Multi Chapter Test Assessment
Name:
Date:
Multi-Chapter Test Form B
Grade 5 Mathematics
Which expression correctly shows the quotient of the difference of 28 and 12 and the product of 4 and 9?
A \( (28 - 12) \div (4 \times 9) \)
C \( (28 - 12) \times (4 \div 9) \)
B \( (28 \div 12) - (4 \times 9) \)
D \( 28 - 12 \div 4 \times 9 \)
Select all expressions that have a sum less than 50.4.
A \( 26.5 + 23.94 \)
C \( 19.8 + 30.65 \)
E \( 35.62 + 15.1 \)
B \( 31.75 + 18.6 \)
D \( 24.18 + 26.15 \)
You record the distance you jog each day for 4 days.
| Day | Distance (miles) |
|---|
| Monday | 0.86 |
| Tuesday | 0.69 |
| Wednesday | 0.74 |
| Thursday | 0.91 |
Order the days from least distance jogged to greatest distance jogged.
<
<
<
Monday Tuesday Wednesday Thursday
Grade 5 Mathematics Assessment Page 1
Name:
Multi-Chapter Test • Form B
There are 16 children on a youth track team.
| Item | Cost |
|---|
| 1 pack of 5 pairs of socks | $6.75 |
| 1 pack of 5 jerseys | $14.20 |
What is the least amount of money a coach will spend to supply each child with 1 pair of socks and 1 jersey?
$
Which statement correctly describes the value of this expression?
\( 4 \times (6,385 - 7) \)
A The value of the expression is 7 less than the product of 4 and 6,385.
B The value of the expression is 4 times the difference of 6,385 and 7.
C The value of the expression is 4 more than the difference of 6,385 and 7.
D The value of the expression is 6,385 times the difference of 4 and 7.
You have a collection of 1,000 commemorative stamps. You place 6 different stamps into an album each week.
Part A: After one year (52 weeks), what fraction of your stamps have you not placed in the album?
Part B: After one year, what portion of your stamps did you place in the album? Write your answer as a decimal.
Grade 5 Mathematics Assessment Page 2
Name:
Multi-Chapter Test • Form B
Find the value of \( y \).
\( 92.5 - 74.18 - y = 12 \)
\( y = \)
Rewrite the product of this expression as a power using the given base.
\( 10 \times 10 \times 10 \times 10 \times 10 \times 10 = \)
Use each symbol once to make this equation true.
Symbols:
6
[ ( 20
5 )
( 18
12 ) ] = 60
Complete the subtraction problem using the digits 1, 2, 3, 4, 5, 6, or 7.
8
− 37.9
2
.85
| Wildlife Park Admission Costs |
|---|
| Adult |
| Child |
What is the total cost for 16 children and 7 adults to go to the park?
$
Grade 5 Mathematics Assessment Page 3
Multi Chapter Test Answer Key
Teacher Answer Key Standards-Aligned Solutions
Multi-Chapter Test Form B
Total Points Page 1: 3 pts
Quotient of the difference of 28 and 12 and the product of 4 and 9:
1 pt
A \( (28 - 12) \div (4 \times 9) \) Correct
C \( (28 - 12) \times (4 \div 9) \)
B \( (28 \div 12) - (4 \times 9) \)
D \( 28 - 12 \div 4 \times 9 \)
Explanation: "Quotient" indicates division between two quantities. The dividend is the difference \( (28 - 12) \) and the divisor is the product \( (4 \times 9) \).
Select all expressions with sum less than 50.4:
1 pt
A \( 26.5 + 23.94 = 50.44 \) (> 50.4)
✓ B \( 31.75 + 18.6 = 50.35 \) (< 50.4)
C \( 19.8 + 30.65 = 50.45 \) (> 50.4)
✓ D \( 24.18 + 26.15 = 50.33 \) (< 50.4)
E \( 35.62 + 15.1 = 50.72 \) (> 50.4)
Scoring: Full credit (1 pt) requires selecting both B and D with no incorrect options checked.
