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Balance the Symbols · 1

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🔍 Balance the Symbols · 1

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Practice and check

Worked example

Identical symbols have identical values. Use all equations to find the requested symbol.

○ = 4 → 4

  1. Read one problem and its conditions before starting. Work without a timer, and keep the key visible where the task requires it.
  2. Assign one value to each symbol and reuse it in every equation, including the final query.
  3. ○+○=a; ○+□=b · Step 1: 1 equations · Step 2: 2 equations · Step 3: 3 equations
Check answers after trying

1: 4 2: 5 3: 9 4: 10 5: 9 6: 10

Identical symbols have identical values. Use all equations to find the requested symbol.

Why this answer

  1. 1. ○ = 4 → 4
  2. 2. ○ = 5 → 5
  3. 3. ○ = 6; □ = 9 → 9
  4. 4. ○ = 7; □ = 10 → 10
  5. 5. ○ = 8; □ = 11; △ = 9 → 9
  6. 6. ○ = 9; □ = 12; △ = 10 → 10
  7. If an answer differs, return to the first step that differs and explain the choice. Change the answer after checking rather than guessing a new rule.
  8. Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.
  9. Original practice activities, not a standardized test or IQ score. Steps describe the task, not an age or ability grade.

Next worksheet: Balance the Symbols · 2

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Tips for Parents

What is on the sheet Identical symbols have identical values. Use all equations to find the requested symbol. ○+○=a; ○+□=b · Step 1: 1 equations · Step 2: 2 equations · Step 3: 3 equations Original practice activities, not a standardized test or IQ score. Steps describe the task, not an age or ability grade. Try one example Identical symbols have identical values. Use all equations to find the requested symbol. ○ = 4 → 4. Read one problem and its conditions before starting. Work without a timer, and keep the key visible where the task requires it. Check a difficulty Assign one value to each symbol and reuse it in every equation, including the final query. If an answer differs, return to the first step that differs and explain the choice. Change the answer after checking rather than guessing a new rule. Choose the next step ○+○=a; ○+□=b · Step 1: 1 equations · Step 2: 2 equations · Step 3: 3 equations Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.

What This Worksheet Builds

Identical symbols have identical values. Use all equations to find the requested symbol. Assign one value to each symbol and reuse it in every equation, including the final query.

Next Step

○+○=a; ○+□=b · Step 1: 1 equations · Step 2: 2 equations · Step 3: 3 equations Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.