagels, plain, wheat, and sesame. The weight of the plain bagels is 1\(\frac{2}{3}\) pounds. The weight of the wheat bagels is 2\(\frac{5}{6}\) pounds. The total weight of the three types of bagels is 5 pounds. What is the weight of the sesame bagels?
Answer:

Explanation:
A package contains three types of bagels, plain, wheat, and sesame. The weight of the plain bagels is 1\(\frac{2}{3}\) pounds.
The weight of the wheat bagels is 2\(\frac{5}{6}\) pounds.
The total weight of the three types of bagels is 5 pounds.
\(\frac{1}{2}\) is the weight of the sesame bagels

Question 6.
Reggie and Jay go for a walk every morning. Reggie walks 2\(\frac{1}{4}\) miles. Jay walks 1\(\frac{3}{8}\) miles less than Reggie. What is the total distance they walk every morning?
Answer:
3 \(\frac{1}{8}\) is the total distance they walk every morning
Explanation:
Reggie and Jay go for a walk every morning. Reggie walks 2\(\frac{1}{4}\) miles.
2\(\frac{1}{4}\) = \(\frac{9}{4}\)
Jay walks 1\(\frac{3}{8}\) miles less than Reggie.
1\(\frac{3}{8}\) = \(\frac{11}{8}\)
\(\frac{9}{4}\) – \(\frac{11}{8}\)
= \(\frac{18-11}{8}\) = \(\frac{7}{8}\)
Total distance
\(\frac{9}{4}\) + \(\frac{7}{8}\)
= \(\frac{9 + 7}{8}\)
= \(\frac{25}{8}\)
= 3 \(\frac{1}{8}\)

Solve. Show your work.

Question 7.
Alicia uses \(\frac{3}{4}\) gallon of paint to paint her room. Becca uses \(\frac{4}{5}\) gallon more than Alicia to paint her room. How many gallons of paint do they use altogether?
Answer:
= \(\frac{23}{10}\) gallons of paint that they use altogether
Explanation:
Alicia uses \(\frac{3}{4}\) gallon
Becca uses \(\frac{4}{5}\) gallon
\(\frac{4}{5}\) > \(\frac{3}{4}\)
so, Becca =
\(\frac{4}{5}\) + \(\frac{3}{4}\)
= \(\frac{15+16}{20}\) = \(\frac{31}{20}\)
Altogether
\(\frac{3}{4}\) + \(\frac{31}{20}\)
= \(\frac{15+31}{20}\)
= \(\frac{46}{20}\)
= \(\frac{23}{10}\)

Solve. Show your work.

Question 8.
A monkey climbs 3\(\frac{3}{5}\) feet up a coconut tree that has a height of 10 feet. It rests for a while and continues to climb another 4\(\frac{2}{3}\) feet up the tree. How many more feet must the monkey climb to reach the top of the tree?
Answer:
\(\frac{26}{15}\)
Explanation:
3\(\frac{3}{5}\) + 4\(\frac{2}{3}\)

10 – \(\frac{124}{15}\)

\(\frac{26}{15}\) more feet must the monkey climb to reach the top of the tree

Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 4 Practice 6 Dividing Fractions and Whole Numbers to finish your assignments.

Math in Focus Grade 5 Chapter 4 Practice 6 Answer Key Dividing Fractions and Whole Numbers

Shade parts of the model to show the division expression. Then complete.

Example

Question 1.
\(\frac{1}{6}\) ÷ 3

Answer:

Explanation:
Shaded the parts of the model to show the division expression

Divide. Draw models to help you.

Question 2.
\(\frac{4}{5}\) ÷ 2 =
Answer:

Explanation:
\(\frac{4}{5}\) ÷ 2 = \(\frac{4}{10}\)

Question 3.
\(\frac{6}{7}\) ÷ 3 =
Answer:

Explanation:
\(\frac{6}{7}\) ÷ 3 = \(\frac{6}{21}\)

Question 4.
\(\frac{3}{4}\) ÷ 2 =
Answer:

Explanation:
\(\frac{3}{4}\) ÷ 2 = \(\frac{3}{8}\)

Question 5.
\(\frac{2}{5}\) ÷ 3 =
Answer:

Explanation:
\(\frac{2}{5}\) ÷ 3 = \(\frac{2}{15}\)

Divide. Express each quotient in simplest form.

