Hillary

Practice the problems of Math in Focus Grade 1 Workbook Answer Key Chapter 9 Length to score better marks in the exam.

Math in Focus Grade 1 Chapter 9 Answer Key Length

Math Journal

Help Jamie put his toys away. Read. Then cut out the toys on page 227 and paste them on the shelf.

Put on Your Thinking cap!

Challenging Practice

Solve.

Mae moves the counters on a board. The arrows show the moves.

Question 1.
Which counter makes the longest move?
__________
Answer: Counter C makes the longest move.

Question 2.
Which counter makes the shortest move?
__________
Answer: Counter B makes the shortest move.

Question 3.
Which counter moves 5 squares? __________
Answer: Counter C moves 5 squares.

Question 4.
Which counters move the same length? ___ and ___
Answer: D and E counters moves the same length.

Three boys are lying on a mat.

Question 5.
Who is the tallest? __________
Answer: Charlie is the tallest with length of 4 units.

Question 6.
Who is the shortest? __________
Answer: Alan is the shortest with length of 2 units.

Write the names of the girls in the boxes.

Question 7.
Tia is taller than Nora. Sue is the tallest.

Answer:

Look at the picture and read. Then draw.

Question 8.
Draw a straw as long as Straw A. Start at P.
Answer:

Question 9.
Draw a straw longer than Straw A. Start at X.
Answer:

Arrange the bears in order. Write the letter.

Question 10.

Answer:

Put On Your Thinking Cap!

Problem Solving

Fill in the blanks.

Question 1.
Tim, Ella, Rosa, and Ling knit some scarves. Who does each scarf belong to?

Answer:

Chapter Review/Test
Vocabulary
Match.

Question 1.

Answer:

Write longest or shortest.

Question 2.

The paper clip is the __________
The ruler is the __________
Answer:
The paper clip is the shortest
The ruler is the longest

Concepts and Skills
Draw a start line.
Read and color.

Question 3.
Color the longest ribbon yellow. Color the shortest ribbon blue.

Answer:

Fill in the blanks.

Question 4.

Answer:

Problem Solving

Solve.

Question 5.
Madison is ____ units tall.
Answer: Madison is 3 units tall.

Question 6.
Patch is ___ units tall and ___ units long.
Answer: Patch is 2 units tall and 2 units long.

Question 7.
The longest balloon is ____ units long.
Answer: The longest balloon is 3 units long.

Question 8.
Whose balloon has the longest string? __________
Answer: Patch’s balloon has the longest string.

Solve.

Question 9.
Three children are on stage. Ben is taller than Ally. Charlie is shorter than Ben. Ally is the shortest. Who is the tallest? _____ is the tallest. Who is not the shortest and not the tallest?

Answer: Ben is the tallest,
Charlie is not the shortest and not the tallest,
Among all Ally is the shortest.

This handy Math in Focus Grade 5 Workbook Answer Key Chapter 13 Practice 1 Classifying Triangles provides detailed solutions for the textbook questions.

Math in Focus Grade 5 Chapter 13 Practice 1 Answer Key Classifying Triangles

Which of these triangles are equilateral, isosceles, or scalene? Use a centimeter ruler to find out.

Question 1.

Triangle ABC is a/an triangle.
__Equilateral_ triangle.
Answer:

Triangle ABC is an equilateral triangle,

Explanation:
Given triangle ABC is an equilateral triangle because all
given 3 sides are equal.

Question 2.

Triangle DEF is a/an
_____ triangle.
Answer:

Triangle DEF is an isosceles triangle,

Explanation:
Given triangle DEF is an isosceles triangle because
only 2 sides are equal and congurent.

Question 3.

Triangle LMN is a/an
_____ triangle.
Answer:

Triangle LMN is an  scalene triangle,

Explanation:
Given triangle LMN is an scalene triangle because all
given 3 sides are not equal as LM ≠ MN ≠ LN.

Question 4.

Triangle PQR is a/an
___ triangle.
Answer:

Triangle PQR is a scalene triangle,

Explanation:
Given triangle PQR is a scalene triangle because all
given 3 sides are not equal as PQ ≠ PR ≠ RQ.

Which of these triangles are right, obtuse, or acute? Use a protractor to find out.

Question 5.

Triangle ABC is a/an
____ triangle.
Answer:

Explanation:
Given triangle ABC is acute triangle, because angle B and C is measuring less than 90⁰.

Question 6.

Triangle DEF is a/an
____ triangle.
Answer:

Explanation:
Given triangle DEF is right triangle, because angle D is measuring 90⁰.

Question 7.

Triangle LMN is a/an
____ triangle.
Answer:

Explanation:
Given triangle LMN is obtuse triangle, because angle L is measuring more than 90⁰ as 110⁰.

Question 8.

Triangle PQR is a/an
____ triangle.
Answer:

Explanation:
Given triangle PRQ is right triangle, because angle P is measuring 90⁰.

Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 5 Practice 1 Number Patterns and Relationships to finish your assignments.

Math in Focus Grade 5 Chapter 4 Practice 1 Answer Key Number Patterns and Relationships

Write the next three terms of each number pattern. Then describe the rule for each pattern.

Question 1.
3, 6, 9, 12, __, ___, ____
Rule: ____
Answer:
3, 6, 9, 12, 15, 18, 21
Rule: Multiples of 3.
Explanation:
The next three terms of a given number pattern 3, 6, 9, 12 is 15, 18, 21.

Question 2.
4,000,000, 400,000, 40,000, 4,000, ___, ___,
____,
Rule: ____
Answer:
4,000,000, 400,000, 40,000, 4,000, 4,00, 40, 4.

Question 3.
3, 6, 12, 24, __, ___, ____
Rule: _____
Answer:
3, 6, 12, 24, 48, 96, 192

Question 4.
50, 49, 47, 44, 40, __, ___, ____
Rule: _________
Answer:15
50, 49, 47, 44, 40, 35, 29, 22

Complete the tables.

Question 5.
a.
Answer:

b.
Answer:

Complete the table and answer the questions.

