Third Grade Addition Worksheets - Free Printable

Let me work through this hexagon addition wall problem step by step.

The rule is: Each number in the wall is made by adding the 2 numbers directly below it.

The structure of each wall is:
- Top row: 1 hexagon (the answer)
- Middle row: 2 hexagons
- Bottom row: 3 hexagons

So if we label positions:
- Top: T
- Middle left: ML, Middle right: MR
- Bottom left: BL, Bottom middle: BM, Bottom right: BR

Rules:
- ML + MR = T
- BL + BM = ML
- BM + BR = MR

So: BL + 2(BM) + BR = T (since ML = BL+BM and MR = BM+BR, so ML+MR = BL+2BM+BR = T)

Let me verify with the example:
- T = 180
- ML = 70, MR = 110 → 70 + 110 = 180 ✓
- BL = 20, BM = 50, BR = 60
- ML = 20 + 50 = 70 ✓
- MR = 50 + 60 = 110 ✓

Great, the rule checks out.

Now I need to find valid solutions for each wall. Since there are multiple ways, I'll pick simple ones.

Wall 2: Top = 20
Need: BL + 2(BM) + BR = 20
Simple choice: BL=5, BM=5, BR=5 → 5+10+5=20
Then ML = 5+5=10, MR = 5+5=10, and 10+10=20 ✓

Or even simpler: BL=0, BM=10, BR=0 → 0+20+0=20
ML=10, MR=10, 10+10=20 ✓

Let me use positive numbers: BL=4, BM=6, BR=6 → 4+12+6=22. No.
BL=4, BM=6, BR=4 → 4+12+4=20 ✓
ML=10, MR=10, 10+10=20 ✓

Wall 3: Top = 32
BL + 2(BM) + BR = 32
Try: BL=8, BM=8, BR=8 → 8+16+8=32 ✓
ML=16, MR=16, 16+16=32 ✓

Wall 4: Top = 100
BL + 2(BM) + BR = 100
Try: BL=20, BM=30, BR=20 → 20+60+20=100 ✓
ML=50, MR=50, 50+50=100 ✓

Wall 5: Top = 45
BL + 2(BM) + BR = 45
Try: BL=10, BM=15, BR=5 → 10+30+5=45 ✓
ML=25, MR=20, 25+20=45 ✓

Wall 6: Top = 150
BL + 2(BM) + BR = 150
Try: BL=30, BM=45, BR=30 → 30+90+30=150 ✓
ML=75, MR=75, 75+75=150 ✓

Wall 7: Top = 63
BL + 2(BM) + BR = 63
Try: BL=15, BM=20, BR=8 → 15+40+8=63 ✓
ML=35, MR=28, 35+28=63 ✓

Or simpler: BL=21, BM=21, BR=0 → 21+42+0=63. But 0 might not be ideal.
BL=15, BM=21, BR=6 → 15+42+6=63 ✓
ML=36, MR=27, 36+27=63 ✓

Let me try: BL=10, BM=20, BR=13 → 10+40+13=63 ✓
ML=30, MR=33, 30+33=63 ✓

Wall 8: Top = 210
BL + 2(BM) + BR = 210
Try: BL=50, BM=55, BR=50 → 50+110+50=210 ✓
ML=105, MR=105, 105+105=210 ✓

Wall 9: Top = 84
BL + 2(BM) + BR = 84
Try: BL=20, BM=22, BR=20 → 20+44+20=84 ✓
ML=42, MR=42, 42+42=84 ✓

Let me verify all my answers once more:

Wall 2 (Top=20): BL=4, BM=6, BR=4 → ML=10, MR=10 → 10+10=20 ✓
Wall 3 (Top=32): BL=8, BM=8, BR=8 → ML=16, MR=16 → 16+16=32 ✓
Wall 4 (Top=100): BL=20, BM=30, BR=20 → ML=50, MR=50 → 50+50=100 ✓
Wall 5 (Top=45): BL=10, BM=15, BR=5 → ML=25, MR=20 → 25+20=45 ✓
Wall 6 (Top=150): BL=30, BM=45, BR=30 → ML=75, MR=75 → 75+75=150 ✓
Wall 7 (Top=63): BL=10, BM=20, BR=13 → ML=30, MR=33 → 30+33=63 ✓
Wall 8 (Top=210): BL=50, BM=55, BR=50 → ML=105, MR=105 → 105+105=210 ✓
Wall 9 (Top=84): BL=20, BM=22, BR=20 → ML=42, MR=42 → 42+42=84 ✓

All checks pass! Let me present these clearly.

Final Answer:

Here are possible solutions for each hexagon wall (remember, there are many correct answers!):

Wall with top = 20:
- Bottom row: 4, 6, 4
- Middle row: 10, 10

Wall with top = 32:
- Bottom row: 8, 8, 8
- Middle row: 16, 16

Wall with top = 100:
- Bottom row: 20, 30, 20
- Middle row: 50, 50

Wall with top = 45:
- Bottom row: 10, 15, 5
- Middle row: 25, 20

Wall with top = 150:
- Bottom row: 30, 45, 30
- Middle row: 75, 75

Wall with top = 63:
- Bottom row: 10, 20, 13
- Middle row: 30, 33

Wall with top = 210:
- Bottom row: 50, 55, 50
- Middle row: 105, 105

Wall with top = 84:
- Bottom row: 20, 22, 20
- Middle row: 42, 42