Students can use the Spectrum Math Grade 3 Answer Key Chapters 1-10 Final Test as a quick guide to resolve any of their doubts.
Spectrum Math Grade 3 Chapters 1-10 Final Test Answers Key
Add or Subtract.
Question 1.
a.
Answer:
Given numbers are 9 and 4 .
When both are added it generates the result 13 as shown Below.
b.
Answer:
Given numbers are 3 and 19 .
When both are added by placing carry present and obtain the result 22 as shown Below.
c.
Answer:
Given numbers are 21 and 42 .
When both are added it generates the result as 63 as shown Below.
d.
Answer:
Given numbers are 67 and 29 .
When both are added it generates the result as 96 as shown Below.
e.
Answer:
Given numbers are 57 and 4 .
When both are added by placing the carry above 5 tens and get the result as 61 as shown Below.
Question 2.
a.
Answer:
Given numbers are 319, 23 and 152.
When both are added by placing the carry above 1 tens and get the result as 484 as shown Below.
b.
Answer:
Given numbers are 59, 63 and 142.
When both are added by placing the carry above 5 tens , 1 hundred and get the result as 264 as shown Below.
c.
Answer:
Given numbers are 57, 59 and 63.
When both are added by placing the carry above 5 tens and get the result as 179 as shown Below.
d.
Answer:
Given numbers are 403 and 907.
When both are added by placing the carry above 0 tens and get the result as 1310 as shown Below.
e.
Answer:
Given numbers are 500 and 320.
When both are added the result as 820 as shown Below.
Question 3.
a.
Answer:
Given numbers are 23 and 11.
When 11 is subtracted from the number 23 and get the result as 12 as shown Below.
b.
Answer:
Given numbers are 54 and 19.
When 19 is subtracted from the number 54 and get the result as 35 as shown Below.
c.
Answer:
Given numbers are 316 and 23 .
When 23 is subtracted from the number 316 and get the result as 293 as shown Below.
d.
Answer:
Given numbers are 594 and 95 .
When 95 is subtracted from the number 594 and get the result as 499 as shown Below.
e.
Answer:
Given numbers are 419 and 21.
When 21 is subtracted from the number 419 and get the result as 398 as shown Below.
Question 4.
a.
Answer:
Given numbers are 113 and 82.
When 92 is subtracted from the number 113 and get the result as 21 as shown Below.
b.
Answer:
Given numbers are 54 and 13 .
When 13 is subtracted from the number 53Â and get the result as 41 as shown Below.
c.
Answer:
Given numbers are 8 and 7 .
When 7 is subtracted from the number 8 and get the result as 1 as shown Below.
d.
Answer:
Given numbers are 46 and 32 .
When 32 is subtracted from the number 46 and get the result as 14 as shown Below.
e.
Answer:
Given numbers are 511 and 21 .
When 21 is subtracted from the number 511 and get the result as 490 as shown Below.
Question 5.
a.
Answer:
Given numbers are 1321 and 4923 .
When both are added by placing the carry above 1 thousand and get the result as 6244 shown Below.
b.
Answer:
Given numbers are 6876 and 192 .
When both are added by placing the carries above the 6 thousand ,8 hundred and get the result 7068 as shown Below.
c.
Answer:
Given numbers are 1321 and 4923.
When both are added by placing the carry above the 5 hundred and get the result 1503 as shown Below.
d.
Answer:
Given numbers are 5921 and 2543.
When both are added by placing the carry above the 5 thousand and get the result 8464 as shown Below.
e.
Answer:
Given numbers are 3864 and 193.
When both are added by placing the carries above the 3 thousand , 8 hundred and get the result 4047 as shown Below.
Question 6.
a.
Answer:
Given numbers are 4321 and 491 .
When 491 is subtracted from the number 4321 by using the borrowing process and get the result as 3830 as shown Below.
b.
Answer:
Given numbers are 5963 and 1892 .
When 1892 is subtracted from the number 5963 by using the borrowing process and get the result as 4071 as shown Below.
c.
Answer:
Given numbers are 9876 and 7293 .
When 7293 is subtracted from the number 9876 by using the borrowing process and get the result 2583 as shown Below.
d.
Answer:
Given numbers are 5434 and 502.
When 502 is subtracted from the number 5434 by using the borrowing process and get the result as 4932 as shown Below.
e.
Answer:
Given numbers are 4732 and 1693 .
When 1693 is subtracted from the number 4732 by using the borrowing process and get the result as 3039 as shown Below.
Solve each problem.
Question 7.
