27 Super Fun Maths Puzzles For Kids, With Answers | MomJunction - Free Printable

Let's solve this step-by-step using the clues provided.

We are given a set of equations involving shapes:

- Triangle (△) + Triangle (△) = 6
- Circle (○) + Square (□) = 8
- Triangle (△) + Circle (○) = 4
- Square (□) + Diamond (◇) = 10

We need to find the values of each shape and then use them to solve the four unknown expressions on the right side.

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Step 1: Assign variables

Let:
- △ = A
- ○ = B
- □ = C
- ◇ = D

Now rewrite the clues:

1. A + A = 6 → 2A = 6 → A = 3
2. B + C = 8
3. A + B = 4
4. C + D = 10

We already know A = 3.

Use equation (3):
A + B = 4 → 3 + B = 4 → B = 1

Now use equation (2):
B + C = 8 → 1 + C = 8 → C = 7

Now use equation (4):
C + D = 10 → 7 + D = 10 → D = 3

So now we have:
- △ (A) = 3
- ○ (B) = 1
- □ (C) = 7
- ◇ (D) = 3

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Step 2: Solve the unknown expressions

Now evaluate each expression on the right:

#### 1. △ + □ + ◇ = ?
= 3 + 7 + 3 = 13

#### 2. ○ + □ + △ = ?
= 1 + 7 + 3 = 11

#### 3. □ + □ + ◇ = ?
= 7 + 7 + 3 = 17

#### 4. △ + □ + ◇ + ○ = ?
= 3 + 7 + 3 + 1 = 14

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✔ Final Answers:

- △ + □ + ◇ = 13
- ○ + □ + △ = 11
- □ + □ + ◇ = 17
- △ + □ + ◇ + ○ = 14

Let me know if you'd like a visual or table summary!