Grid Multiplication Worksheet
Grade 4–5 Mathematics • Standard Algorithm
Grid Power Multiplication
Name:
Date:
Score: ___ / 5
Directions: Solve each 2-digit multiplication problem below using the graph paper grid to keep your digits and columns neatly aligned.
5 Questions
1 36 × 24 =
Answer:
Vertical Setup
36
× 24
Estimate 40 × 20 ≈ 800
Workspace Grid 1 Digit / Box
<table class="w-full border-collapse border-2 border-sky-300 bg-white rounded overflow-hidden"><tbody><tr class="h-[23px] border-b border-sky-200"><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6"></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px]"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr></tbody></table>
2 54 × 37 =
Answer:
Vertical Setup
54
× 37
Estimate 50 × 40 ≈ 2000
Workspace Grid 1 Digit / Box
<table class="w-full border-collapse border-2 border-sky-300 bg-white rounded overflow-hidden"><tbody><tr class="h-[23px] border-b border-sky-200"><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6"></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px]"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr></tbody></table>
3 68 × 45 =
Answer:
Vertical Setup
68
× 45
Estimate 70 × 50 ≈ 3500
Workspace Grid 1 Digit / Box
<table class="w-full border-collapse border-2 border-sky-300 bg-white rounded overflow-hidden"><tbody><tr class="h-[23px] border-b border-sky-200"><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6"></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px]"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr></tbody></table>
4 79 × 63 =
Answer:
Vertical Setup
79
× 63
Estimate 80 × 60 ≈ 4800
Workspace Grid 1 Digit / Box
<table class="w-full border-collapse border-2 border-sky-300 bg-white rounded overflow-hidden"><tbody><tr class="h-[23px] border-b border-sky-200"><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6"></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px]"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr></tbody></table>
5 85 × 92 =
Answer:
Vertical Setup
85
× 92
Estimate 90 × 90 ≈ 8100
Workspace Grid 1 Digit / Box
<table class="w-full border-collapse border-2 border-sky-300 bg-white rounded overflow-hidden"><tbody><tr class="h-[23px] border-b border-sky-200"><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6"></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px] border-b border-sky-200"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr><tr class="h-[23px]"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr></tbody></table>
Standard Algorithm Guide
4 Steps
1
Multiply Ones: Top number × bottom ones digit.
2
Placeholder 0: Write a 0 in the ones box!
3
Multiply Tens: Top number × bottom tens digit.
4
Add Together: Add both partial products for total.
Alignment Rule: Keeping each digit in its own grid box keeps your work neat!
Multiplication Checklist: Multiply Ones Placeholder 0 Multiply Tens Add Partial Products
Grid Power Mathematics • 2-Digit × 2-Digit
Grid Multiplication Answer Key
Teacher Resource • Standard Algorithm Solutions
Grid Power Multiplication — Answer Key
Total Points: 10 / 10 2 pts per question (1 pt steps, 1 pt final)
Grading Key: Verify that the placeholder zero is included on row 2 of each grid and that partial products are neatly aligned before adding.
5 Complete Solutions
1 36 × 24 =
Answer: 864
Solution Steps
36 × 4 = 144
36 × 20 = 720
Sum = 864
Check Estimate 40 × 20 = 800 ✓
Grid Alignment 144 + 720
<table class="w-full border-collapse border-2 border-sky-300 bg-white rounded overflow-hidden font-mono text-xs text-center font-bold"><tbody><tr class="h-[23px] border-b border-sky-200 bg-amber-50/30 text-[10px] text-amber-600"><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200">¹₂</td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6"></td></tr><tr class="h-[23px] border-b border-sky-200 text-slate-800"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">3</td><td class="border-r border-sky-200">6</td><td></td></tr><tr class="h-[23px] border-b-2 border-slate-700 text-slate-800"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200 text-slate-400 font-normal">×</td><td class="border-r border-sky-200">2</td><td class="border-r border-sky-200">4</td><td></td></tr><tr class="h-[23px] border-b border-sky-200 text-indigo-900"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">1</td><td class="border-r border-sky-200">4</td><td class="border-r border-sky-200">4</td><td></td></tr><tr class="h-[23px] border-b-2 border-slate-700 text-indigo-900"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200 text-slate-400 font-normal">+</td><td class="border-r border-sky-200">7</td><td class="border-r border-sky-200">2</td><td class="border-r border-sky-200 text-amber-600 bg-amber-50/50">0</td><td></td></tr><tr class="h-[23px] border-b border-sky-200 text-emerald-800 bg-emerald-50/40"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">8</td><td class="border-r border-sky-200">6</td><td class="border-r border-sky-200">4</td><td></td></tr><tr class="h-[23px] bg-slate-50/30"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr></tbody></table>
2 54 × 37 =
Answer: 1,998
<table class="w-full border-collapse border-2 border-sky-300 bg-white rounded overflow-hidden font-mono text-xs text-center font-bold"><tbody><tr class="h-[23px] border-b border-sky-200 bg-amber-50/30 text-[10px] text-amber-600"><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200">¹</td><td class="w-1/6 border-r border-sky-200">²</td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6"></td></tr><tr class="h-[23px] border-b border-sky-200 text-slate-800"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">5</td><td class="border-r border-sky-200">4</td><td></td></tr><tr class="h-[23px] border-b-2 border-slate-700 text-slate-800"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200 text-slate-400 font-normal">×</td><td class="border-r border-sky-200">3</td><td class="border-r border-sky-200">7</td><td></td></tr><tr class="h-[23px] border-b border-sky-200 text-indigo-900"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">3</td><td class="border-r border-sky-200">7</td><td class="border-r border-sky-200">8</td><td></td></tr><tr class="h-[23px] border-b-2 border-slate-700 text-indigo-900"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">1</td><td class="border-r border-sky-200">6</td><td class="border-r border-sky-200">2</td><td class="border-r border-sky-200 text-amber-600 bg-amber-50/50">0</td><td></td></tr><tr class="h-[23px] border-b border-sky-200 text-emerald-800 bg-emerald-50/40"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">1</td><td class="border-r border-sky-200">9</td><td class="border-r border-sky-200">9</td><td class="border-r border-sky-200">8</td><td></td></tr><tr class="h-[23px] bg-slate-50/30"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr></tbody></table>
