Homework Solutions Answer Key
Teacher Answer Key • Homework
Day 1 Solutions: Multiplication
5.NBT.B.5
1. Value of \(604 \times 372\) Correct: B (224,688)
• \(604 \times 2 = 1,208\) • \(604 \times 70 = 42,280\) • \(604 \times 300 = 181,200\)
• Sum: \(1,208 + 42,280 + 181,200 = \mathbf{224,688}\)
2. 28 teams \(\times\) 135 jerseys Answer: 3,780 jerseys
\(135 \times 8 = 1,080\); \(135 \times 20 = 2,700\); \(1,080 + 2,700 = \mathbf{3,780}\text{ total jerseys}\).
3. Marcus ($3,245) vs Sister (4 times Marcus) Answer: $9,735 more
• Sister: \(4 \times \$3,245 = \$12,980\). Difference: \(\$12,980 - \$3,245 = \mathbf{\$9,735}\).
• Or sister saved 3 times more than Marcus: \(3 \times \$3,245 = \mathbf{\$9,735}\).
Teacher Answer Key • Homework
Day 2 Solutions: Division
5.NBT.B.6
4. Factors between 3,000 and 4,500 Correct: B, C, E
• A: \(7 \times 400 = 2,800\) (Low) • B: \(80 \times 50 = 4,000\) (YES) • C: \(60 \times 60 = 3,600\) (YES) • D: \(90 \times 30 = 2,700\) (Low) • E: \(500 \times 7 = 3,500\) (YES) • F: \(900 \times 6 = 5,400\) (High)
5. 1,488 books shared among 16 schools Answer: 93 books/school
\(1,488 \div 16 = \mathbf{93}\). \((16 \times 90 = 1,440;\; 1,488 - 1,440 = 48;\; 16 \times 3 = 48)\).
6. 72 sunflowers, 8 per vase Correct: A, C, D
The unknown is the number of vases \(v = 9\): A, C, and D are mathematically equivalent.
Grade 5 Math IA 1 Homework Solutions (Condensed Key) Page 1 of 4
Teacher Answer Key • Homework
Day 3 Solutions: Remainders
5.NBT.B.6
7. Museum Specimens (\(482 + 275 = 757\), 9 per case) Correct: B (85 cases)
\(757 \div 9 = 84\text{ R }1\). Round up: \(84 + 1 = \mathbf{85}\text{ cases needed}\).
8. Floor Tiles: 14 pallets \(\times\) 32, 26 damaged, 6/cart Answer: 71 carts
\(14 \times 32 = 448\); \(448 - 26 = 422\); \(422 \div 6 = 70\text{ R }2\). Round up: \(\mathbf{71}\text{ carts}\).
9. Orchard: 890 apples, 15 per gift basket 59 full baskets, 5 leftover
\(890 \div 15 = 59\text{ R }5\). Full baskets = \(\mathbf{59}\); Leftover apples = \(\mathbf{5}\).
Teacher Answer Key • Homework
Day 4 Solutions: Fraction Division
5.NF.B.3
10. 95 acres blueberry field among 7 crews Correct: C (Between 13 and 14)
\(95 \div 7 = \frac{95}{7} = 13\frac{4}{7}\text{ acres}\), which is between \(\mathbf{13}\text{ and }\mathbf{14}\).
11. 15 pounds pasta salad into 6 catering trays Answer: 2 1/2 pounds
\(15 \div 6 = \frac{15}{6} = 2\frac{3}{6} = \mathbf{2\frac{1}{2}}\text{ pounds}\).
12. Maya + 3 friends share 14 oz smoothie Answer: 3 1/2 ounces
\(14 \div 4 = \frac{14}{4} = 3\frac{2}{4} = \mathbf{3\frac{1}{2}}\text{ ounces per person}\).
Grade 5 Math IA 1 Homework Solutions (Condensed Key) Page 2 of 4
Teacher Answer Key • Homework
Day 5 Solutions: Fraction Multiply
5.NF.B.4
13. Expression equivalent to \(4/5 \times 20\) Correct: B (4 × 20 ÷ 5)
\(\frac{4}{5} \times 20 = \frac{4 \times 20}{5} = 4 \times 20 \div 5 = 80 \div 5 = \mathbf{16}\).
