Multiplication Square Puzzles worksheet for practicing multiplication facts with grid-based problems.

Let’s solve each puzzle one by one. Remember:
In each 2x2 grid, the number on the right is the product of the two numbers in that row.
The number on the bottom is the product of the two numbers in that column.

We’ll use factors to figure out what goes in each box.

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a.

Right side: top row → 6, bottom row → 49
Bottom: left col → 14, right col → 21

So:
- Top-left × Top-right = 6
- Bottom-left × Bottom-right = 49
- Top-left × Bottom-left = 14
- Top-right × Bottom-right = 21

Let’s find factors:

49 = 7×7 → so bottom row must be 7 and 7? But then 7×7=49, good.
But check columns: if bottom-left = 7, then top-left = 14 ÷ 7 = 2
If bottom-right = 7, then top-right = 21 ÷ 7 = 3
Now check top row: 2 × 3 = 6 ✔ Perfect!

✔ Answer for a:
Top row: 2, 3
Bottom row: 7, 7

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b.

Right: top → 27, bottom → 32
Bottom: left → 36, right → 24

So:
- TL × TR = 27
- BL × BR = 32
- TL × BL = 36
- TR × BR = 24

Factors of 27: 1×27, 3×9
Factors of 32: 1×32, 2×16, 4×8
Try TL=3, TR=9 → then BL = 36÷3=12, BR=24÷9 → not integer ✘
Try TL=9, TR=3 → BL=36÷9=4, BR=24÷3=8 → check bottom row: 4×8=32 ✔
Perfect!

✔ Answer for b:
Top row: 9, 3
Bottom row: 4, 8

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c.

Right: top → 42, bottom → 72
Bottom: left → 54, right → 56

TL × TR = 42
BL × BR = 72
TL × BL = 54
TR × BR = 56

Factors of 42: 6×7, 3×14, etc.
Try TL=6, TR=7 → BL=54÷6=9, BR=56÷7=8 → check bottom: 9×8=72 ✔

✔ Answer for c:
Top row: 6, 7
Bottom row: 9, 8

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d.

Right: top → 12, bottom → 30
Bottom: left → 18, right → 20

TL × TR = 12
BL × BR = 30
TL × BL = 18
TR × BR = 20

Try TL=3, TR=4 → BL=18÷3=6, BR=20÷4=5 → bottom: 6×5=30 ✔

✔ Answer for d:
Top row: 3, 4
Bottom row: 6, 5

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e.

Right: top → 56, bottom → 9
Bottom: left → 7, right → 72

TL × TR = 56
BL × BR = 9
TL × BL = 7
TR × BR = 72

From TL × BL = 7 → possible: 1×7 or 7×1
Try TL=7, BL=1 → then TR=56÷7=8, BR=72÷8=9 → check bottom: 1×9=9 ✔

✔ Answer for e:
Top row: 7, 8
Bottom row: 1, 9

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f.

Right: top → 9, bottom → 35
Bottom: left → 21, right → 15

TL × TR = 9
BL × BR = 35
TL × BL = 21
TR × BR = 15

Factors of 9: 1×9, 3×3
Try TL=3, TR=3 → BL=21÷3=7, BR=15÷3=5 → bottom: 7×5=35 ✔

✔ Answer for f:
Top row: 3, 3
Bottom row: 7, 5

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g.

Right: top → 24, bottom → 36
Bottom: left → 16, right → 54

TL × TR = 24
BL × BR = 36
TL × BL = 16
TR × BR = 54

Try TL=4, TR=6 → BL=16÷4=4, BR=54÷6=9 → bottom: 4×9=36 ✔

✔ Answer for g:
Top row: 4, 6
Bottom row: 4, 9

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h.

Right: top → 63, bottom → 2
Bottom: left → 18, right → 7

TL × TR = 63
BL × BR = 2
TL × BL = 18
TR × BR = 7

BL × BR = 2 → possibilities: 1×2 or 2×1
Try BL=2, BR=1 → then TL=18÷2=9, TR=7÷1=7 → top: 9×7=63 ✔

✔ Answer for h:
Top row: 9, 7
Bottom row: 2, 1

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i.

Right: top → 48, bottom → 18
Bottom: left → 36, right → 24

TL × TR = 48
BL × BR = 18
TL × BL = 36
TR × BR = 24

Try TL=6, TR=8 → BL=36÷6=6, BR=24÷8=3 → bottom: 6×3=18 ✔

✔ Answer for i:
Top row: 6, 8
Bottom row: 6, 3

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j.

Right: top → 40, bottom → 64
Bottom: left → 40, right → 64

TL × TR = 40
BL × BR = 64
TL × BL = 40
TR × BR = 64

Notice: TL × BL = 40 and TL × TR = 40 → so BL = TR?
Also TR × BR = 64 and BL × BR = 64 → same thing.

Try TL=5, TR=8 → BL=40÷5=8, BR=64÷8=8 → bottom: 8×8=64 ✔
Check top: 5×8=40 ✔

✔ Answer for j:
Top row: 5, 8
Bottom row: 8, 8

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k.

Right: top → 7, bottom → 6
Bottom: left → 42, right → 1

TL × TR = 7 → only 1×7 or 7×1
BL × BR = 6
TL × BL = 42
TR × BR = 1 → so TR and BR must both be 1 (since 1×1=1)

So TR=1, BR=1 → then TL=7 (because 7×1=7), BL=42÷7=6 → check bottom: 6×1=6 ✔

✔ Answer for k:
Top row: 7, 1
Bottom row: 6, 1

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Final Answer:

a. Top: 2, 3 | Bottom: 7, 7
b. Top: 9, 3 | Bottom: 4, 8
c. Top: 6, 7 | Bottom: 9, 8
d. Top: 3, 4 | Bottom: 6, 5
e. Top: 7, 8 | Bottom: 1, 9
f. Top: 3, 3 | Bottom: 7, 5
g. Top: 4, 6 | Bottom: 4, 9
h. Top: 9, 7 | Bottom: 2, 1
i. Top: 6, 8 | Bottom: 6, 3
j. Top: 5, 8 | Bottom: 8, 8
k. Top: 7, 1 | Bottom: 6, 1