<table class="w-full border-collapse border-2 border-sky-300 bg-white rounded overflow-hidden font-mono text-xs text-center font-bold"><tbody><tr class="h-[23px] border-b border-sky-200 bg-amber-50/30 text-[10px] text-amber-600"><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200">³</td><td class="w-1/6 border-r border-sky-200">⁴</td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6"></td></tr><tr class="h-[23px] border-b border-sky-200 text-slate-800"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">6</td><td class="border-r border-sky-200">8</td><td></td></tr><tr class="h-[23px] border-b-2 border-slate-700 text-slate-800"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200 text-slate-400 font-normal">×</td><td class="border-r border-sky-200">4</td><td class="border-r border-sky-200">5</td><td></td></tr><tr class="h-[23px] border-b border-sky-200 text-indigo-900"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">3</td><td class="border-r border-sky-200">4</td><td class="border-r border-sky-200">0</td><td></td></tr><tr class="h-[23px] border-b-2 border-slate-700 text-indigo-900"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">2</td><td class="border-r border-sky-200">7</td><td class="border-r border-sky-200">2</td><td class="border-r border-sky-200 text-amber-600 bg-amber-50/50">0</td><td></td></tr><tr class="h-[23px] border-b border-sky-200 text-emerald-800 bg-emerald-50/40"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">3</td><td class="border-r border-sky-200">0</td><td class="border-r border-sky-200">6</td><td class="border-r border-sky-200">0</td><td></td></tr><tr class="h-[23px] bg-slate-50/30"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr></tbody></table>
<table class="w-full border-collapse border-2 border-sky-300 bg-white rounded overflow-hidden font-mono text-xs text-center font-bold"><tbody><tr class="h-[23px] border-b border-sky-200 bg-amber-50/30 text-[10px] text-amber-600"><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200">⁵</td><td class="w-1/6 border-r border-sky-200">²</td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6"></td></tr><tr class="h-[23px] border-b border-sky-200 text-slate-800"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">7</td><td class="border-r border-sky-200">9</td><td></td></tr><tr class="h-[23px] border-b-2 border-slate-700 text-slate-800"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200 text-slate-400 font-normal">×</td><td class="border-r border-sky-200">6</td><td class="border-r border-sky-200">3</td><td></td></tr><tr class="h-[23px] border-b border-sky-200 text-indigo-900"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">2</td><td class="border-r border-sky-200">3</td><td class="border-r border-sky-200">7</td><td></td></tr><tr class="h-[23px] border-b-2 border-slate-700 text-indigo-900"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">4</td><td class="border-r border-sky-200">7</td><td class="border-r border-sky-200">4</td><td class="border-r border-sky-200 text-amber-600 bg-amber-50/50">0</td><td></td></tr><tr class="h-[23px] border-b border-sky-200 text-emerald-800 bg-emerald-50/40"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">4</td><td class="border-r border-sky-200">9</td><td class="border-r border-sky-200">7</td><td class="border-r border-sky-200">7</td><td></td></tr><tr class="h-[23px] bg-slate-50/30"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr></tbody></table>
<table class="w-full border-collapse border-2 border-sky-300 bg-white rounded overflow-hidden font-mono text-xs text-center font-bold"><tbody><tr class="h-[23px] border-b border-sky-200 bg-amber-50/30 text-[10px] text-amber-600"><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6 border-r border-sky-200">⁴</td><td class="w-1/6 border-r border-sky-200">¹</td><td class="w-1/6 border-r border-sky-200"></td><td class="w-1/6"></td></tr><tr class="h-[23px] border-b border-sky-200 text-slate-800"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">8</td><td class="border-r border-sky-200">5</td><td></td></tr><tr class="h-[23px] border-b-2 border-slate-700 text-slate-800"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200 text-slate-400 font-normal">×</td><td class="border-r border-sky-200">9</td><td class="border-r border-sky-200">2</td><td></td></tr><tr class="h-[23px] border-b border-sky-200 text-indigo-900"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">1</td><td class="border-r border-sky-200">7</td><td class="border-r border-sky-200">0</td><td></td></tr><tr class="h-[23px] border-b-2 border-slate-700 text-indigo-900"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">7</td><td class="border-r border-sky-200">6</td><td class="border-r border-sky-200">5</td><td class="border-r border-sky-200 text-amber-600 bg-amber-50/50">0</td><td></td></tr><tr class="h-[23px] border-b border-sky-200 text-emerald-800 bg-emerald-50/40"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200">7</td><td class="border-r border-sky-200">8</td><td class="border-r border-sky-200">2</td><td class="border-r border-sky-200">0</td><td></td></tr><tr class="h-[23px] bg-slate-50/30"><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td class="border-r border-sky-200"></td><td></td></tr></tbody></table>