Birthday 3D Shapes Worksheet: Free Printable PDF for Children ... - Free Printable

Of course! Let's solve each problem step-by-step. Each shape represents a number, and we need to find the value of the missing combinations.

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1)
- Red Triangle + Red Triangle = 10 → So, Red Triangle = 5 (because 5 + 5 = 10)
- Green Circle + Green Circle + Green Circle = 21 → So, Green Circle = 7 (because 7 + 7 + 7 = 21)
- Red Triangle + Green Circle = 5 + 7 = 12

✔ Answer: 12

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2)
- Purple Heart + Purple Heart + Purple Heart = 24 → Heart = 8 (24 ÷ 3)
- Orange Diamond + Orange Diamond + Orange Diamond + Orange Diamond = 24 → Diamond = 6 (24 ÷ 4)
- Heart + Diamond + Heart = 8 + 6 + 8 = 22

✔ Answer: 22

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3)
- Pink Pentagon + Blue Star + Blue Star = 26
- Blue Star + Blue Star = 22 → So, Blue Star = 11 (22 ÷ 2)
- Plug into first equation: Pentagon + 11 + 11 = 26 → Pentagon + 22 = 26 → Pentagon = 4
- Pentagon + Pentagon + Star = 4 + 4 + 11 = 19

✔ Answer: 19

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4)
- Green Triangle + Green Triangle + Green Triangle = 27 → Triangle = 9
- Yellow Square + Triangle + Triangle = 30 → Square + 9 + 9 = 30 → Square + 18 = 30 → Square = 12
- Square + Square + Triangle = 12 + 12 + 9 = 33

✔ Answer: 33

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5)
- Gray Diamond + Gray Diamond + Gray Diamond = 36 → Diamond = 12
- Diamond + Red Hexagon + Diamond + Red Hexagon = 30 → 12 + Hex + 12 + Hex = 30 → 24 + 2×Hex = 30 → 2×Hex = 6 → Hexagon = 3
- Hexagon + Hexagon + Hexagon + Diamond = 3 + 3 + 3 + 12 = 21

✔ Answer: 21

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6)
- Club = Spade + Spade → So, Club = 2 × Spade
- Club + Club = 28 → 2×Club = 28 → Club = 14
- Then, since Club = 2×Spade → 14 = 2×Spade → Spade = 7
- Club + Spade = 14 + 7 = 21

✔ Answer: 21

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7)
- Paperclip + Paperclip = 32 → Paperclip = 16
- Pencil + Pencil = Paperclip + Paperclip + Paperclip → 2×Pencil = 3×16 = 48 → Pencil = 24
- Pencil + Pencil + Pencil + Paperclip = 24 + 24 + 24 + 16 = 88

✔ Answer: 88

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8)
- T-shirt + Lock = 13
- T-shirt + Lock + Lock = 18 → Subtract first equation: (T + L + L) - (T + L) = 18 - 13 → Lock = 5
- Then, T-shirt + 5 = 13 → T-shirt = 8
So:
- T-shirt = 8
- Lock = 5

✔ Answers: T-shirt = 8, Lock = 5

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9)
- Lightning + Water Drop = 7
- Lightning + Water Drop + Lightning = 10 → (L + D) + L = 10 → 7 + L = 10 → Lightning = 3
- Then, 3 + D = 7 → Water Drop = 4
- Lightning + Water Drop + Water Drop = 3 + 4 + 4 = 11

✔ Answer: 11

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10)
- Pen + Wrench = 27
- Pen + Pen + Wrench + Wrench = 40 → 2×Pen + 2×Wrench = 40 → Divide by 2: Pen + Wrench = 20
Wait — this contradicts the first equation (Pen + Wrench = 27). Let’s re-read:

Actually, looking again:
First line: Pen + Wrench = 27
Second line: Pen + Pen + Wrench + Wrench = 40 → That’s 2×Pen + 2×Wrench = 40 → So Pen + Wrench = 20

But that contradicts the first line. This must be a typo or misprint in the worksheet. But if we trust the second equation as correct, then Pen + Wrench = 20.

However, since the question asks for “Pen + Wrench = ___” again at the bottom, and it was already given as 27, likely the second equation is meant to be something else.

Wait — let me check again visually: The second equation shows two pens and two wrenches adding to 40.

So:
Let P = Pen, W = Wrench
Equation 1: P + W = 27
Equation 2: 2P + 2W = 40 → which simplifies to P + W = 20

This is impossible unless there’s a mistake. But perhaps the second equation is Pen + Pen + Wrench = 40? That would make sense.

Looking at the image carefully: It appears to show two pens and two wrenches, so 2P + 2W = 40 → P + W = 20.

But then the first equation says P + W = 27 — contradiction.

Alternatively, maybe the first equation is Pen + Wrench = 27, and the second is Pen + Pen + Wrench = 40 — that would work.

Assuming that’s the case (perhaps a visual misinterpretation), let’s solve:

If:
- P + W = 27
- 2P + W = 40

Subtract first from second: (2P + W) - (P + W) = 40 - 27 → P = 13
Then W = 27 - 13 = 14

Then Pen + Wrench = 13 + 14 = 27 (which matches the first equation)

✔ Answer: 27

*(Note: There may be a visual ambiguity in the worksheet, but based on logical consistency, this is the intended solution.)*

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11)
- Hammer + Key = 14
- Hammer + Hammer + Hammer + Key = 32 → 3H + K = 32
From first: K = 14 - H
Plug into second: 3H + (14 - H) = 32 → 2H + 14 = 32 → 2H = 18 → Hammer = 9
Then Key = 14 - 9 = 5
Now: Hammer + Hammer + Key + Key + Key = 9 + 9 + 5 + 5 + 5 = 33

✔ Answer: 33

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12)
- Moon + Moon + Thermometer = 11 → 2M + T = 11
- Moon + Thermometer + Thermometer = 13 → M + 2T = 13

We have:
(1) 2M + T = 11
(2) M + 2T = 13

Multiply equation (1) by 2: 4M + 2T = 22
Subtract equation (2): (4M + 2T) - (M + 2T) = 22 - 13 → 3M = 9 → Moon = 3
Plug into (1): 2×3 + T = 11 → 6 + T = 11 → Thermometer = 5

Now:
- Moon + Moon + Moon + Thermometer + Thermometer + Thermometer = 3+3+3+5+5+5 = 24
- Moon + Thermometer = 3 + 5 = 8
- Moon = 3
- Thermometer = 5

✔ Answers: 24, 8, 3, 5

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✔ Final Answers:

1) 12
2) 22
3) 19
4) 33
5) 21
6) 21
7) 88
8) T-shirt = 8, Lock = 5
9) 11
10) 27 *(assuming the second equation is misread and should be 2P + W = 40)*
11) 33
12) 24, 8, 3, 5

Let me know if you’d like these explained differently or want to check any specific one again!