Topic 5 Assessment Answer Key
Name
TEACHER ANSWER KEY • GRADE 4
Topic 5
Assessment
- Which is the BEST for the quotient
\( 124 \div 6 \).
\( 200 \div 5 = 40 \) ✓ \( 120 \div 6 = 20 \) \( 100 \div 5 = 20 \) \( 100 \div 6 = 10 \) \( 200 \div 4 = 50 \)
- Draw a bar diagram for the equation, and then solve.
\( 2,400 \div 8 = b \).
Bar diagram:
2,400
b
b
b
b
b
b
b
b
b = 300 (2,400 ÷ 8 = 300)
- Mrs. Brooks has two pieces of ribbon to make wreaths. One piece is 18 yards long and the other is 15 yards long. Each wreath requires 5 yards of ribbon. How many wreaths can Mrs. Brooks make? What would we do with any remainders? Why?
Step 1:
18 + 15 = 33 yards of ribbon
Step 2:
33 ÷ 5 = 6 R3
Explain:
Mrs. Brooks can make 6 wreaths. We drop/ignore the remainder of 3 yards because 3 yards is not enough ribbon to make another full 5-yard wreath.
A. Write an equation to show how to divide 575 into 5 equal groups.
575 ÷ 5 = 115 (or 575 ÷ 5 = g)
B. Solve the equation in part A.
Sample Student Work:
500 ÷ 5 = 100
50 ÷ 5 = 10
25 ÷ 5 = 5
100 + 10 + 5 = 115
Answer: 115
- What is the best estimate for
\( 2,500 \div 6 \)?
A. 600
✓ B. 400 (2,400 ÷ 6 = 400)
C. 800
D. 200
Assessment
1 of 4
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TEACHER ANSWER KEY • TOPIC 5 ASSESSMENT
Grade 4 Math
- Solve the equation: \( 37 \div 8 = A \)
Work:
4 R5
8 ) 37
- 32 (8 × 4)
----
5
A = 4 R5
- Use compatible numbers to estimate the quotient \( 330 \div 4 \). Then find the exact answer.
Estimate:
320 ÷ 4 = 80 (or 360 ÷ 4 = 90)
Exact quotient:
82 R2
4 ) 330
- 320
-----
10
- 8
-----
2
Answer: 82 R2
- Find the quotient of \( 4,200 \div 6 \) using extended fact families. What basic fact did you use?
Quotient: 700
Basic fact: 42 ÷ 6 = 7 (or 6 × 7 = 42)
- Select all the equations in which the remainder is 3.
\( 52 \div 6 = 8 \text{ R?} \) (R = 4)
✓ \( 351 \div 6 = 58 \text{ R?} \) (351 - 348 = 3 ✓)
\( 1,348 \div 7 = 192 \text{ R?} \) (R = 4)
- Which of the following expressions does NOT have a remainder of 5?
A. \( 77 \div 9 \) (\( 77 = 9 \times 8 + 5 \))
B. \( 113 \div 9 \) (\( 113 = 9 \times 12 + 5 \))
C. \( 338 \div 9 \) (\( 338 = 9 \times 37 + 5 \))
✓ D. \( 822 \div 9 \) (R = 3, NOT 5)
Assessment
2 of 4
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TEACHER ANSWER KEY • TOPIC 5 ASSESSMENT
Grade 4 Math
- Which of the following is NOT equivalent to \( 48 \div 4 \)?
A. \( (40 + 8) \div 4 \)
B. \( (40 \div 4) + (8 \div 4) \)
✓ C. \( (40 \div 4) + 8 \) (= 18)
D. \( (20 \div 4) + (28 \div 4) \)
- Select the best estimate for
\( 331 \div 4 \).
\( 160 \div 4 \) \( 360 \div 9 \) ✓ \( 320 \div 4 \) \( 360 \div 6 \)
- Use partial quotients to find the quotient. 676 divided by 4
Partial Quotients Work: Quotients
4 ) 676
- 400 (4 × 100) 100
276
- 240 (4 × 60) 60
36
- 36 (4 × 9) 9
100 + 60 + 9 = 169
- Find \( 1,800 \div 6 \). What basic fact did you use?
Answer: 300
Basic fact: 18 ÷ 6 = 3
- The fourth graders are going to the theater to watch the movie version of the book they all have read.
| Group | Number of People |
|---|
| Mr. Blaine's Class | 27 |
| Mrs. Hatch's Class | 28 |
| Miss Rupert's Class | 31 |
| Mr. Lang's Class | 29 |
| Teachers and Chaperones | 11 |
| Total | 126 |
Each row seats 9 people. How many rows will be needed to seat everyone?
27 + 28 + 31 + 29 + 11 = 126
126 ÷ 9 = 14
14 rows
A. Divide.
\( 312 \div 6 = \) 52
B. How can the answer to A help you easily find \( 3,120 \div 6 \)?
3,120 is 10 times greater than 312 (\( 312 \times 10 = 3,120 \)). Therefore, the quotient will also be 10 times greater: 52 × 10 = 520
Assessment
3 of 4
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TEACHER ANSWER KEY • TOPIC 5 ASSESSMENT
Grade 4 Math
- The Comic Depot gives customers a free comic book when they purchase 9 comic books. How many free comic books can Marci get if she buys 68 comics? How many more comic books does she need to buy to get her next free comic book?
68 ÷ 9 = 7 R5 (9 × 7 = 63, 68 - 63 = 5)
# of free comic books: 7
# of comic books to get the next free comic book:
4 (9 - 5 = 4)
- Use an equation to show how to share 144 into 6 equal groups. Solve your equation.
Equation:
144 ÷ 6 = 24 (or 144 ÷ 6 = s)
Work:
120 ÷ 6 = 20
24 ÷ 6 = 4
20 + 4 = 24
Quotient: 24
- Match each equation with the correct missing digit.
| 7 | 6 | 2 | 1 |
|---|
| \( 3,\mathbf{\underline{2}}00 \div 4 = 800 \) | | | ✓ | |
| \( 805 \div \mathbf{\underline{7}} = 115 \) | ✓ | | | |
| \( 420 \div 7 = \mathbf{\underline{6}}0 \) | | ✓ | | |
| \( 90 \div 8 = 1\mathbf{\underline{1}} \text{ R2} \) | | | | ✓ |
- Mr. Draper says that 8 cookies fit into a box. If he baked 500 cookies, how many boxes will Mr. Draper need for all of the cookies? How did you use the remainder?
500 ÷ 8 = 62 R4
(8 × 62 = 496 cookies; 4 left over)
Mr. Draper needs 63 boxes
How did you use the remainder?
Round up to 63 boxes. You must add 1 more box because the leftover 4 cookies still need a box so that all 500 cookies are packaged.
Assessment
4 of 4
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