In 1984, Mr. Alvin was 103 years old. What year was he born?
Mr. Alvin was born in ____________.
Answer:
Number of years for Alvin = 103
The Year in which Alvin was born = 1984 – Age of Alvin
= 1984 – 103
= 1881
Therefore, Alvin was born in the Year 1881.
Question 8.
Sandy spent 14 dollars of her 38 dollars on a radio. How much money does she have left?
Sandy has _____________ dollars left.
Answer:
Number of dollars sandy contains = 38
Number of dollars spent on Radio = 14
Remaining dollars = Total dollars – Amount of dollars spent = 38 – 14 = 24 dollars.
Therefore Sandy has 24 dollars left with her.
Round each number to the place named.
Question 9.
a. 4,932
tens
Answer:
In the given number the number 3 which is in the tens place is below 5, So, it is rounded downwards to the number.
4,930
b. 7,348
hundreds
Answer:
In the given number the number 3 which is in the hundreds place is below 5. So, place the remaining digits as Zeros which are right to the number 3.
7300
c. 596
hundreds
Answer:
In the given number the number 9 which is in the hundreds place is above 5. So, place the all zeros by adding 1 to the number in the hundreds place.
600
Multiply or divide.
Question 10.
a.
Answer:
Given numbers 3 and 4.
when 3 and 4 are multiplied the result obtained is 12 as shown below.
b.
Answer:
Given numbers are 50 and 5 .
when 50 and 5 are multiplied the result obtained is 250 as shown below.
c.
Answer:
Given numbers are 40 and 3 .
when 3 and 4 are multiplied the result obtained is 12 as shown below.
d.
Answer:
Given numbers are 7 and 8 .
when 7 and 8 are multiplied the result obtained is 56 as shown below.
e.
Answer:
Given numbers are 60 and 2 .
when 60 and 2 are multiplied the result obtained is 120 as shown below.
Question 11.
a.
Answer:
Given numbers are 50 and 3 .
when 50 and 3 are multiplied the result obtained is 150 as shown below.
b.
Answer:
Given numbers are 90 and 1 .
when 90 and 1 are multiplied the result obtained is 90 as shown below.
c.
Answer:
Given numbers are 10 and 5 .
when 10 and 5 are multiplied the result obtained is 50 as shown below.
d.
Answer:
Given numbers are 4 and 5 .
when 4 and 5 are multiplied the result obtained is 20 as shown below.
e.
Answer:
Given numbers are 60 and 3 .
when 60 and 3 are multiplied the result obtained is 180 as shown below.
Question 12.
a.
Answer:
We can write the above expression as (64)1/8
= (82)1/8
= (23)2/8
= (2)6/8
= (2)3/4
b.
Answer:
= (24)1/6
=(4.6)1/6
= (4)1/6 .(6)1/6
c.
Answer:
= (54)1/9
= (6.9)1/9
= (6)1/9.(9)1/9
d.
Answer:
= (12)1/4
= (4.3)1/4
= (4)1/4 . (3)1/4
= (22)1/4 . (3)1/4
= (2)1/2 . (3)1/4
e.
Answer:
(5)1/5
Question 13.
a.
Answer:
= (21)1/7
= (7 x 3)1/7
= (7)1/7 . (3)1/7
b.
Answer:
= (20)1/4
= (4 x 5)1/4
= (4)1/4 . (5)1/4
= (22)1/4 . (5)1/4
= (2)1/2 . (5)1/4
c.
Answer:
= (6)1/3
d.
Answer:
= (18)1/6
=(6.3)1/6
= (6)1/6 .(3)1/6
e.
Answer:
= (10)1/2
= (2.5)1/2
= (2)1/2 . (5)1/2
Solve each problem.
Question 14.
There are 20 students in the classroom. Each math student receives 7 papers. How many total papers are there?
There are a total of _____________ papers.
Answer:
Number of students in the classroom = 20
Number of papers received by Each student = 7
Total number of papers present = ?
= 20 x 7
= 140
Therefore, there are a total of 140 papers.
Question 15.
There are 64 seats in the movie theater. There are 8 rows. If the same number of seats are in each row, how many seats are in each row?
There are _____________ seats in each row.
Answer:
Number of seats in the movie theater = 64
Number of rows in the theater = 8
From the given data number of seats in each row is the same i.e. we have 64/8 = 8
Therefore, there are 8 seats in each row.
What fraction of each figure or set is shaded?
Question 16.
a.
Answer:
shaded part is = 3
Overall Number of parts = 4
Therefore, the fraction part in the given Square = 3 / 4
b.
