1000 Bingo Cards Pdf Download, 1, 2, and 4 per Page, Large Print ... - Free Printable
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Step-by-step solution for: 1000 Bingo Cards Pdf Download, 1, 2, and 4 per Page, Large Print ...
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Show Answer Key & Explanations
Step-by-step solution for: 1000 Bingo Cards Pdf Download, 1, 2, and 4 per Page, Large Print ...
Final Answer:
The task is to identify the common numbers across all four Bingo cards.
Let’s list all numbers from each card (ignoring “FREE”):
Card 1:
11, 18, 35, 55, 66,
6, 17, 43, 53, 74,
10, 20, 48, 67,
14, 26, 38, 56, 65,
9, 25, 40, 59, 70
Card 2:
12, 18, 41, 59, 70,
5, 17, 37, 46, 73,
10, 24, 50, 64,
4, 26, 32, 49, 63,
9, 30, 38, 48, 72
Card 3:
4, 23, 34, 59, 69,
7, 16, 45, 60, 62,
12, 29, 49, 66,
5, 26, 42, 53, 70,
1, 17, 31, 55, 64
Card 4:
11, 27, 35, 58, 69,
3, 25, 40, 49, 70,
1, 16, 54, 64,
4, 23, 33, 53, 63,
9, 17, 31, 60, 73
Now find numbers present in all four lists:
Check candidate numbers that appear often:
- 17 → Card 1: yes, Card 2: yes, Card 3: yes, Card 4: yes ✔
- 26 → Card 1: yes, Card 2: yes, Card 3: yes, Card 4: no ✘
- 49 → Card 1: no ✘
- 53 → Card 1: yes, Card 2: no ✘
- 59 → Card 1: yes, Card 2: yes, Card 3: yes, Card 4: no ✘
- 70 → Card 1: yes, Card 2: yes, Card 3: yes, Card 4: yes ✔
- 4 → Card 1: no ✘
- 9 → Card 1: yes, Card 2: yes, Card 3: no ✘
- 64 → Card 1: no ✘
- 1 → Card 1: no ✘
- 31 → Card 1: no ✘
- 16 → Card 1: no ✘
- 25 → Card 1: yes, Card 2: no ✘
- 40 → Card 1: yes, Card 2: no ✘
- 48 → Card 1: yes, Card 2: yes, Card 3: no ✘
- 38 → Card 1: yes, Card 2: yes, Card 3: no ✘
Only 17 and 70 appear on all four cards.
Wait — double-check Card 4 for 70: Yes, row 2: 3, 25, 40, 49, 70 ✔
Card 3: last row has 70? No — Card 3 rows:
- Row 1: 4,23,34,59,69
- Row 2: 7,16,45,60,62
- Row 3: 12,29,FREE,49,66
- Row 4: 5,26,42,53,70 ✔ Yes, 70 is there.
Card 2: last row: 9,30,38,48,72 — no 70? Wait! Card 2 row 1: 12,18,41,59,70 ✔ Yes.
Card 1: last row: 9,25,40,59,70 ✔
So 70 is in all four.
17:
Card 1: row 2, col 2 → 17 ✔
Card 2: row 2, col 2 → 17 ✔
Card 3: last row, col 2 → 17 ✔
Card 4: last row, col 2 → 17 ✔
Any others?
Check 53:
Card 1: row 2, col 5 → 53 ✔
Card 2: no 53 ✘
So no.
Check 4:
Card 1: no
Card 2: row 4, col 1 → 4 ✔
Card 3: row 1, col 1 → 4 ✔
Card 4: row 4, col 1 → 4 ✔
But Card 1 has no 4 → exclude.
So only two numbers: 17 and 70
But the problem likely asks: *Which number appears on all four cards?* — possibly expecting one answer. Let’s verify once more carefully.