Question 6.
The table shows the relationship between temperatures measured in degrees Celsius (°C) and degrees Fahrenheit (°F).

a. If the temperature is 100°F outside, is this temperature greater than or less than 40°C? Explain.
Answer:

b. Recently meteorologists added a new color to their weather maps for temperatures of 1 22°F or greater. What temperature is this in degrees Celcius?
Answer:

Complete the tables and answer the questions.

Question 7.
A set of 20 plastic cups costs $2.50.

a. What is the cost of 60 cups?
Answer:
$2.50 + $2.50 + $2.50 = $7.50
Explanation:
The cost of 60 cups is $7.50.

b. What is the cost of 8 sets of cups?
Answer:
20 cups x 8 = 160 cups
$2.50 x 8 = $20
The cost of 160 cups is $20.
Explanation:
A set of 20 plastic cups costs $2.50. Multiply $2.50 with 8 the product is $20. The cost of 8 sets of cups is $20.

c. How many cups can you get for $17.50?
Answer:
20 cups x 7 = 140 cups
$2.50 x 7 = $17.50.
Explanation:
A set of 20 plastic cups costs $2.50. Multiply $2.50 with 7 the product is $17.50. We can get 140 cups for $17.50.

Question 8.
A van travels at a speed of 60 kilometers per hour.

a. How far does the van travel in 6 hours?
Answer:
1 hour = 60 km
6 hours = ?
60 x 6 = 360km
Explanation:
A van travels at a speed of 60 kilometers per hour. Multiply 6 hours with 60 kilometers the product is 260 kilometers. The van travels 360 kilometers in 6 hours.

b. How long does the van take to travel 180 kilometers?
Answer:
1 hour = 60 km
? = 180 km
180km x 1 hour = ? 60 km
180/ 60 = 3hours
Explanation:
A van travels at a speed of 60 kilometers per hour. Divide 180 by 60 the result is 3. The van takes 3 hours to travel 180 kilometers.

c. How long does the van take to travel 180 kilometers?
Answer:

Complete the table and answer the questions.

Question 9.
Alex borrowed $155 from his parents to buy an electronic notepad. He repays some of the loan each week. The table shows how much he still owes after he repays the same amount each week.

a. How much of his loan is Alex repaying each week?
Answer:
Alex repaying each week $10 of his loan.

b. How much will he have left to repay at week 10?
Answer:
At week 10 Alex left to repay $55.

c. Will it take Alex 15 weeks to repay the loan? Explain.
Answer:
Alex takes 16 weeks to repay the loan. Every week he repaying $10. At 15 week Alex left to repay $5.

Practice the problems of Math in Focus Grade 5 Workbook Answer Key Chapter 9 Practice 6 Real-World Problems: Decimals to score better marks in the exam.

Math in Focus Grade 5 Chapter 9 Practice 6 Answer Key Real-World Problems: Decimals

Solve. Show your work.

Question 1.
How many liters of spring water are in 6 bottles if each bottle contains 0.33 liter of spring water? Round your answer to the nearest liter.
Answer:
2liters
Explanation:
Total bottles = 6
Each bottle contains 0.33 liter of water.
Number of liters of spring water in 6 bottles
0.33 × 6
0.33 rounds to 30.
30 x 6 = 12
12 divided by 6 = 2

Question 2.
A plumber has a copper pipe 0.9 meter long. He cuts the pipe into 4 equal pieces. Find the length of each piece in meters. Round your answer to the nearest tenth of a meter.
Answer: 2m
Explanation:
A plumber has a copper pipe 0.9 meter long.
He cuts the pipe into 4 equal pieces.
Length of each piece
0.9 ÷ 4
0.9 is about 8.
8 ÷ 4 = 2
0.9 ÷ 4 is about 2.

Question 3.
Ashton is thinking of a number. When she divides it by 7, she gets a quotient of 7.35. What number is Ashton thinking of?
Answer: 51.45
Explanation:
First multiply the quotient with the dividend i.e.,
7.35 x 7 = 51.45
Then divide the product with 7
51.45 ÷ 7 = 7.35
So, the estimate of number is 51

Solve. Show your work.

Question 4.
Mr. Kasac drives 32.27 miles from his office to his home. After driving 15.65 miles, he stopped at the dry cleaner’s. How much farther does he have to drive before he gets home? Give your answer to the nearest mile.
Answer: 16 miles
Explanation:
Mr. Kasac drives 32.27 miles from his office to his home.
After driving 15.65 miles, he stopped at the dry cleaner’s.
Still how much he have to drive before he gets home.
32.27 – 15.65
32.27 rounds to 32.
15.65 rounds to 16.
32 – 16 = 16
32.27 – 15.65 is about 16.

Question 5.
4 gallons of low fat milk cost $13.80. Find the cost of 6 gallons of low fat milk.
Answer: $21
Explanation:
4 gallons of low fat milk cost $13.80.
1 gallon of milk = 13.80 ÷ 4
13.80 is rounded as 14
14 ÷ 4 = 3.5
The cost of 6 gallons of low fat milk. = 6 x 3.5 = 21

Question 6.
3 cans of green beans cost $1.80. Rizal bought 9 cans of green beans. How much did he pay?
Answer: $5.4
Estimate: 5
3 cans of green beans cost $1.80.
1 can of green beans = 1.80 ÷ 3
1.80 is rounded as 180
Cost 9 cans of green beans
9 x 0.6 = 5.4
Solve. Show your work.

Question 7.
During the summer, Andrew worked for 6 days each week. He worked 8 hours each day. In a week, he earned $360. How much was he paid for each hour of work?
Answer: $7.5
Estimate: $8
Explanation:
Andrew worked for 6 days each week.
He worked 8 hours each day.
In a week he worked for 6 x 8 = 48
In a week, he earned $360.
Each hour he was paid 360 ÷ 48 = 7.5

Question 8.
A bag contains 10 pounds of dog food. A family feeds their dogs 0.85 pound of dog food a day. How much dog food is left in the bag after 7 days? Give your answer to the nearest pound.
Answer: 4 pounds.
Explanation:
A bag contains 10 pounds of dog food.
A family feeds their dogs 0.85 pound of dog food a day.
Dog consumes food for 7 days = 0.85 x 7 = 5.95
Dog food left in the bag after 7 days = 10 – 5.95 = 4.05

Solve. Show your work.