Question 6.
\(\frac{4}{5}\) ÷ 7 =
Answer:

Explanation:
\(\frac{4}{5}\) ÷ 7 = \(\frac{4}{35}\)

Question 7.
\(\frac{5}{8}\) ÷ 9 =
Answer:

\(\frac{5}{8}\) ÷ 9 = \(\frac{5}{72}\)

Question 8.
\(\frac{8}{9}\) ÷ 4 =
Answer:

Explanation:
\(\frac{8}{9}\) ÷ 4 = \(\frac{8}{36}\)

Question 9.
\(\frac{10}{11}\) ÷ 5 =
Answer:

Explanation:
\(\frac{10}{11}\) ÷ 5 = \(\frac{10}{55}\)

Divide. Draw models to help you.

Example

Question 10.
1 ÷ \(\frac{1}{4}\) = ____
Answer:

Explanation:
1 ÷ \(\frac{1}{4}\) =  \(\frac{1}{4}\)

Question 11.
3 ÷ \(\frac{1}{3}\) = ____
Answer:

Explanation:
3 ÷ \(\frac{1}{3}\) = \(\frac{1}{9}\)

Question 12.
5 ÷ \(\frac{1}{8}\) = ____
Answer:
1 out of 40 are colored
Explanation:
5 ÷ \(\frac{1}{8}\) = \(\frac{1}{40}\)

Question 13.
9 ÷ \(\frac{1}{6}\) = ____
Answer:
1 out of 54 is colored
Explanation:
9 ÷ \(\frac{1}{6}\) = \(\frac{1}{54}\)

Solve. Show your work

Question 14.
Mr. Chagall’s garden covers \(\frac{2}{5}\) of an acre of land. He divides the land into 4 equal sections. What fraction of an acre is each section of the garden?
Answer:

Explanation:
Mr. Chagall’s garden covers \(\frac{2}{5}\) of an acre of land.
He divides the land into 4 equal sections.
\(\frac{1}{10}\)  fraction of an acre is each section of the garden

Question 15.
Gordon pours \(\frac{4}{9}\) quart of milk from a pitcher equally into 4 mugs.
a. Find the amount of milk in each mug.
Answer:

4 mugs is \(\frac{1}{9}\)

b. Find the amount of milk in 3 mugs.
Answer:

4 mugs is \(\frac{1}{9}\)

Solve. Show your work.

Question 16.
Calvin buys \(\frac{3}{5}\) pound of ground beef. He divides the beef into 6 equal portions.

a. Find the weight of 1 portion of beef.
Answer:
If he divides in to 1 portion the weight is \(\frac{3}{5}\)

b. Find the weight of 4 portions of beef.
Answer:

The weight of 4 portions is  \(\frac{3}{10}\)

Question 17.
Devon buys a plot of land with an area of \(\frac{5}{6}\) square kilometer. He divides the land equally into 4 smaller plots. What is the total area of 3 of the smaller plots of land?
Answer:

Explanation:
Devon buys a plot of land with an area of \(\frac{5}{6}\) square kilometer.
He divides the land equally into 4 smaller plots.
the total area of 3 of the smaller plots of land is \(\frac{10}{9}\)

Solve. Show your work

Question 18.
Sandra has a 5-foot length of canvas. She cuts the canvas into pieces that are \(\frac{1}{4}\) feet long. How many pieces will she have?
Answer:

Explanation:
Sandra has a 5-foot length of canvas.
She cuts the canvas into pieces that are \(\frac{1}{4}\) feet long.
20 pieces she will have

Question 19.
Aidan uses \(\frac{1}{4}\) of the water in a bucket to water 1 potted plant. How many potted plants can Aidan water with 3 full buckets of water?
Answer:
\(\frac{1}{4}\) x 3 = 12

Explanation:
Aidan uses \(\frac{1}{4}\) of the water in a bucket to water 1 potted plant.
12 potted plants can Aidan water with 3 full buckets of water

Question 20.
Mrs. Carter needs \(\frac{1}{2}\) meter of cloth to make a pillowcase. How many pillowcases can she make with 5 meters of cloth?
Answer:

Explanation:
Mrs. Carter needs \(\frac{1}{2}\) meter of cloth to make a pillowcase.
10 pillowcases can she make with 5 meters of cloth?

Practice the problems of Math in Focus Grade 3 Workbook Answer Key Chapter 8 Practice 2 Quotient and Remainder to score better marks in the exam.