14. Value of \(14/3 \times 5\) Answer: 70/3 or 23 1/3
\(\frac{14}{3} \times \frac{5}{1} = \frac{70}{3} = \mathbf{23\frac{1}{3}}\).
15. 160 backpacks distributed to 4 grade levels Correct: B (160 × 1/4)
Dividing by 4 is identical to multiplying by \(\frac{1}{4}\).
Teacher Answer Key • Homework
Day 6 Solutions: Multi-Step Challenges
Synthesis
16. Mateo's Running (Mon/Wed/Fri @ 4/5; Tue/Thu @ 2/5) Answer: 3 1/5 miles (16/5)
\(3 \times \frac{4}{5} = \frac{12}{5}\); \(2 \times \frac{2}{5} = \frac{4}{5}\); Total = \(\frac{12}{5} + \frac{4}{5} = \frac{16}{5} = \mathbf{3\frac{1}{5}}\text{ miles}\).
17. Bakery Distribution (Box = 24 bars, Case = 32 boxes, Pallet = 15 cases)
Part A: Total Bars
Boxes = \(15 \times 32 = 480\).
Bars = \(480 \times 24 = \mathbf{11,520}\text{ bars}\).
Part B: Total Weight
\(480\text{ boxes} \times 15\text{ oz} = \mathbf{7,200}\text{ ounces}\).
18. 125 cartons \(\times\) 18 kits \(\div\) 15 classrooms Answer: 150 kits/classroom
\(125 \times 18 = 2,250\); \(2,250 \div 15 = \mathbf{150}\text{ kits per classroom}\).
Grade 5 Math IA 1 Homework Solutions (Condensed Key) Page 3 of 4
Teacher Answer Key • Homework
Day 7 Solutions: Mixed Review
5.NBT.B.5 & 6
19. Computer Mice: 2,184 packed 24 per box Answer: 91 full boxes
\(2,184 \div 24 = \mathbf{91}\). \((24 \times 90 = 2,160;\; 2,184 - 2,160 = 24;\; 24 \times 1 = 24;\; 90 + 1 = 91)\).
20. Flights: Nov = 1,560; Dec = 5 times Nov Answer: 6,240 more flights
• December flights: \(5 \times 1,560 = 7,800\).
• Difference: \(7,800 - 1,560 = \mathbf{6,240}\text{ more flights}\) (or \(4 \times 1,560 = 6,240\)).
21. Problems solved by \(630 \div 15\) (Select Two) Correct: B and C
• B represents dividing 630 passengers into groups of 15.
• C represents grouping 630 ears of corn into bags of 15.
Teacher Answer Key • Homework
Day 8 Solutions: Fractions & Mixed
5.NF.B.3 & 4
22. Olive Oil: 3/5 cup per loaf \(\times\) 25 loaves Answer: 15 cups
\(25 \times \frac{3}{5} = \frac{25 \times 3}{5} = \frac{75}{5} = \mathbf{15}\text{ cups}\).
23. 76 pounds of seed divided among 9 zones Correct: C (Between 8 and 9)
\(76 \div 9 = \frac{76}{9} = 8\frac{4}{9}\text{ pounds}\). Since \(8 < 8\frac{4}{9} < 9\), it falls between \(\mathbf{8}\text{ and }\mathbf{9}\text{ pounds}\).
24. Talia's Triathlon Training (3 days @ 5/6 mi + 1 1/2 mi) Answer: 4 miles
• Mon/Wed/Fri swim: \(3 \times \frac{5}{6} = \frac{15}{6} = 2\frac{3}{6} = 2\frac{1}{2}\text{ miles}\).
• Total swim: \(2\frac{1}{2} + 1\frac{1}{2} = \mathbf{4}\text{ miles}\).
Grade 5 Math IA 1 Homework Solutions (Condensed Key) Page 4 of 4