List all numbers per card explicitly:
Card 1 numbers:
11, 18, 35, 55, 66,
6, 17, 43, 53, 74,
10, 20, 48, 67,
14, 26, 38, 56, 65,
9, 25, 40, 59, 70
→ Set A = {6,9,10,11,14,17,18,20,25,26,35,38,40,43,48,53,55,56,59,65,66,67,70,74}
Card 2:
12,18,41,59,70,
5,17,37,46,73,
10,24,50,64,
4,26,32,49,63,
9,30,38,48,72
→ Set B = {4,5,9,10,12,17,18,24,26,30,32,37,38,41,46,48,49,50,59,63,64,70,72,73}
Card 3:
4,23,34,59,69,
7,16,45,60,62,
12,29,49,66,
5,26,42,53,70,
1,17,31,55,64
→ Set C = {1,4,5,7,12,16,17,23,26,29,31,34,42,45,49,53,55,59,60,62,64,66,69,70}
Card 4:
11,27,35,58,69,
3,25,40,49,70,
1,16,54,64,
4,23,33,53,63,
9,17,31,60,73
→ Set D = {1,3,4,9,11,16,17,23,25,27,31,33,35,40,49,53,54,58,60,63,64,69,70,73}
Now compute intersection: A ∩ B ∩ C ∩ D
First A ∩ B:
Common in A and B:
9,10,17,18,26,38,48,59,70
(Also 6? no in B; 11? no in B; etc)
A ∩ B = {9,10,17,18,26,38,48,59,70}
Now intersect with C:
Check each:
- 9 ∈ C? No
- 10 ∈ C? No
- 17 ∈ C? Yes
- 18 ∈ C? No
- 26 ∈ C? Yes
- 38 ∈ C? No
- 48 ∈ C? No
- 59 ∈ C? Yes
- 70 ∈ C? Yes
So (A∩B)∩C = {17, 26, 59, 70}
Now intersect with D:
- 17 ∈ D? Yes
- 26 ∈ D? No (D has 25, 27, but not 26)
- 59 ∈ D? No (D has 58, 53, but not 59)
- 70 ∈ D? Yes
Thus final intersection = {17, 70}
So two numbers appear on all four cards: 17 and 70.
But the problem may expect listing them. Since no specific question text was given, and typical such tasks ask: “Which numbers appear on all four cards?” — answer is 17 and 70.
However, if only one answer is allowed (e.g., multiple choice with single), but here no options — safest to give both.
Given instructions: “Provide only the final correct answer.” — so list them.
Final Answer:
17 and 70
The task is to identify the common numbers across all four Bingo cards.
Let’s list all numbers from each card (ignoring “FREE”):
Card 1:
11, 18, 35, 55, 66,
6, 17, 43, 53, 74,
10, 20, 48, 67,
14, 26, 38, 56, 65,
9, 25, 40, 59, 70
Card 2:
12, 18, 41, 59, 70,
5, 17, 37, 46, 73,
10, 24, 50, 64,
4, 26, 32, 49, 63,
9, 30, 38, 48, 72
Card 3:
4, 23, 34, 59, 69,
7, 16, 45, 60, 62,
12, 29, 49, 66,
5, 26, 42, 53, 70,
1, 17, 31, 55, 64
Card 4:
11, 27, 35, 58, 69,
3, 25, 40, 49, 70,
1, 16, 54, 64,
4, 23, 33, 53, 63,
9, 17, 31, 60, 73
Now find numbers present in all four lists:
Check candidate numbers that appear often:
- 17 → Card 1: yes, Card 2: yes, Card 3: yes, Card 4: yes ✔
- 26 → Card 1: yes, Card 2: yes, Card 3: yes, Card 4: no ✘
- 49 → Card 1: no ✘
- 53 → Card 1: yes, Card 2: no ✘
- 59 → Card 1: yes, Card 2: yes, Card 3: yes, Card 4: no ✘
- 70 → Card 1: yes, Card 2: yes, Card 3: yes, Card 4: yes ✔
- 4 → Card 1: no ✘
- 9 → Card 1: yes, Card 2: yes, Card 3: no ✘
- 64 → Card 1: no ✘
- 1 → Card 1: no ✘
- 31 → Card 1: no ✘
- 16 → Card 1: no ✘
- 25 → Card 1: yes, Card 2: no ✘
- 40 → Card 1: yes, Card 2: no ✘
- 48 → Card 1: yes, Card 2: yes, Card 3: no ✘
- 38 → Card 1: yes, Card 2: yes, Card 3: no ✘
Only 17 and 70 appear on all four cards.