Math in Focus Grade 3 Chapter 8 Practice 2 Answer Key Quotient and Remainder

Fill in the blanks. Use repeated subtraction to help you.

Question 1.
24 ones ÷ 3 ______ R ______
Quotient = ___________ ones
Remainder = __________ ones
Answer:
24 ones ÷ 3 = 8 R 0
Quotient = 8 ones
Remainder = 0 ones
Explanation:
24 – 3 = 21
21 – 3 = 18
18 – 3 = 15
15 – 3 = 12
12 – 3 = 9
9 – 3 = 3
3 – 3 = 0

Question 2.
22ones ÷ 4 _______ R _______
Quotient ____________ ones
Remainder __________ ones
Answer:
22ones ÷ 4 = 5 R 2
Quotient 4 ones
Remainder 2 ones
Explanation:
22 – 4 = 18
18 – 4 = 14
14 – 4 = 10
10 – 4 = 6
6 – 4 = 2

Find the quotient. Use related multiplication facts to help you.

Example
27 ÷ 3 = 9

Question 3.
20 ÷ 4 = ___
Answer:
20 ÷ 4 = 4
Explanation:
Used the multiplication fact
4 x 5 = 20
Quotient = 4

Question 4.
24 ÷ 4 = ____
Answer:
24 ÷ 4 = 6
Explanation:
Used the multiplication fact
4 x 6 = 24
Quotient = 6

Question 5.
40 ÷ 5 = ___
Answer:
40 ÷ 5 = 8
Explanation:
Used the multiplication fact
5 x 8 = 40
Quotient = 8

Question 6.
32 ÷ 4 = ___
Answer:
32 ÷ 4 = 8
Explanation:
Used the multiplication fact
4 x 8 = 32
Quotient = 8

Question 7.
24 ÷ 3 = ___
Answer:
24 ÷ 3 = 8
Explanation:
Used the multiplication fact
3 x 8 = 24
Quotient = 8

Question 8.
50 ÷ 5 = ___
Answer:
50 ÷ 5 = 10
Explanation:
Used the multiplication fact
5 x 10 = 50
Quotient = 10

Question 9.
18 ÷ 2 = ___
Answer:
18 ÷ 2 = 9
Explanation:
Used the multiplication fact
2 x 9 = 18
Quotient = 9

Divide. Use repeated subtraction or related multiplication facts to help you. The remainder is the number of eyes each character has. Draw the correct number of eyes for each character.

Example

Question 10.

Quotient = ____ ones
Remainder = ____ ones
Answer:

Quotient = 8 ones
Remainder = 3 ones
Explanation:
4 x 8 = 32
35 – 32 = 3
so, the character has 3 eyes

Question 11.

Quotient = ____ ones
Remainder = ____ ones
Answer:

Quotient = 7 ones
Remainder = 1 ones
Explanation:
5 x 7 = 35
36 – 35 = 1
so, the character has 1 eye

Question 12.

Quotient = ____ ones
Remainder = ____ ones
Answer:

Quotient = ____ ones
Remainder = ____ ones
Explanation:
5 x 9 = 45
49 – 45 = 4
so, the character has 4 eyes

Practice the problems of Math in Focus Grade 4 Workbook Answer Key Chapter 9 Practice 1 Understanding and Measuring Angles to score better marks in the exam.

Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles

Name the angles in two ways.

Example

Question 1.

Answer:
∠STU or ∠UTS.

Explanation:
The name of the angle T is ∠STU or ∠UTS.

Question 2.

Answer:
∠XYZ or ∠ZYX.

Explanation:
The name of the angle Y is ∠XYZ or ∠ZYX.

Question 3.

Angle at A: ∠___ or ∠___
Angle at B: ∠___ or ∠___
Angle at C: ∠___ or ∠___
Answer:
∠BAC or ∠CAB,
∠ABC or ∠CBA,
∠BCA or ∠ACB.

Explanation:
The name of angle A is ∠BAC or ∠CAB.
The name of angle B is ∠ABC or ∠CBA.
The name of angle A is ∠BCA or ∠ACB.

Name the marked angles in two ways.

Example
∠p: ∠AED or ∠DEA

Question 4.
∠q: ∠____ or ∠_____
Answer:
∠q: ∠EDC or ∠CDE

Explanation:
The marked angle ∠q is ∠EDC or ∠CDE.

Question 5.
∠r: ∠____ or ∠_____
Answer:
∠r: ∠BCD or ∠DCB.