Question 9.
A box of rice cakes costs $1.95. What is the greatest number of boxes of rice cakes Jared can buy with $10?
Answer: 20 boxes.
Explanation:
A box of rice cakes costs $1.95.
The greatest number of boxes of rice cakes Jared can buy with $10 = 1.95 x 10
1.95 is rounded to 2
So, 2 x 10 = 20

Question 10.
A metal rod 9.4 meters long is cut into two pieces. One piece is 3 times as long as the other. Find the length of the longer piece in meters. Round your answer to the nearest tenth of a meter.
Answer: 7 meters
Explanation:
A metal rod 9.4 meters long is cut into two pieces.
Let the length of shorter piece = x meters
Longer piece is 3 times as long as the shorter.
Longer piece = 3 x shorter piece
Longer piece = 3x
Length of rod = longer piece + shorter piece
9.4 = 3x + x
9.4 = 4x
x = 9.4 ÷ 4
x = 2.35
Length of longer piece = 3x = 3 x 2.35 = 7.05

Solve. Show your work.

Question 11.
Rani bought 9 similar notebooks. She gave the cashier $10 and received change of $5.05. What was the cost of 1 notebook?
Answer: $0.55
Estimate: $1
Explanation:
Rani bought 9 similar notebooks.
She gave the cashier $10 and received change of $5.05.
Change she received = 10 – 5.05 = 4.95
Cost of each notebook = 4.95 ÷ 9 = 0.55

Question 12.
A kilogram of whole-wheat flour costs $6. What is the cost of 400 grams of the flour?
Answer: $2.4
Estimate: $2
Explanation:
A kilogram of whole-wheat flour costs $6.
1 kilogram = 1000 grams
The cost of 400 grams of the flour = 400 x 6/1000 ==
= 2400/1000 = 2.4

Solve. Show your work.

Question 13.
A shop owner bought 30 folders and some journals. He paid $82.50 for the folders. Each journal cost 10 times as much as a folder. What was the cost of each journal?

Answer: $30
Explanation:
A shop owner bought 30 folders and some journals.
He paid $82.50 for the folders.
Each folder = 82.50 ÷ 30
82.50 is rounded as 90
So, 90 ÷ 30 = $3
Each journal cost 10 times as much as a folder.
So,  journal cost 3 x 10 = $30

Question 14.
There are 1,000 workers in a factory. Each worker works 30 hours a week and is paid $10.50 an hour. How much does the company pay the workers altogether each week?
Answer:
Explanation:
There are 1,000 workers in a factory.
Each worker works 30 hours a week and is paid $10.50 an hour.
So, each worker gets 10.50 x 30 = $315 per week.
Total amount does the company pay the workers altogether each week 1000 x 315 = $315,000.

Practice the problems of Math in Focus Grade 5 Workbook Answer Key Chapter 10 Practice 3 Percent of a Number to score better marks in the exam.

Math in Focus Grade 5 Chapter 10 Practice 3 Answer Key Percent of a Number

Multiply.

Question 1.
25% × 84 = ___
Answer: 21
Explanation:
We represent the unknown value with x​.
x= 84 x \( \frac {25} {100} \)

36% × 75 = ___
Answer: 27
Explanation:
We represent the unknown value with x​.
x= 75 x \( \frac {36} {100} \)

Question 3.
40% of 680 = ___
Answer: 272
Explanation:
We represent the unknown value with x​.
x= 680 x \( \frac {40} {100} \)


Question 4.
55% of 720 = ___
Answer: 396
Explanation:
We represent the unknown value with x​.
x= 720 x \( \frac {55} {100} \)


Solve. Show your work.

Question 5.
Of the 240 shirts on a rack, 40% are size medium. How many shirts on the rack are size medium?

Answer:
96 shirts are medium size.
Explanation:
Solve. Show your work.
total shirts are 240
240 x 40 %
= (240 x 40 )/100
= 24 x 4
= 96

Question 6.
There are 720 students in a school. One rainy day, 5% of the students were absent. How many students were absent?

Answer:
36 students were absent.
Explanation:
720 x 5 %
= (720 x 5 )/100
= (72 x 5)/10
= 36

Question 7.
Jenny made 200 bracelets. She sold 64% of the bracelets at a craft fair.

a. How many bracelets did she sell?
Answer:
128 bracelets
Explanation:
200 x 64%
= (200  x 64)/100
= 2 x 64
=128

b. How many bracelets were not sold?
Answer:
72 bracelets or 36%
Explanation:
200 – 128 = 72
or 100% – 64% = 36%
200 x 36%
= (200 x 36)/100
= 72 bracelets

Solve. Show your work.

Question 8.
There were 12,000 spectators in one section of the stadium. In that section, 55% had on red shirts and the rest had on white shirts. How many spectators had on white shirts?
Answer:
5400 spectators had on white shirts
Explanation:
12000 x 55%
= (12000 x 55)/100
= 6600 red shirts
12000 – 6600 = 5400 white shirts

Question 9.
Mrs. Patel went shopping with $1 20. She spent 12% of the money on meat, and 25% on vegetables. How much money did she have left?
Answer: $75.6
Explanation:
money spent on meat
$120 x 12%
(120 x 12)/100
= $14.4
money spent on vegetables
$120 x 25%
(120 x 25)/100
= $30
money left
120 – (14.4 + 30) =75.6

Solve. Show your work.

Question 10.
A vendor sells three types of watches. Of the watches ¡n stock, 20% are mens watches, 40% are ladies watches and the rest are children watches. There are 250 watches altogether. How many children’s
watches are there?
Answer:
100 watches are of children.
Explanation:
20% men watches
250 x 20% = (250 x 20)/100 = 50 watches are of men
40% ladies watches
250 x 40% = (250 x 40)/100 = 100 watches are of ladies
40% children watches
250 x 40% = (250 x 40)/100 = 100 watches are of children.

