## Engage NY Eureka Math 3rd Grade Module 7 Lesson 31 Answer Key

### Eureka Math Grade 3 Module 7 Lesson 31 Sprint Answer Key

A
Multiply or Divide by 9

Question 1.
2 × 9 =
2 × 9 = 18.

Question 2.
3 × 9 =
3 × 9 = 27.

Question 3.
4 × 9 =
4 × 9 = 36.

Question 4.
5 × 9 =
5 × 9 = 45.

Question 5.
1 × 9 =
1 × 9 = 9.

Question 6.
18 ÷ 9 =
18 ÷ 9 = 2.

Question 7.
27 ÷ 9 =
27 ÷ 9 = 3.

Question 8.
45 ÷ 9 =
45 ÷ 9 = 5.

Question 9.
9 ÷ 9 =
9 ÷ 9 = 1.

Question 10.
36 ÷ 9 =
36 ÷ 9 = 4.

Question 11.
6 × 9 =
6 × 9 = 54.

Question 12.
7 × 9 =
7 × 9 = 63.

Question 13.
8 × 9 =
8 × 9 = 72.

Question 14.
9 × 9 =
9 × 9 = 81.

Question 15.
10 × 9 =
10 × 9 = 90.

Question 16.
72 ÷ 9 =
72 ÷ 9 = 8.

Question 17.
63 ÷ 9 =
63 ÷ 9 = 7.

Question 18.
81 ÷ 9 =
81 ÷ 9 = 9.

Question 19.
54 ÷ 9 =
54 ÷ 9 = 6.

Question 20.
90 ÷ 9 =
90 ÷ 9 = 10.

Question 21.
___ × 9 = 45
5 × 9 = 45.

Question 22.
___ × 9 = 9
1 × 9 = 9.

Question 23.
___ × 9 = 90
10 × 9 = 90.

Question 24.
___ × 9 = 18
2 × 9 = 18.

Question 25.
___ × 9 = 27
3 × 9 = 27.

Question 26.
90 ÷ 9 =
90 ÷ 9 = 10.

Question 27.
45 ÷ 9 =
45 ÷ 9 = 5.

Question 28.
9 ÷ 9 =
9 ÷ 9 = 1.

Question 29.
18 ÷ 9 =
18 ÷ 9 = 2.

Question 30.
27 ÷ 9 =
27 ÷ 9 = 3.

Question 31.
___ × 9 = 54
6 × 9 = 54.

Question 32.
___ × 9 = 63
7 × 9 = 63.

Question 33.
___ × 9 = 81
9 × 9 = 81.

Question 34.
___ × 9 = 72
8 × 9 = 72.

Question 35.
63 ÷ 9 =
63 ÷ 9 = 7.

Question 36.
81 ÷ 9 =
81 ÷ 9 = 9.

Question 37.
54 ÷ 9 =
54 ÷ 9 = 6.

Question 38.
72 ÷ 9 =
72 ÷ 9 = 8.

Question 39.
11 × 9 =
11 × 9 = 99.

Question 40.
99 ÷ 9 =
99 ÷ 9 = 11.

Question 41.
12 × 9 =
12 × 9 = 108.

Question 42.
108 ÷ 9 =
108 ÷ 9 = 12.

Question 43.
14 × 9 =
14 × 9 = 126.

Question 44.
126 ÷ 9 =
126 ÷ 9 = 14.

B
Multiply or Divide by 9

Question 1.
1 × 9 =
1 × 9 = 9.

Question 2.
2 × 9 =
2 × 9 = 18.

Question 3.
3 × 9 =
3 × 9 = 27.

Question 4.
4 × 9 =
4 × 9 = 36.

Question 5.
5 × 9 =
5 × 9 = 45.

Question 6.
27 ÷ 9 =
27 ÷ 9 = 3.

Question 7.
18 ÷ 9 =
18 ÷ 9 = 2.

Question 8.
36 ÷ 9 =
36 ÷ 9 = 4.

Question 9.
9 ÷ 9 =
9 ÷ 9 = 1.

Question 10.
45 ÷ 9 =
45 ÷ 9 = 5.

Question 11.
10 × 9 =
10 × 9 = 90.

Question 12.
6 × 9 =
6 × 9 = 54.

Question 13.
7 × 9 =
7 × 9 = 63.