Order days from least distance to greatest distance jogged:
1 pt
Values: Tuesday (0.69) < Wednesday (0.74) < Monday (0.86) < Thursday (0.91)
Tuesday (0.69)
<
Wednesday (0.74)
<
Monday (0.86)
<
Thursday (0.91)
Common Error: Confusing Monday (0.86) and Wednesday (0.74). Students should compare tenths digits first (\( 6 < 7 < 8 < 9 \)).
Teacher Answer Key • Form B Page 1 of 3
Multi-Chapter Test • Form B Key Page 2: 4 pts
Least amount to supply 16 children with 1 pair of socks and 1 jersey:
1 pt
Correct Answer: $83.80
Step-by-Step Solution:
• 16 children require 16 pairs of socks and 16 jerseys.
• Both items are sold in packs of 5. Calculate packs needed: \( 16 \div 5 = 3 \text{ R } 1 \). The coach must round up and buy 4 packs of each.
• Cost of socks: \( 4 \times \$6.75 = \$27.00 \)
• Cost of jerseys: \( 4 \times \$14.20 = \$56.80 \)
• Total cost: \( \$27.00 + \$56.80 = \mathbf{\$83.80} \)
Value description of \( 4 \times (6,385 - 7) \):
1 pt
B The value of the expression is 4 times the difference of 6,385 and 7.
Correct
Distractor Rationale:
A describes \( (4 \times 6,385) - 7 \) (order of operations error without grouping).
C confuses addition ("more than") with multiplication ("times").
D incorrectly groups 4 and 7 as the subtracted terms.
Stamp collection problem (1,000 stamps, 6 placed/week for 52 weeks):
2 pts (1 pt each)
Part A (Fraction NOT placed):
Total placed: \( 52 \times 6 = 312 \). Not placed: \( 1,000 - 312 = 688 \).
\( \frac{688}{1,000} \) (also accept simplified \( \frac{86}{125} \))
Part B (Portion placed as a decimal):
Placed = 312 out of 1,000 \( = \frac{312}{1000} \)
0.312
Teacher Answer Key • Form B Page 2 of 3
Multi-Chapter Test • Form B Key Page 3: 5 pts
- Solve: \( 92.5 - 74.18 - y = 12 \)
\( 92.50 - 74.18 = 18.32 \); \( 18.32 - 12 = 6.32 \)
1 pt
\( y = \mathbf{6.32} \)
- Product as a power: \( 10 \times 10 \times 10 \times 10 \times 10 \times 10 \)
Count 6 repeated factors of 10 → base 10 with exponent 6
1 pt
\( \mathbf{10^6} \)
- Use each symbol (+, −, ×, ÷) once to equal 60:
1 pt
6 × [ ( 20 ÷ 5 ) + ( 18 − 12 ) ] = 60
Check: \( 6 \times [ 4 + 6 ] = 6 \times 10 = 60 \). All 4 symbols used exactly once.
- Missing digits using 1, 2, 3, 4, 5, 6, or 7:
1 pt
- 7 8
− 37.9 3
2 4 .85
• Hundredths: \( 8 - \mathbf{3} = 5 \)
• Tenths: \( \mathbf{7} - 9 \) requires regrouping: \( 17 - 9 = 8 \)
• Ones: \( (2 - 1) - 7 \) regroup: \( 11 - 7 = \mathbf{4} \); Tens: \( 5 - 3 = 2 \)
• Digits used: 7, 3, 4 (all in set {1..7})
- Wildlife Park admission for 16 children and 7 adults:
1 pt
• 16 children @ $7 each: \( 16 \times \$7 = \$112 \)
• 7 adults @ $16 each: \( 7 \times \$16 = \$112 \)
• Total: \( \$112 + \$112 = \mathbf{\$224} \)
$224
Teacher Answer Key • Form B (Total: 12 Points) Page 3 of 3