This handy Math in Focus Grade 5 Workbook Answer Key Chapter 11 Practice 4 Theoretical Probability and Experimental Probability provides detailed solutions for the textbook questions.

Math in Focus Grade 5 Chapter 11 Practice 4 Answer Key Theoretical Probability and Experimental Probability

Use the table to answer the questions.
Express each probability as a decimal.

A spinner has four equal sections in four different colors, red, blue, green, and yellow. The spinner is spun 100 times. The table shows the number of times it lands on each color.

Question 1.
What is the experimental probability of landing on red?
___________
Answer:
\( \frac {28} {100} \) = 0.28
Explanation:
Spinner is spun 100 times is denominator and spinner landing on red is 28 as numerator,
the fraction is the probability value.
As the probability is a number that reflects the chance or likelihood that a particular event will occur.
So red color lands 0.28 times.

Question 2.
What is the experimental probability of landing on blue?
___________
Answer:
\( \frac {25} {100} \) = 0.25
Explanation:
Spinner is spun 100 times is denominator and spinner landing on blue is 25 as numerator,
the fraction is the probability value.
As the probability is a number that reflects the chance or likelihood that a particular event will occur.
So blue color lands 0.25 times.

Question 3.
What is the experimental probability of landing on green?
___________
Answer:
\( \frac {24} {100} \) = 0.24
Explanation:
Spinner is spun 100 times is denominator and spinner landing on green is 24 as numerator,
the fraction is the probability value.
As the probability is a number that reflects the chance or likelihood that a particular event will occur.
So green color lands 0.24 times.

Question 4.
What is the experimental probability of landing on yellow?
___________
Answer:
\( \frac {23} {100} \) = 0.23
Explanation:
Spinner is spun 100 times is denominator and spinner landing on yellow is 23 as numerator,
the fraction is the probability value.
As the probability is a number that reflects the chance or likelihood that a particular event will occur.
So yellow color lands 0.23 times.

Question 5.
What is the theoretical probability of landing on each of the four colors?
___________
Answer:
0.25 is the theoretical probability of landing on each of the four colors.
Explanation:
Spinner is spun 1 times as an experiment the spinner will stop at any one color out of four colors.
\( \frac {1} {4} \) = 0.25
the fraction is the probability value.

Use the table to answer the questions.
Express each probability as a fraction is simplest form.

A number cube has 1 face numbered 1, 2 faces numbered 2, and 3 faces numbered 3. The cube is tossed 100 times. The table shows the number of times each number is shown.

Question 6.
What is the experimental probability of the cube showing 1?
___________
Answer:
\( \frac {14} {100} \) = 0.14
0.14 is the experimental probability of the cube showing 1.
Explanation:
The cube is tossed 100 times as an experiment the cube shows 1 is 14 times,
as six faces and 1 is on one  side only.
\( \frac {14} {100} \) = 0.14
So, the fraction is the probability value.

Question 7.
What is the theoretical probability of the cube showing 1?
___________
Answer:
0.16 is the theoretical probability of cube showing 1.
Explanation:
If the cube is tossed 1 time, the cube shows 1.
As there are six faces of cube, 1 is written on one side only.
\( \frac {1} {6} \) = 0.16
So, the fraction is the probability value.

Question 8.
What is the experimental probability of the cube showing 2?
___________
Answer:
0.34 is the experimental probability of cube showing 2.
Explanation:
The cube is tossed 100 times as an experiment the cube shows 2 is 34 times.
As six faces and 2 is on two sides only.
\( \frac {34} {100} \) = 0.34
So, the fraction is the probability value.

Question 9.
What is the theoretical probability of the cube showing 2?
___________
Answer:
0.33 the theoretical probability of the cube showing 2.
Explanation:
If the cube is tossed 1 time, the cube shows 2.
As there are six faces of cube, 2 is written on two sides.
\( \frac {2} {6} \) = 0.33
So, the fraction is the probability value.

Question 10.
What is the experimental probability of the cube showing 3?
_______
Answer:
0.52 is the experimental probability of cube showing 3.
Explanation:
The cube is tossed 100 times as an experiment the cube shows 3 is 52 times.
As six faces and 3 is on three sides only.
\( \frac {52} {100} \) = 0.52
So, the fraction is the probability value.

Question 11.
What is the theoretical probability of the cube showing 3?
___________
Answer:
0.5 the theoretical probability of the cube showing 3.
Explanation:
If the cube is tossed 1 time, the cube shows 3.
As there are six faces of cube, 3 is written on three sides.
\( \frac {3} {6} \) = 0.5
So, the fraction is the probability value.

Use the table to answer the questions.
Express each probability as a decimal.

A bag contains 2 blue marbles, 3 red marbles, and 5 green marbles.
A marble is drawn from the bag, its color is noted and the marble is returned to the bag.
The table shows the results of drawing a marble 200 times.

Question 12.
What is the experimental probability of drawing a blue marble?
___________
Answer:
0.18 is the experimental probability of drawing a blue marble
Explanation:
Given information is :
A bag contains 2 blue marbles, 3 red marbles, and 5 green marbles.
so, total marbles are 2 + 3 + 5 = 10
If a  marble is drawn from the bag, a blue marble as an experiment,
A blue marble is 36 out of 200 out comes.
\( \frac {36} {200} \) = 0.18
So, the fraction is the probability value.

Question 13.
What is the theoretical probability of drawing a blue marble?
___________
Answer:
0.2 is the theoretical probability of drawing a blue marble.
Explanation:
Given information is :
A bag contains 2 blue marbles, 3 red marbles, and 5 green marbles.
so, total marbles are 2 + 3 + 5 = 10
If a  marble is drawn from the bag, its color is either blue, red or green
Theoretical probability of drawing blue marble is \( \frac {2} {10} \) = 0.2
So, the fraction is the probability value.

