Multi Chapter Math Test
Name:
Date:
Score:
Multi-Chapter Test
Form B • Items 9–11
Use each symbol once to make this equation true.
5 [(24 4) (15 6)] = 75
Workspace
Complete the subtraction problem using the digits 1, 2, 3, 4, 5, 6, or 7.
- 7
− 27.8
3 .64
Workspace
| Safari Park
| Admission Costs |
|---|
| Adult |
| Child |
What is the total cost for 15 children and 8 adults to go to the park?
$
Workspace
Grade 5 Mathematics Assessment Page 1 of 1
Multi Chapter Test Answer Key
Teacher Resource • Scoring Guide
Multi-Chapter Test — Answer Key
Total Points: 7
Form B • Items 9–11
Item 9 CCSS 5.OA.A.1
2 Points
5 × [(24 ÷ 4) + (15 − 6)] = 75
Step-by-Step Order of Operations:
- Inner parens: 24 ÷ 4 = 6 and 15 − 6 = 9
- Brackets: [6 + 9] = 15
- Outer multiply: 5 × 15 = 75 (True)
Scoring & Symbol Check:
• All 4 symbols (+, −, ×, ÷) used exactly once.
• 2 pts: All 4 operations correctly placed.
• 1 pt: 2–3 operations correctly placed with work.
Item 10 CCSS 5.NBT.B.7
3 Points (1 pt per blank)
63.47
−27.83
35.64
Regrouping & Place Value Analysis:
• Hundredths: \( 7 - \mathbf{3} = 4 \implies \) blank is 3.
• Tenths: \( \mathbf{4} - 8 \) regroups from ones: \( 14 - 8 = 6 \implies \) blank is 4.
• Ones: 3 became 2; regroups from tens: \( 12 - 7 = \mathbf{5} \implies \) blank is 5.
• Digits Used: {3, 4, 5} — all within {1, 2, 3, 4, 5, 6, 7}.
Item 11 CCSS 5.NBT.B.5 / 5.OA.A.2
2 Points
Final Answer:
$240
($240.00 also acceptable)
Solution Methods:
Standard Multi-Step:
Children cost: \( 15 \times \$8 = \$120 \)
Adults cost: \( 8 \times \$15 = \$120 \)
Total: \( \$120 + \$120 = \mathbf{\$240} \)
Mathematical Insight: Commutative property (\( 15 \times 8 = 8 \times 15 \)) produces identical sub-totals of $120. Total is \( 2 \times \$120 = \$240 \).
Performance Bands: 7 pts: Exceeds (100%) | 5–6 pts: Meets (71–86%) | ≤ 4 pts: Review Required (<70%)
Form B • Page 1 of 1