Answer:
shaded part is = 1
Overall Number of parts = 2
Therefore, the fraction part in the given Circle = 1 / 2
c.
Answer:
shaded circles are = 5
Overall Number of circles = 8
Therefore, the fraction part for the given circles = 5 / 8
d.
Answer:
shaded Squares  = 1
Overall Number of Squares = 8
Therefore, the fraction part in the given Squares = 1 / 8
What fraction of each figure is shaded? Compare the fractions. Use >, <, or = .
Question 17.
a.
Answer:
Take the shaded parts, non-shaded parts from the given diagram. Then, write the fraction and utilize the Less than symbol.
b.
Answer:
Take the shaded parts, and non-shaded parts from the given diagram. Then, write the fraction and utilize the Equality symbol (since both are equal).
c.
Answer:
Take the shaded parts and non-shaded parts from the given diagram. Then, write the fraction and utilize the Less than a symbol.
Question 18.
a.
Answer:
Take the shaded parts and non-shaded parts from the given diagram. Then, write the fraction and utilize the Less than a symbol.
b.
Answer:
Take the shaded parts, and non-shaded parts from the given diagram. Then, write the fraction and utilize the Greater than symbol.
c.
Answer:
Take the shaded parts and non-shaded parts from the given diagram. Then, write the fraction and utilize the Equality symbol.
Label the fractions on the number line.
Question 19.
Answer:
Mark the point and circle it and indicate the given Fraction number 3 / 4 number on the Number Line as shown Below.
Question 20.
Answer:
Mark the point and circle it and indicate the given Fraction number 2 / 3 number on the Number Line as shown Below.
Complete the fractions.
Question 21.
Answer:
shaded pars are  = 4
Overall Number of parts = 4
Therefore, the fraction part in the given square = 4 / 4
Question 22.
Answer:
shaded part are = 3
Overall Number of parts =3
Therefore, the fraction part in the given Circle = 3/3
Choose an answer.
Question 23.
a. About how much does a baby weigh?
a. 8 ounces
b. 8 pounds
c. 8 gallons
Answer:
A baby weight is calculated in pounds.so, the answer is 8 pounds.
b. About how much milk does a jug hold?
a. 1 gram
b. 1 gallon
c. 1 kilogram
Answer:
A Milk jug is calculated in gallons. so, the answer is 1 gallon.
Solve each problem.
Question 24.
Baby Ginny weighs 9 pounds. Baby Tyler weighs 13 pounds. How much do the babies weigh altogether?
The babies weigh ______________ pounds altogether.
Answer:
Weight of Baby Ginny = 9 pounds
Weight of Baby Tyler = 13 pounds
Both the Babies weight = 9 + 13 = 22 pounds.
Therefore, The babies weigh 22 pounds altogether.
Find the area of each figure.
Question 25.
a.
A = ______________ sq. units
Answer:
No. of sides in a Given Square = 9
Generally, Area of the Square is calculated using the formula (A) =Â side x side
= 9 x 9
= 81 Sq. units.
b.
A = ______________ sq. units
Answer:
Width of rectangle = 7
Length of rectangle = 2
Area of Rectangle of Rectangle = Width x Length
= 7 x 2
= 14 Sq. units.
c.
A = ______________ sq. units
Answer:
Given figure is an irregular figure
The figure can be spilt into 2 squares and one rectangle. Thus, we will add the area of squares and rectangle based on their lengths
A = 2 x 2 + 2 x 2 + 5 x 2
= 4 + 4 + 10
= 18 sq units
Therefore, the irregular figure has an area of 18 sq units.
Solve.
Question 26.
Roxanne is fencing a garden. Two sides of the garden are 18 feet, and the other two are 12 feet. How many feet of fencing will Roxanne need?
Roxanne will need _____________ feet of fencing.
Answer:
Two sides of the garden = 18 feet
Remaining sides other two = 12 feet
The number of feet of fencing That Roxanne needs = ?
= 18 – 12
= 6
Therefore Roxanne needs 6 feet of fencing.
Complete the bar graph.
Question 27.
Answer:
Take the Numbers on X-axis, Animals on the y-axis then draw the graph with the given data as shown below.
Complete the following.
Question 28.
a. 7:42 means ____________ minutes after _____________.
Answer:
7:42 means 42 minutes after 7 hours
b. 7:42 means ____________ minutes to ______________.
Answer:
7:42 means 18 minutes to 8:00
Write the time to the nearest hour, half hour, quarter hour, or minute as indicated.