Wait — double-check Card 4 for 70: Yes, row 2: 3, 25, 40, 49, 70 ✔
Card 3: last row has 70? No — Card 3 rows:
- Row 1: 4,23,34,59,69
- Row 2: 7,16,45,60,62
- Row 3: 12,29,FREE,49,66
- Row 4: 5,26,42,53,70 ✔ Yes, 70 is there.
Card 2: last row: 9,30,38,48,72 — no 70? Wait! Card 2 row 1: 12,18,41,59,70 ✔ Yes.
Card 1: last row: 9,25,40,59,70 ✔
So 70 is in all four.
17:
Card 1: row 2, col 2 → 17 ✔
Card 2: row 2, col 2 → 17 ✔
Card 3: last row, col 2 → 17 ✔
Card 4: last row, col 2 → 17 ✔
Any others?
Check 53:
Card 1: row 2, col 5 → 53 ✔
Card 2: no 53 ✘
So no.
Check 4:
Card 1: no
Card 2: row 4, col 1 → 4 ✔
Card 3: row 1, col 1 → 4 ✔
Card 4: row 4, col 1 → 4 ✔
But Card 1 has no 4 → exclude.
So only two numbers: 17 and 70
But the problem likely asks: *Which number appears on all four cards?* — possibly expecting one answer. Let’s verify once more carefully.
List all numbers per card explicitly:
Card 1 numbers:
11, 18, 35, 55, 66,
6, 17, 43, 53, 74,
10, 20, 48, 67,
14, 26, 38, 56, 65,
9, 25, 40, 59, 70
→ Set A = {6,9,10,11,14,17,18,20,25,26,35,38,40,43,48,53,55,56,59,65,66,67,70,74}
Card 2:
12,18,41,59,70,
5,17,37,46,73,
10,24,50,64,
4,26,32,49,63,
9,30,38,48,72
→ Set B = {4,5,9,10,12,17,18,24,26,30,32,37,38,41,46,48,49,50,59,63,64,70,72,73}
Card 3:
4,23,34,59,69,
7,16,45,60,62,
12,29,49,66,
5,26,42,53,70,
1,17,31,55,64
→ Set C = {1,4,5,7,12,16,17,23,26,29,31,34,42,45,49,53,55,59,60,62,64,66,69,70}
Card 4:
11,27,35,58,69,
3,25,40,49,70,
1,16,54,64,
4,23,33,53,63,
9,17,31,60,73
→ Set D = {1,3,4,9,11,16,17,23,25,27,31,33,35,40,49,53,54,58,60,63,64,69,70,73}
Now compute intersection: A ∩ B ∩ C ∩ D
First A ∩ B:
Common in A and B:
9,10,17,18,26,38,48,59,70
(Also 6? no in B; 11? no in B; etc)
A ∩ B = {9,10,17,18,26,38,48,59,70}
Now intersect with C:
Check each:
- 9 ∈ C? No
- 10 ∈ C? No
- 17 ∈ C? Yes
- 18 ∈ C? No
- 26 ∈ C? Yes
- 38 ∈ C? No
- 48 ∈ C? No
- 59 ∈ C? Yes
- 70 ∈ C? Yes
So (A∩B)∩C = {17, 26, 59, 70}
Now intersect with D:
- 17 ∈ D? Yes
- 26 ∈ D? No (D has 25, 27, but not 26)
- 59 ∈ D? No (D has 58, 53, but not 59)
- 70 ∈ D? Yes
Thus final intersection = {17, 70}
So two numbers appear on all four cards: 17 and 70.
But the problem may expect listing them. Since no specific question text was given, and typical such tasks ask: “Which numbers appear on all four cards?” — answer is 17 and 70.
However, if only one answer is allowed (e.g., multiple choice with single), but here no options — safest to give both.
Given instructions: “Provide only the final correct answer.” — so list them.
Final Answer:
17 and 70
Parent Tip: Review the logic above to help your child master the concept of printable bingo board games.