Question 14.
What is the experimental probability of drawing a red marble?
_______
Answer:
0.28 is the experimental probability of drawing a red marble
Explanation:
Drawing a red marble as an experiment,
drawing a red marble is 56 out of 200 out comes.
\( \frac {56} {200} \) = 0.28
So, the fraction is the probability value.

Question 15.
What is the theoretical probability of drawing a red marble?
___________
Answer:
0.3 the theoretical probability of drawing a red marble.
Explanation:
Given information is :
A bag contains 2 blue marbles, 3 red marbles, and 5 green marbles.
so, total marbles are 2 + 3 + 5 = 10
If a  marble is drawn from the bag, its color is either blue, red or green.
Theoretical probability of drawing red marble is \( \frac {3} {10} \) = 0.3
So, the fraction is the probability value.

Question 16.
What is the experimental probability of drawing a green marble?
___________
Answer:
0.54 is the experimental probability of drawing a green marble.
Explanation:
Drawing a green marble as an experiment,
drawing a green marble is 108 out of 200 out comes.
\( \frac {108} {200} \) = 0.54
So, the fraction is the probability value.

Question 17.
What is the theoretical probability of drawing a green marble?
___________
Answer:
0.5 the theoretical probability of drawing a green marble.
Explanation:
Given information is
A bag contains 2 blue marbles, 3 red marbles, and 5 green marbles.
so, total marbles are 2 + 3 + 5 = 10
If a  marble is drawn from the bag, its color is either blue, red or green
Theoretical probability of drawing green marble is \( \frac {5} {10} \) = 0.5
the fraction is the probability value

Complete.

A spinner is divided into 16 equal parts. Each part is colored green, yellow, or blue. The spinner is spun 25 times. The tally chart shows the number of times it lands on each color.

Question 18.
Which is the likely set of colors on the spinner, Set A, Set B, or Set C?
Set ___________

Answer:
Set C
Explanation:
green marble  \( \frac {2} {16} \) = 0.125
yellow marble \( \frac {6} {16} \) = 0.375
blue marble \( \frac {8} {16} \) = 0.5

Question 19.
What is the experimental probability of landing on green?
_______
Answer:
0.16 is is the experimental probability of landing on green.
Explanation:
Spinner is spun 25 times as an experiment as data shown in the above table,
the spinner will stop on green color 4 times out of 25 times experiment on three colors.
\( \frac {4} {25} \) = 0.16
So, the fraction is the probability value.

Question 20.
What is the experimental probability of landing on yellow?
_______
Answer:
0.36 is is the experimental probability of landing on yellow.
Explanation:
Spinner is spun 25 times as an experiment as data shown in the above table,
the spinner will stop on yellow color 9 times out of 25 times experiment on three colors.
\( \frac {9} {25} \) = 0.36
So, the fraction is the probability value.

Question 21.
What is the experimental probability of landing on blue?
_______
Answer:
0.48 is is the experimental probability of landing on blue.
Explanation:
Spinner is spun 25 times as an experiment as data shown in the above table,
the spinner will stop on blue color 12 times out of 25 times experiment on three colors.
\( \frac {12} {25} \) = 0.48
So, the fraction is the probability value.

This handy Math in Focus Grade 3 Workbook Answer Key Chapter 17 Practice 1 Understanding and Identifying Angles provides detailed solutions for the textbook questions.

Math in Focus Grade 3 Chapter 17 Practice 1 Answer Key Understanding and Identifying Angles

Name each figure as a point, line, or line segment.

Example

Question 1.

Answer:
Line segment XY
Explanation:
A line segment is a part of a line that is bounded by two distinct end points,
and contains every point on the line that is between its endpoints.

Question 2.

Answer:
Line PQ
Explanation:
A line has no end points.
A line segment has two endpoints.
A line segment connects both endpoints.
If the two lines cannot meet at any point, they are called parallel lines.

Question 3.

Answer:
Point T
Explanation:
A point is a location represented by a dot.
A point does not have any length, width, shape or size, it only has a position.
When two distinct points are connected they form a line.

Check (✓) the statements that are true.

Question 4.
A line segment is part of a line.
Answer: False
Explanation:
A line segment is a part of a line that is bounded by two distinct end points,
and contains every point on the line that is between its endpoints.

Question 5.
A point is an exact location in space.
Answer: True
Explanation:
A point is a location represented by a dot.
A point does not have any length, width, shape or size, it only has a position.
When two distinct points are connected they form a line.

Question 6.
A line has two endpoints.
Answer: False
Explanation:
A line has no end points.
A line segment has two endpoints.
A line segment connects both endpoints.
If the two lines cannot meet at any point, they are called parallel lines..

Check (✓) the box if an angle is shown.

Question 7.

Answer:

Explanation:
The above figure doesn’t contain any angle,
they are line segments.

Question 8.

Answer:

Explanation:
The above figure contain angle greater than right angle.
So, it is Obtuse angle.

Question 9.

Answer:

Explanation:
The above figure doesn’t contain any angle,
they are line segments.

Question 10.

Answer:

Explanation:
The above figure doesn’t contain any angle,
they are perpendicular line segments.

Question 11.

Answer:

Explanation:
The above figure contain angle less than right angle.
So, it is Acute angle.

Question 12.

Answer:

Explanation:
The above figure contain angle less than right angle.
So, it is Acute angle.

Mark two angles on each object.

Question 13.

Answer:

Explanation:
The above figure is in rectangular shape,
it has two angles, with 90 degrees.
So, the angles are right angle triangles.

Question 14.

Answer:

Explanation:
The above figure is in Octagon,
Octagon is a polygon in geometry, which has 8 sides and 8 angles.
That means the number of vertices is 8 and the number of edges is 8.
So, octagon is a 8-sided polygon and it is a two dimensional plane figure.
All the sides are joined with each other end-to-end to form a shape.

Question 15.

Answer:

Explanation:
The above figure is in Triangle.
A triangle has three corners,
3 angles sum to 180 degrees.