Question 14.
8 × 9 =
8 × 9 = 72.

Question 15.
9 × 9 =
9 × 9 = 81.

Question 16.
63 ÷ 9 =
63 ÷ 9 = 7.

Question 17.
54 ÷ 9 =
54 ÷ 9 = 6.

Question 18.
72 ÷ 9 =
72 ÷ 9 = 8.

Question 19.
90 ÷ 9 =
90 ÷ 9 = 10.

Question 20.
81 ÷ 9 =
81 ÷ 9 = 9.

Question 21.
___ × 9 = 9
1 × 9 = 9.

Question 22.
___ × 9 = 45
5 × 9 = 45.

Question 23.
___ × 9 = 18
2 × 9 = 18.

Question 24.
___ × 9 = 90
10 × 9 = 90.

Question 25.
___ × 9 = 27
3 × 9 = 27.

Question 26.
18 ÷ 9 =
18 ÷ 9 = 2.

Question 27.
9 ÷ 9 =
9 ÷ 9 = 1.

Question 28.
90 ÷ 9 =
90 ÷ 9 = 10.

Question 29.
45 ÷ 9 =
45 ÷ 9 = 5.

Question 30.
27 ÷ 9 =
27 ÷ 9 = 3.

Question 31.
___ × 9 = 27
_3__ × 9 = 27.

Question 32.
___ × 9 = 36
4 × 9 = 36.

Question 33.
___ × 9 = 81
9 × 9 = 81.

Question 34.
___ × 9 = 63
7 × 9 = 63.

Question 35.
72 ÷ 9 =
72 ÷ 9 = 8.

Question 36.
81 ÷ 9 =
81 ÷ 9 = 9.

Question 37.
54 ÷ 9 =
54 ÷ 9 = 6.

Question 38.
63 ÷ 9 =
63 ÷ 9 = 7.

Question 39.
11 × 9 =
11 × 9 = 99.

Question 40.
99 ÷ 9 =
99 ÷ 9 = 11.

Question 41.
12 × 9 =
12 × 9 = 108.

Question 42.
108 ÷ 9 =
108 ÷ 9 = 12.

Question 43.
13 × 9 =
13 × 9 = 117.

Question 44.
117 ÷ 9 =
117 ÷ 9 = 13.

### Eureka Math Grade 3 Module 7 Lesson 31 Problem Set Answer Key

 Square (letter) Does this square show one-half shaded? Explain why or why not. Describe changes to make so the square shows one-half shaded.

Explanation:
Any figure can be one-half shaded by shading its equal half part in it.

### Eureka Math Grade 3 Module 7 Lesson 31 Exit Ticket Answer Key

Marty shades the square as shown below and says one-half of the big square is shaded. Do you agree? Why or why not?

Yes, Marty is correct in saying one-half of the big square is shaded because the square half part is shaded and half not shaded.

Explanation:
Total number of blocks in the square = 36
Number of shaded blocks in the square = 18
Marty is correct her square is half shaded.

### Eureka Math Grade 3 Module 7 Lesson 31 Homework Answer Key

Question 1.
Use the rectangle below to answer Problem 1(a–d).

a. What is the area of the rectangle in square units?
b. What is the area of half of the rectangle in square units?
d. Explain how you know you shaded in half of the rectangle.
a. Area of the ABCD rectangle = 18 square units.
b. Area of half of the rectangle = 9 square units.
c.

d.  Number of shaded blocks in the rectangle = Total number of blocks in the rectangle  ÷ 2
= 18 units ÷ 2
= 9 units. This is how  we get to know half shaded in rectangle.

Explanation:
a.
Length of the ABCD rectangle = 6 units
Width of the ABCD rectangle = 3 units
Area of the ABCD rectangle = Length × Width
= 6 units × 3 units
= 18 square units.

b. Area of the ABCD rectangle = 18 square units.
Area of half of the rectangle = Area of the ABCD rectangle ÷ 2
= 18 square units ÷ 2
= 9 square units.

c.

d. Total number of blocks in the rectangle = 18 units
Number of shaded blocks in the rectangle = Total number of blocks in the rectangle  ÷ 2
= 18 units ÷ 2
= 9 units.

Question 2.
During math class, Arthur, Emily, and Gia draw a shape and then shade one-half of it. Analyze each student’s work. Determine if each student was correct or not, and explain your thinking.