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 53 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}

= (8^{2})^{1/8}

= (2^{3})^{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}

= (2^{2})^{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}

= (2^{2})^{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) = 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. 20 25 30

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. 13 11 9

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.