Question 16.

Answer:

Explanation:
The above figure is in rectangular shape,
it has two angles, with 90 degrees.
So, the angles are right angle triangles.

Question 17.

Answer:

Explanation:
The above figure book is in rectangular shape,
it has two angles, with 90 degrees.
So, the angles are right angle triangles.

Question 18.

Answer:

Explanation:
The above figure aquarium has 3 angles.

Mark two angles in each plane shape if possible.

Question 19.

Answer:

Explanation:
In the above figure expect circle all the figures have 2 angles,
as the circle does not contain any angles.

Complete the table. Mark all the angles in each plane shape.

Question 20.

Answer:

Explanation:
The above figure is Triangle.
A triangle has three sides,
3 angles sum to 180 degrees.

Question 21.

Answer:

Explanation:
A pentagon is a five-sided polygon with five straight sides and five interior angles that sum up to 540°540°.
A pentagon shape is a plane figure, or flat (two-dimensional) 5-sided geometric shape.

Question 22.

Answer:

Explanation:
The above figure is in Octagon,
Octagon is a polygon in geometry, which has 8 sides and 8 angles.
That means the number of vertices is 8 and the number of edges is 8.
So, octagon is a 8-sided polygon and it is a two dimensional plane figure.
All the sides are joined with each other end-to-end to form a shape.

Question 23.

Answer:

Explanation:
In geometry, a hexagon can be defined as a polygon with six sides.
The two-dimensional shape has 6 sides, 6 vertices and 6 angles.

Question 24.

Answer:

Explanation:
A polygon with 10 sides and 10 angles and 10 vertices is called as Decagon.

Draw four different plane shapes. Write the number of sides and angles in each shape.

Question 25.

___________ sides _________ angles
Answer:

Triangle
3 sides
3 angles
Explanation:
The above figure is Triangle.
A triangle has three sides,
3 angles sum to 180 degrees.

Question 26.

___________ sides _________ angles
Answer:

Rectangle
4 sides
4 angles
Explanation:
The above figure is in rectangular shape,
it has four sides and four angles, with 90 degrees.
And the angles are right angle triangles.

Question 27.

___________ sides _________ angles
Answer:

Square
4 sides
4 angles
Explanation:
A Square is a regular quadrilateral,
which has all the four sides of equal length and,
all four angles. with right angle triangles.

Question 28.

___________ sides _________ angles
Answer:

Quadrilateral
4 sides
4 angles
Explanation:
In geometry, a quadrilateral is defined as a closed two-dimensional shape which has four straight sides .
The polygon has four vertices or corners.
It has four angles.

Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 3 Practice 2 Subtracting Unlike Fractions to finish your assignments.

Math in Focus Grade 5 Chapter 3 Practice 2 Answer Key Subtracting Unlike Fractions

Rewrite the fractions as like fractions and complete the subtraction sentence.

Example

Rewrite the fractions as like fractions and complete the subtraction sentence.

Question 1.

Answer:

Subtract. Express each difference in simplest form.

Question 2.
\(\frac{7}{12}\) – \(\frac{2}{4}\) =
Answer:

Question 3.
\(\frac{4}{5}\) – \(\frac{1}{3}\) =
Answer:

Question 4.
1 – \(\frac{5}{6}\) – \(\frac{1}{12}\) =
Answer:

Question 5.
\(\frac{7}{9}\) – \(\frac{1}{6}\) =
Answer:

Use benchmarks to estimate each difference.

Example

Question 6.

Answer:

Question 7.

Answer:

Go through the Math in Focus Grade 2 Workbook Answer Key Cumulative Review Chapters 1 to 4 to finish your assignments.

Math in Focus Grade 2 Cumulative Review Chapters 1 to 4 Answer Key

Concepts and Skills

Write in standard form.

Question 1.
Seven hundred sixteen _______
Answer:
716.

Explanation:
The standard form of Seven hundred sixteen is 716.

Question 2.
Four hundred five _______
Answer:
405.

Explanation:
The standard form of Four hundred five is 405.

Count on or count back. Find the missing numbers.

Question 3.
820, 810, 800, ___, ___, ____
Answer:
820, 810, 800, 790, 780, 760.

Explanation:
The missing numbers are 820, 810, 800, 790, 780, 760. As we can see the countback is reduced to 10.

Question 4.
600, 700, 800, ___, _____
Answer:
600, 700, 800, 900, 1000.

Explanation:
The missing numbers are 600, 700, 800, 900, 1000. As we can see the count on adds 100.

Question 5.
500, 400, 300, ___, ___, ____
Answer:
500, 400, 300, 200, 100.

Explanation:
The missing numbers are 500, 400, 300, 200, 100. As we can see the countback is reduced to 100.

Find the missing numbers.

Question 6.
In 632, the digit ____ is in the tens place.
Answer:
3.

Explanation:
Here, in the number 632, the digit 3 is in the tens place.

Question 7.
In 591, the digit 5 is in the ____ place.
Answer:
Hundreds place.

Explanation:
Here, in the number 591, the digit 5 is in the hundreds place.

Question 8.
743 = 700 + ___ + 3
Answer:
40.

Explanation:
The expanded form of 743 is 700+40+3, so the missing digit is 40.

Question 9.
200 and 2 make ___
Answer:
202.

Explanation:
Here, 200 and 2 make 202.

Write > or <.

Question 10.
235 325
Answer:
235 < 325.

Explanation:
In the above, we can see that 235 is less than 325.
235325

Question 11.
891 889
Answer:
891 > 889.

Explanation:
In the above, we can see that 891 is greater than 889.
891 889

Order the numbers from least to greatest.

Question 12.

Answer:
106, 690, 699, 815.

Explanation:
In the above, the numbers from least to greatest are 106, 690, 699, 815.

Find the missing numbers.

Question 13.

Answer:
893, 923.

Explanation:
As we can see the numbers are adding 10 to the next numbers in the number line. The number line will be 873, 883, 893, 903, 913, 923, 933, 943.  So the missing numbers are 893, 923.