Question 29.
a. hour
_______ : _________
Answer:
Given time on the clock is 3:16 mins
As the clock time of 16 mins is less than 30 mins we will round down to the current hour
Thus, 3:16 mins rounded to the nearest hour is 3 hours.
b. half hour
_______ : _________
Answer:
Given clock time is 3:16 mins
Here the time in minutes hand is 16 and it falls between 15-30 so we will replace the minutes with 30. Thus, the overall clock time rounded to the nearest half hour is 3:30 mins
c. quarter hour
_______ : _________
Answer:
Given clock time is 3:16 mins
As the time in minutes, hand 16 is between 8-22 we shall round to the nearest 15 mins
Thus 3:16 mins rounded to the nearest quarter hour is 3:15 mins
d. minute
_______ : _________
Answer:
Given clock time = 3:16:00 mins
As the second’s hand is 00 < 30 we shall round down the minutes and keep it the same
therefore, 3:16 mins rounded to minutes is 3:16
Use this picture graph to answer the following questions.
Question 30.
How many students flipped heads?
Answer:
Number of students flipped heads = 9
Question 31.
How many students flipped tails?
Answer:
Number of students flipped tails = 8
Use this bar graph to answer the following questions.
Question 32.
Which pet did most students choose?
Answer:
From the above-given Graph, most of the Students selected the Dog.
Question 33.
Which pet did the fewest students choose?
Answer:
As per the Given data, students Selected a pet Rabbit fewer.
Name each figure. Label each as solid or plane.
Question 34.
a.
Answer:
The given figure is a Universal circle shape containing huge sense and also a type of shape that doesn’t contain any corners or edges
b.
Answer:
It is a sphere having a single similar face where the edges and vertices are absent.
c.
Answer:
The given figure is a cuboid having 12 edges, and 8 vertices. A cuboid contains rectangular faces
d.
Answer:
It is a Cylinder where the vertices are absent like spheres and contains 3 faces and 2 edges to it.
Name each four-sided figure.
Question 35.
a.
Answer:
It is a Quadrilateral having the four vertices and 4 sides. Basically, They are of six types.
b.
Answer:
It is a Square shape having four equal sides and vertices at an angle of 90 degrees. A Square is also a basic Quadrilateral.
c.
Answer:
The given shape is a Rectangle which is a kind of Quadrilateral and often called an Equiangular Quadrilateral. Its Area is Calculated by multiplying the Length and Width.
d.
Answer:
The Given Figure is a Rhombus having four sides and 4 Edges. It is a kind of Quadrilateral having uniform sides.
Divide each shape into the given fractional parts. Then, label each piece with an appropriate fraction.
Question 36.
a. halves
Answer:
Simply Divide the given Circle into Equal amounts of halves with Equal parts. Then, Label each part with the fraction as 1/2 and 1/2 as shown below.
b. fourths
Answer:
Simply Divide the given Square into an Equal amounts of four halves with Equal parts. Then, Label each part with the fraction as 1/4, 1/4, 1/4, and 1/4 as shown below.
c. thirds
Answer:
Simply Divide the given Rectangle into Equal amount of three halves with Equal parts. Then, Label each part with the fraction as 1/3, 1/3 and 1/3 as shown below.
Complete the patterns.
Question 37.
a. 20Â Â 25Â Â Â 30Â Â Â
Answer:
Generate the pattern 20 25 30 by using the simple Subtraction with the given numbers by adding 5 for the given series up to the number 40 which is as shown below.
b. 13Â Â 11Â Â Â Â 9Â Â Â
Answer:
Generate the pattern 13 11 9 by using the simple Subtraction with the given numbers by Subtracting 2 for the given series up to the number 5 which is as shown below.
Complete the following.
Question 38.
a. 3 + 0 = _____________
Answer:
Try to implement the Addition identity as shown below
3+ 0 = 3 . When 3 and zero are added , the result is 3.
b. 5 × 1 = _____________
Answer:
Try to implement the Multiplication identity as shown below
5 x 1 = 5. When 5 and 1 are Multiplied , the result is 5.
c. 5 + 3 = _____________
Answer:
When 5 and 3 are added = 8
Therefore 5 + 3 = 8
d. 7 × 2 = 2 × ___________
Answer:
Try to implement the Commutative Multiplication property as shown below
7 × 2 = 2 × 7
Write the number sentence. For the missing part, use a box (). Solve each number sentence.
Question 39.
The product of five and two is what number? ______________
The product of five and two is ______________.
Answer:
Given numbers are 5 and 2
When both are multiplied =?
= 5 x 2 = 10
Therefore the product of 5 and 2 is 10.