To solve this puzzle, we need to understand the rule given at the top:
"The numbers in the circles added together makes the number in the linked rectangle."
This means for every triangle shape:
$$(\text{Top Circle}) + (\text{Bottom Left Circle}) + (\text{Bottom Right Circle}) = \text{Middle Rectangle Number}$$
Let's solve each missing part step-by-step.
Row 1
Puzzle 1 (Left):
* We have: Top $3$, Bottom Left $2$, Bottom Right is empty ($?$), Middle $65$.
* Equation: $3 + 2 + ? = 65$
* Add the known circles: $3 + 2 = 5$
* Subtract from the middle number: $65 - 5 = 60$
*
Missing number: 60
Puzzle 2 (Middle):
* We have: Top $29$, Bottom Left $12$, Bottom Right $14$, Middle is empty ($?$).
* Equation: $29 + 12 + 14 = ?$
* Add them up: $29 + 12 = 41$, and $41 + 14 = 55$
*
Missing number: 55
Puzzle 3 (Right):
* We have: Top $24$, Bottom Left is empty ($?$), Bottom Right $58$, Middle $88$.
* Equation: $24 + ? + 58 = 88$
* Add the known circles: $24 + 58 = 82$
* Subtract from the middle number: $88 - 82 = 6$
*
Missing number: 6
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Row 2
Puzzle 4 (Left):
* We have: Top $9$, Bottom Left $3$, Bottom Right $-1$, Middle is empty ($?$).
* Equation: $9 + 3 + (-1) = ?$
* Calculate: $9 + 3 = 12$, and $12 - 1 = 11$
*
Missing number: 11
Puzzle 5 (Middle):
* We have: Top $8$, Bottom Left $27$, Bottom Right $23$, Middle is empty ($?$).
* Equation: $8 + 27 + 23 = ?$
* Calculate: $27 + 23 = 50$, and $50 + 8 = 58$
*
Missing number: 58
Puzzle 6 (Right):
* We have: Top $35$, Bottom Left $13$, Bottom Right $2$, Middle is empty ($?$).
* Equation: $35 + 13 + 2 = ?$
* Calculate: $35 + 13 = 48$, and $48 + 2 = 50$
*
Missing number: 50
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Row 3
Puzzle 7 (Left):
* We have: Top $4$, Bottom Left $6$, Bottom Right $9$, Middle is empty ($?$).
* Equation: $4 + 6 + 9 = ?$
* Calculate: $4 + 6 = 10$, and $10 + 9 = 19$
*
Missing number: 19
Puzzle 8 (Middle):
* We have: Top $15$, Bottom Left $17$, Bottom Right $21$, Middle is empty ($?$).
* Equation: $15 + 17 + 21 = ?$
* Calculate: $15 + 17 = 32$, and $32 + 21 = 53$
*
Missing number: 53
Puzzle 9 (Right):
* We have: Top $19$, Bottom Left $12$, Bottom Right $59$, Middle is empty ($?$).
* Equation: $19 + 12 + 59 = ?$
* Calculate: $19 + 12 = 31$, and $31 + 59 = 90$
*
Missing number: 90
Final Answer:
The missing numbers are:
Row 1: 60, 55, 6
Row 2: 11, 58, 50
Row 3: 19, 53, 90
Parent Tip: Review the logic above to help your child master the concept of mathematics puzzle worksheets.