Fill in the blanks.

Question 14.
1 more than 638 is ___
Answer:
1 more than 638 is 639.

Explanation:
Here, 1 more than 638 is 638+1 which is 639.

Question 15.
10 less than 286 is ___
Answer:
10 less than 286 is 276.

Explanation:
Here, 10 less than 286 is 286-10 which is 276.

Question 16.
100 more than 899 is ____
Answer:
100 more than 899 is 999.

Explanation:
Here, 100 more than 899 is 899+100 which is 999.

Question 17.
____ is 1 less than 360.
Answer:
359 is 1 less than 360.

Explanation:
Here, 1 less than 360 is 360-1 which is 359.

Question 18.
____ is 10 more than 890.
Answer:
900 is 10 more than 890.

Explanation:
Here, 10 more than 890 is 890+10 which is 900.

Question 19.
___ is 100 less than 1,000.
Answer:
900 is 100 less than 1,000.

Explanation:
Here, 100 less than 1,000 is 1,000-100 which is 900.

Complete each pattern.

Question 20.
240, 220, ___, ___, 160, ____, ____.
Answer:
240, 220, 200, 180, 160, 140, 120.

Explanation:
In the above, we can see that the pattern is 20 is less than countback. So the pattern is 240, 220, 200, 180, 160, 140, 120.

Question 21.
350, 390, 430, __, ___, ___, ____
Answer:
350, 390, 430, 470, 510, 550, 590.

Explanation:
In the above, we can see that the pattern is 40 is greater than the count on. So the pattern is 350, 390, 430, 470, 510, 550, 590.

Question 22.
___, ___, 454, 354, 254, __, ____
Answer:
654, 554, 454, 354, 254, 154, 54.

Explanation:
In the above, the pattern is 654, 554, 454, 354, 254, 154, 54. Here the numbers are less than 100.

Add.

Question 23.

Answer:
257+42 = 299.

Explanation:
The addition of 257 and 42 is 299.

Question 24.

Answer:
234+713 = 947.

Explanation:
The addition of 234 and 713 is 947.

Question 25.

Answer:
708+36 = 744.

Explanation:
The addition of 708 and 36 is 744.

Question 26.

Answer:
256+138 = 394.

Explanation:
The addition of 256 and 138 is 394.

Question 27.

Answer:
651+286 = 937.

Explanation:
The addition of 651 and 286 is 937.

Question 28.

Answer:
657+185 = 842.

Explanation:
The addition of 657 and 185 is 842.

Subtract.

Check by adding.

Question 29.

Answer:
759-42 = 717
717+42 = 759.

Explanation:
The subtraction of 759 and 42 is 717. So to check that the answer is correct we will add the result with subtrahend. So 717+42 is 759.

Question 30.

Answer:
368-214 = 154,
154+214 = 368.

Explanation:
The subtraction of 368 and 214 is 154. So to check that the answer is correct we will add the result with subtrahend. So 154+214 is 368.

Question 31.

Answer:
541-238 = 303,
303+238 = 541.

Explanation:
The subtraction of 541 and 238 is 303. So to check that the answer is correct we will add the result with subtrahend. So 303+238 is 541.

Question 32.

Answer:
427-134 = 293,
293+134 = 427.

Explanation:
The subtraction of 427 and 134 is 293. So to check that the answer is correct we will add the result with subtrahend. So 293+134 is 427.

Question 33.

Answer:
831-698 = 133,
133+698 = 831.

Explanation:
The subtraction of 831 and 698 is 133. So to check that the answer is correct we will add the result with subtrahend. So 133+698 is 831.

Question 34.

Answer:
200-48 = 152,
152+48 = 200.

Explanation:
The subtraction of 200 and 48 is 152. So to check that the answer is correct we will add the result with subtrahend. So 152+48 is 200.

Subtract.
Check by adding.

Question 37.

Answer:
510-385 = 125,
125+385 = 510.

Explanation:
The subtraction of 510 and 385 is 125. So to check that the answer is correct we will add the result with subtrahend. So 125+385 is 510.

Question 38.

Answer:
408-219 = 189,
189+219 = 408.

Explanation:
The subtraction of 408 and 219 is 189. So to check that the answer is correct we will add the result with subtrahend. So 189+219 is 408.

Find the missing numbers.

Question 39.

Answer:
The missing number is 9.

Explanation:
Here, we have a minuend of 256 and the difference is 162. So to find the missing number we will subtract the minuend with the product and 256-162 which is 94, so the missing number is 9.

Question 40.

Answer:
The missing number is 5.

Explanation:
Here, we have an addend as 399 and the sum is 907. So to find the missing number we will subtract the sum with the addend and 907-399 which is 508, so the missing number is 5.

Problem Solving

Solve.

Draw bar models to help you.

Check your answers.

Question 41.
Manuel drives 215 miles on Monday. He drives 685 miles on Tuesday. How many miles does he drive in all?

He drives _________ miles in all.
Answer:
He drives 900 miles in all.

Explanation:
Given that Manuel drives 215 miles on Monday and he drives 685 miles on Tuesday. So the number of miles does he drive in all is 215+685 which is 900 miles.

Question 42.
Mrs. King has $200 in the bank. She spends $45. How much does she have left?
She has $___ left.
Answer:
She has $155 left.

Explanation:
Given that Mrs. King has $200 in the bank and she spends $45. So the money left with Mrs. King is $200 – $45 = $155.

Solve.
Draw bar models to help you.
Check your answers.

Question 43.
Jeremy has 30 black beads. He has 50 more red beads than black beads. How many red beads does he have?
He has ___ red beads.
Answer:
He has 80 red beads.

Explanation:
Given that Jeremy has 30 black beads and he has 50 more red beads than black beads. So the red beads does he have is 30+50 which is 80 red beads.

Question 44.
There are 356 sheep on a farm. There are 100 fewer cows than sheep. How many cows are there?
There are ____ cows.
Answer:
There are 256 cows.

