Factor Forge Worksheet
FACTOR FORGE
Set A • Vertical Algorithm Practice • Grade 5
Name:
Date:
1
Computation Mastery
Solve each problem. Use the workspace to show all calculations.
Problem 1 Show work below
38
× 4
Workspace / Partial Products
Problem 2 Show work below
65
× 7
Workspace / Partial Products
Problem 3 Show work below
83
× 6
Workspace / Partial Products
Problem 4 Show work below
49
× 9
Workspace / Partial Products
Problem 5 Show work below
72
× 8
Workspace / Partial Products
Problem 6 Show work below
94
× 5
Workspace / Partial Products
FACTOR FORGE • Grade 5 Mathematics Page 1 of 4
FACTOR FORGE
Set A • Applications & Reasoning
Student Name:
2
Real-World Problem Solving
Problem 7: The school science club is planting a native pollinator garden with 6 raised planter beds. If each bed contains exactly 24 strawberry plants, how many strawberry plants did the club plant altogether?
Workspace / Show Your Calculation:
Total Plants
Problem 8: Maya is assembling craft gift kits for a community art festival. She packs 8 storage totes. If each tote holds exactly 35 colorful mosaic tiles, how many tiles did Maya pack in all?
Workspace / Show Your Calculation:
Total Tiles
3
Diagnostic Lab • Spot the Mistake
Leo's Work
2
67
× 4
328
"4 × 7 = 28. Then 6 + 2 = 8, and 8 × 4 = 32!"
Problem 9: Explain Leo's mistake:
Correct Product:
4 × 67 =
FACTOR FORGE • Grade 5 Mathematics Page 2 of 4
FACTOR FORGE
Set B • Vertical Algorithm Practice • Grade 5
Name:
Date:
4
Computation Mastery
Solve each problem. Use the workspace to show all calculations.
Problem 10 Show work below
57
× 4
Workspace / Partial Products
Problem 11 Show work below
43
× 8
Workspace / Partial Products
Problem 12 Show work below
76
× 5
Workspace / Partial Products
Problem 13 Show work below
89
× 3
Workspace / Partial Products
Problem 14 Show work below
64
× 9
Workspace / Partial Products
Problem 15 Show work below
98
× 7
Workspace / Partial Products
FACTOR FORGE • Grade 5 Mathematics Page 3 of 4
FACTOR FORGE
Set B • Applications & Reasoning
Student Name:
5
Real-World Problem Solving
Problem 16: The youth basketball league ordered game jerseys for 7 teams. If each team has 18 players on its roster, how many jerseys did the league order in all?
Workspace / Show Calculation:
Total Jerseys
Problem 17: A 5th-grade class organized a food drive. They packed 9 sturdy boxes, with exactly 36 canned goods inside each box. How many total cans did they collect?
Workspace / Show Calculation:
Total Cans
Problem 18: A cinema sold tickets for 6 screenings of a movie, with 54 tickets sold per screening. If 28 attendees used student discount passes, how many paid full price?
2 Steps
Step 1 (Multiply) & Step 2 (Subtract):
Full Price Tickets
6
Diagnostic Lab • Spot the Mistake
Kendra's Work
1
83
× 6
488
"6 × 3 = 18. Then 6 × 8 = 48, so 488!"
Problem 19: Explain Kendra's mistake:
Correct Product:
6 × 83 =
FACTOR FORGE • Grade 5 Mathematics Page 4 of 4