Explanation:
The marked angle ∠r is ∠BCD or ∠DCB.

Question 6.
∠s: ∠____ or ∠_____
Answer:
∠s: ∠BAE or ∠EAB.

Explanation:
The marked angle ∠s is ∠BAE or ∠EAB.

Name the marked angles in two ways.

Question 7.
∠PRQ: ∠___ or ∠___
Answer:
∠PRQ: ∠b or ∠QRP.

Explanation:
The name of the marked ∠PRQ is ∠b or ∠QRP.

Question 8.
∠QPR: ∠___ or ∠___
Answer:
∠QPR: ∠a or ∠RPQ.

Explanation:
The name of the marked ∠QPR is ∠a or ∠RPQ.

Decide which scale you would use to measure each angle.
Fill in the blanks with inner scale or outer scale.

Examples

Question 9.

Answer:
Outer scale.

Explanation:
Here, the angle opens to the left of the protractor, so the shown image is an outer scale.

Question 10.

Answer:
Outer scale.

Explanation:
Here, the angle opens to the left of the protractor, so the shown image is an outer scale.

Question 11.

Answer:
Inner scale.

Explanation:
Here, the angle opens to the right of the protractor, so the shown image is an inner scale.

Question 12.

Answer:
Inner scale.

Explanation:
Here, the angle opens to the left of the protractor, so the shown image is an inner scale.

Peter is walking along a path. Measure the marked angles along this path.

Question 17.

Answer:

Explanation:
Here, the measure of ∠FGH = 80°,
the measure of ∠EFG = 75°,
the measure of ∠CDE = 80°,
the measure of ∠GHI = 20°,
the measure of ∠DEF = 70°

Practice the problems of Math in Focus Grade 1 Workbook Answer Key Chapter 13 Addition and Subtraction to 40 to score better marks in the exam.

Math in Focus Grade 1 Chapter 13 Answer Key Addition and Subtraction to 40

Put on Your Thinking Cap!

Challenging Practice

Fill in the circles with numbers.

Question 1.

Answer:

Question 2.

Answer:

Question 3.
Luis places a ball into the number machine below. What happens to the number on the ball? Fill in the missing numbers.

Answer:
Given,
Number 9 by adding 20 to 9 we get 29,
By subtracting 2 from 29 we get 27.

Question 4.
Luis places another ball into the number machine below. What happens to the number on the ball?
Fill in the missing numbers.

Answer:
Given,
Number 15 by adding 5 to 15 we get 20,
By subtracting 13 from 20 we get 7.

Put on Your Thinking Cap!

Problem Solving

Dawn, Jamal and Nate go to an amusement park.

They buy tokens. Then they go for rides. Which rides do they take?

Circle the correct rides.

Question 1.
Dawn uses 15 tokens to go on two different rides. Roller Coaster Bumper Car Flying Elephant Merry-Go-Round
Answer:
Given,
Dawn uses 15 tokens to gon on two different rides,
Roller coaster ride is for 10 tokens,
Merry-Go-Round ride is 5 tokens,
By adding 10 with 5 we get 15,

Question 2.
Jamal uses 12 tokens to go on two different rides. Roller Coaster Bumper Car Flying Elephant Merry-Go-Round
Answer:
Given,
Jamal uses 12 tokens to go on two different rides,
Bumper car ride is for 7 tokens,
Merry-Go-Round ride is for 5 tokens,
By adding 7 with 5 we get 12.

Question 3.
Nate uses 21 tokens to go on three different rides. Roller Coaster Bumper Car Flying Elephant Merry-Go-Round
Answer:
Nate uses 21 tokens to go on three different rides,
Roller coaster ride is for 10 tokens,
Flying Elephant ride is for 6 tokens,
Merry-Go-Round ride is for 5 tokens,
By adding 10 with 6 we get 16 and then adding 16 with 5 we get 21.

Chapter Review/Test
Vocabulary
Choose the correct word.

Question 1.
You _________ from the greater number when you subtract.
Answer: You subtract smaller number from the greater number when you subtract.

Question 2.
You can _______ 13 ones into 1 ten 3 ones.
Answer: You can split 13 ones into 1 ten 3 ones.

Question 3.
You can add two numbers using the _______ method.
Answer: You can add two numbers using the sum method.

Question 4.
A _____________ can be used to add numbers.
Answer: A addition can be used to add numbers.