Explanation:
Given that there are 356 sheep on a farm and there are 100 fewer cows than sheep. So the number of cows are there on the farm is 356-100 which is 256 cows.

Question 45.
Mike has 515 stickers in his album. Shateel has 488 stickers in his. Who has more stickers? How many more stickers?
___ has more stickers.
___ more stickers.
Answer:
Mike has more stickers.
27 more stickers.

Explanation:
Given that Mike has 515 stickers in his album and Shateel has 488 stickers in his. So the number of more stickers are 515-488 which is 27 stickers Mike has more.

Solve.

Draw bar models to help you.

Check your answers.

Question 46.
Nick scores 715 points in a game. He scores 100 fewer points than his sister. How many points does his sister score?
His sister scores ___ points.
Answer:
His sister scores 615 points.

Explanation:
Given that Nick scores 715 points in a game and he scores 100 fewer points than his sister. So the number of points does his sister score is 715-100 which is 615 points.

Question 47.
Beth reads for 60 minutes in the morning. She reads for 42 minutes at night. How many minutes does she read in all?

Beth reads for ___ minutes in all.
Answer:
Beth reads for 42 minutes in all.

Explanation:
Given that Beth reads for 60 minutes in the morning and she reads for 42 minutes at night. So the number of minutes does she read in all is 60+42 which is 102 minutes.

Solve. Draw bar models to help you. Check your answers.

Question 48.
339 passengers are on a train. 196 of them are children. The others are adults. How many adults are on the train?

There are ___ adults on the train.
Answer:
There are 143 adults on the train.

Explanation:
Given that there are 339 passengers are on a train and 196 of them are children and the others are adults. So the number of adults are on the train is 339-196 which is 143 adults.

Question 49.
The Hat Store sold 265 caps last week. It sold 97 fewer caps this week.

a. How many caps did the Hat Store sell this week?

b. How many caps did the Hat Store sell for the two weeks?

a. The Hat Store sold ___ caps this week.

b. The Hat Store sold ___ caps for the two weeks.

Answer:
The Hat Store sold 168 caps this week.
The Hat Store sold 336 caps for the two weeks.

Explanation:
Given that the hat store sold 265 caps last week and it sold 97 fewer caps this week. So the number of caps did the hat store sell this week is 265-97 which is 168 hats. So the hat store sold 168 caps this week. For two weeks the hat store sold 168×2 which is 336 caps.

Solve.
Draw bar models to help you.
Check your answers.

Question 50.
The theater sold 343 tickets on Friday. This is 192 fewer tickets than those sold on Saturday. How many tickets were sold altogether?

____ tickets were sold altogether.
Answer:
494 tickets were sold altogether.

Explanation:
Given that the theater sold 343 tickets on Friday and 192 fewer tickets than those sold on Saturday which is 343-192= 151. So the number of tickets were sold altogether is 343+151 which is 494 tickets.

Question 51.
365 people watch a show on Monday. 78 more people watch the show on Tuesday. 105 more people watch the show on Tuesday than on Wednesday. How many people watch the show on Wednesday?
___ people watch the show on Wednesday.
Answer:
548 people watch the show on Wednesday.

Explanation:
Given that 365 people watch a show on Monday and 78 more people watch the show on Tuesday which is 365+78 = 443 people, and 105 more people watch the show on Tuesday than on Wednesday which is 443+105 = 548 people.

Go through the Math in Focus Grade 2 Workbook Answer Key Chapter 1 Practice 4 Order and Pattern to finish your assignments.

Math in Focus Grade 2 Chapter 1 Practice 4 Answer Key Order and Pattern

Use the place-value chart to help you.

Question 1.

Answer:

Explanation:
First compare the hundreds
if hundreds are same
we have to compare tens
if tens also same then we have to compare the ones.

Question 2.

Answer:

Explanation:
First compare the hundreds
if hundreds are same
we have to compare tens
if tens also same then we have to compare the ones.

Question 3.

Answer:

Explanation:
First compare the hundreds
if hundreds are same
we have to compare tens
if tens also same then we have to compare the ones.

Question 4.
Order the numbers from least to greatest.

Answer:

Explanation:
First compare the hundreds
if hundreds are same
we have to compare tens
if tens also same then we have to compare the ones.

Question 5.
Order the numbers from greatest to least.

Answer:
First compare the hundreds
if hundreds are same
we have to compare tens
if tens also same then we have to compare the ones.

Find the missing numbers.

Question 6.
1 more than 205 is ____
Answer:
1 more than 205 is 206
Explanation:
we have to add 1 in ones place
205 + 1 = 206

Question 7.
____ is 2 less than 557.
Answer:
555 is 2 less than 557.
Explanation:
we have to subtract 2 in ones place
557 – 2 = 555

Question 8.
10 more than 235 is ___
Answer:
10 more than 235 is 245
Explanation:
we have to add 10 to 235
235 + 10 = 245

Question 9.
10 less than 455 is ___
Answer:
10 less than 455 is 445
Explanation:
we have to subtract 10 from 455
455 – 10 = 445

Question 10.
100 less than 347 is ___
Answer:
100 less than 347 is 247
Explanation:
we have to subtract 100 from 347
347 – 100 = 247

Question 11.
____ is 200 more than 145.
Answer:
345 is 200 more than 145.
Explanation:
we have to add 200 for 145
200 + 145 = 345

What is the missing number?

Question 12.

Answer:

Explanation:
In this pattern we are adding 20 to every number

Find the missing numbers.

Question 13.

Answer:

Explanation:
In this pattern we are subtracting 1 from ones place

Question 14.

Answer:

Explanation:
In this pattern we are adding 100 to every number
+100

Question 15.

Answer:

Explanation:
In this pattern we are adding 1 in ones place
+1

Question 16.

Answer:

Explanation:
In this pattern we are adding 100 to every number
+100

Question 17.

Answer:

Explanation:
In this pattern we are adding 10 for every number
+10

Question 18.

Answer:

Explanation:
In this pattern we are adding 50 for every number
+50