Concepts and Skills

Add or subtract.

Question 5.
32 + 7 = ______
Answer: 39

Question 6.
18 + 19 = ______
Answer: 37

Question 7.
27 – 3 = ______
Answer: 24

Question 8.
36 – 18 = ______
Answer: 18

Question 9.
4 + 8 + 6 = ______
Answer: 18

Question 10.
9 + 8 + 5 = ______
Answer: 22

Problem Solving

Solve.

Question 11.
Nicole blows up 30 balloons for a class party. Michael blows up 4 fewer balloons than Nicole. How many balloons does Michael blow up?
Michael blows up ___ balloons.
Answer:
Given,
Nicole blows up 30 balloons for a class party,
Michael blows up 4 fewer balloons than Nicole,
By subtracting 4 from 30 we get 26,
Therefore, Michael blows up 26 balloons.

Question 12.
Ryan has 23 bookmarks. He has 5 fewer bookmarks than Ivy. How many bookmarks does Ivy have?
Ivy has ___ bookmarks.
Answer:
Ryan has 23 bookmarks, He has 5 fewer bookmarks than Ivy,
By adding 5 from 23 we get 28,
Therefore, Ivy has 28 bookmarks.

This handy Math in Focus Grade 4 Workbook Answer Key Chapter 10 Practice 1 Drawing Perpendicular Line Segments detailed solutions for the textbook questions.

Math in Focus Grade 4 Chapter 10 Practice 1 Answer Key Drawing Perpendicular Line Segments

Use a protractor to draw perpendicular line segments.

Example

Question 1.
Draw a line segment perpendicular to \(\overline{P Q}\)

Answer:

Drawn a line segment perpendicular to PQ.

Question 2.
Draw a line segment perpendicular to \(\overline{T U}\) through point X

Answer:

Drawn a line segment perpendicular to TU through point X.

Use a drawing triangle to draw perpendicular line segments.

Example

Question 3.
Draw a line segment perpendicular to \(\overline{E F}\).

Answer:

Draw a line segment perpendicular to EF.

Question 4.
Draw a line segment perpendicular to \(\overline{C D}\).

Answer:

Drawn a line segment perpendicular to CD.

Question 5.
Draw a line segment perpendicular to \(\overline{V W}\) at point P.
Then, draw another line segment perpendicular to \(\overline{V W}\) through point Q.

Answer:

Drawn a line segment perpendicular to VW at point P.
Then, drawn another line segment perpendicular to VW through point Q.

This handy Math in Focus Grade 4 Workbook Answer Key Chapter 11 Squares and Rectangles detailed solutions for the textbook questions.

Math in Focus Grade 4 Chapter 11 Answer Key Squares and Rectangles

Math Journal

Figure ABCD is a rectangle. Complete each statement. Use the words in the box.

Question 1.
A rectangle has ___________ ___________
Answer:
A rectangle has four sides.

Question 2.
Its _______________ sides are ____________
Answer:
Its opposite sides are parallel.

Question 3.
Its ____________ sides are ____________
Answer:
Its opposite sides are of equal length.

Question 4.
It has ____________ ____________ angles.
Answer:
It has four right angles.

Put On Your Thinking Cap!

Challenging Practice

Question 1.
The figure is made up of two squares, one with 10-inch sides and the other with 6-inch sides. Find QR.

QR = ___________ in.
Answer:

In the above image we can observe QS = 10 inches and RS = 6 inches
QR = QS – RS
= 10 – 6
= 4 inches
QR = 4 inches

Question 2.
The figure is made up of three identical squares with 3-inch sides. Find the total length of \(\overline{B C}\) and \(\overline{F G}\) .

BC + FG = ____________ in.
Answer:

BC + FG = AH – CF
= 6 –  3
= 3
BC + FG = 3 inches

Put On Your Thinking Cap!

Problem Solving

Question 1.
Look at the figure. What is the least number of squares that must be added to make a rectangle?

Answer:

To make rectangle we need to add 5 squares to the above figure.

Question 2.
Draw line segments to divide the figure into three rectangles in three ways.

Answer:

Question 3.
Cut out the shaded rectangles and squares. Arrange them to fit inside rectangle A without overlapping. Then attach them with tape.


Answer:

Practice the problems of Math in Focus Grade 3 Workbook Answer Key Chapter 11 Practice 2 Kilometers and Meters to score better marks in the exam.

Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters

Complete.

Example

Question 1.

5 km 26 m = __________ m + __________ m
= _________ m
Answer:

5 km 26 m = 5000 m + 26 m
= 5026 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Question 2.

8 km 8 m = __________ m + __________ m
= _________ m
Answer:

8 km 8 m = 8000 m + 8 m
= 8008 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Write in meters.

Question 3.
5 km 505 m = __________ m + __________ m = __________ m
Answer:
5 km 505 m = 5000 m + 505 m = 5505 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Question 4.
8 km 500 m = __________ m + __________ m = __________ m
Answer:
8 km 500 m = 8000 m + 500 m = 8500 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Question 5.
8 km 50 m = __________ m + __________ m = __________ m
Answer:
8 km 50 m = 8000 m + 50 m = 8050 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Question 6.
9 km 5 m = __________ m + __________ m = __________ m
Answer:
9 km 5 m = 9000 m + 5 m = 9005 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Complete.

Example

Question 7.

3,056 m = ___________ km ___________ m
Answer:

3,056 m = 3 km 56 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Question 8.

6,009 m = ___________ km ___________ m
Answer:

6,009 m = 6 km 9 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Write in kilometers and meters.

Question 9.
2,050 m = ___________ m + ___________ m = ___________ km ___________ m
Answer:
2,050 m = 2000 m + 50 m = 2 km 50 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Question 10.
7,900 m = = ___________ m + ___________ m = ___________ km ___________ m
Answer:
7,900 m = = 7000 m + 900 m = 7 km 900 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Question 11.
9,090 m = = ___________ m + ___________ m = ___________ km ___________ m
Answer:
9,090 m = = 9000 m + 90 m = 9 km 90 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Question 12.
9,009 m = = ___________ m + ___________ m = ___________ km ___________ m
Answer:
9,009 m = = 9000 m + 9 m = 9 km 9 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Choose the unit you would use to measure each. Write kilometers or meters.

Question 13.

The building is about 30 ____________ tall.
Answer:
The building is about 30 meters tall.
Explanation:
The building cannot be measured in Kilometers
it is measured in meters

Question 14.

The distance from Washington, D.C., to Syracuse, New York, is about 470 _____________.
Answer:
The distance from Washington, D.C., to Syracuse, New York, is about 470 kilometers.
Explanation:
The distance between states cannot be measured in meters
so it is measured in kilometers

Question 15.

A bus is about 10 _____________ long.
Answer:
A bus is about 10 meters long.
Explanation:
The bus cannot be measured in Kilometers
it is measured in meters

Question 16.

The total length of the Golden Gate Bridge is about 3 _____________.
Answer:
The total length of the Golden Gate Bridge is about 3 kilometers.
Explanation:
The length of bridge cannot be measured in meters
so it is measured in kilometers

Complete.

Jacob is at an amusement park. He wants to visit all four theme parks. Find the length of each path he wants to take.

Question 17.
Jacob needs to travel _____________ meters from the entrance to Fantasy Land.
Answer:
Jacob needs to travel 2500 meters from the entrance to Fantasy Land.
Explanation:
The length from entrance to Fantasy Land.
1 kilometer = 1000 meters
2 km 500 m = 2000 + 500 = 2500 meters

Question 18.
Super Land is _____________ meters from Fantasy Land.
Answer:
Super Land is 4070 meters from Fantasy Land.
Explanation:
1 kilometer = 1000 meters
The distance from Super Land  to Fantasy Land is 4 km 70 m
4000 + 70 = 4070 meters

Question 19.
From _____________ to Magic Land, he has to travel a distance of 9 kilometers 9 meters.
Answer:
From super land to Magic Land, he has to travel a distance of 9 kilometers 9 meters.
Explanation:
The distance from super land to Magic Land, is 9009 meters
1 kilometer = 1000 meters
9 kilometers + 9 m

Question 20.
Magic Land is _____________ kilometers _____________ meters from Mystery Land.
Answer:
Magic Land is 5 kilometers 808 meters from Mystery Land.
Explanation:
1 kilometer = 1000 meters
5808 = 5000 + 808 = 5 km + 808 m

Question 21.
Mystery Land is _____________ kilometers _____________ meters from the entrance.
Answer:
Mystery Land is 4 kilometers 76 meters from the entrance.
Explanation:
1 kilometer = 1000 meters
4076 = 4000 + 76 = 4km + 76 meters