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Swap with Unknown Total - Absolute-Beginner Level: core concept mastery Swap with Unknown Total ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Swap with Unknown Total - a key topic in Number Ranking. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master swap with unknown total problems, swap with unknown total reasoning questions, and swap with unknown total practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Swap with Unknown Total
Worksheet 1 of 10 (0% complete)

Question 1

In a row, A and B interchange positions. After interchange, A is 11th from left and B is 17th from left. If originally A was 9th from left, how many people are in the row?
Distance A moved = 2 positions. B moved same distance, so B's original position = 15. Total = B's original left position + (new_left_A - 1) = 19

Question 2

In a row, A and B interchange positions. After interchange, A is 12th from left and B is 15th from left. If originally A was 4th from left, how many people are in the row?
Distance A moved = 8 positions. B moved same distance, so B's original position = 7. Total = B's original left position + (new_left_A - 1) = 23

Question 3

In a row, A and B interchange positions. After interchange, A is 8th from left and B is 12th from left. If originally A was 3th from left, how many people are in the row?
Distance A moved = 5 positions. B moved same distance, so B's original position = 7. Total = B's original left position + (new_left_A - 1) = 17

Question 4

In a row, A and B interchange positions. After interchange, A is 11th from left and B is 17th from left. If originally A was 9th from left, how many people are in the row?
Distance A moved = 2 positions. B moved same distance, so B's original position = 15. Total = B's original left position + (new_left_A - 1) = 19

Question 5

In a row, A and B interchange positions. After interchange, A is 13th from left and B is 23th from left. If originally A was 11th from left, how many people are in the row?
Distance A moved = 2 positions. B moved same distance, so B's original position = 21. Total = B's original left position + (new_left_A - 1) = 25

Question 6

In a row, A and B interchange positions. After interchange, A is 8th from left and B is 11th from left. If originally A was 5th from left, how many people are in the row?
Distance A moved = 3 positions. B moved same distance, so B's original position = 8. Total = B's original left position + (new_left_A - 1) = 14

Question 7

In a row, A and B interchange positions. After interchange, A is 10th from left and B is 14th from left. If originally A was 8th from left, how many people are in the row?
Distance A moved = 2 positions. B moved same distance, so B's original position = 12. Total = B's original left position + (new_left_A - 1) = 16

Question 8

In a row, A and B interchange positions. After interchange, A is 14th from left and B is 22th from left. If originally A was 5th from left, how many people are in the row?
Distance A moved = 9 positions. B moved same distance, so B's original position = 13. Total = B's original left position + (new_left_A - 1) = 31

Question 9

In a row, A and B interchange positions. After interchange, A is 15th from left and B is 24th from left. If originally A was 13th from left, how many people are in the row?
Distance A moved = 2 positions. B moved same distance, so B's original position = 22. Total = B's original left position + (new_left_A - 1) = 26

Question 10

In a row, A and B interchange positions. After interchange, A is 12th from left and B is 19th from left. If originally A was 7th from left, how many people are in the row?
Distance A moved = 5 positions. B moved same distance, so B's original position = 14. Total = B's original left position + (new_left_A - 1) = 24

Question 11

In a row, A and B interchange positions. After interchange, A is 10th from left and B is 15th from left. If originally A was 4th from left, how many people are in the row?
Distance A moved = 6 positions. B moved same distance, so B's original position = 9. Total = B's original left position + (new_left_A - 1) = 21

Question 12

In a row, A and B interchange positions. After interchange, A is 11th from left and B is 14th from left. If originally A was 3th from left, how many people are in the row?
Distance A moved = 8 positions. B moved same distance, so B's original position = 6. Total = B's original left position + (new_left_A - 1) = 22

Question 13

In a row, A and B interchange positions. After interchange, A is 9th from left and B is 16th from left. If originally A was 5th from left, how many people are in the row?
Distance A moved = 4 positions. B moved same distance, so B's original position = 12. Total = B's original left position + (new_left_A - 1) = 20

Question 14

In a row, A and B interchange positions. After interchange, A is 13th from left and B is 23th from left. If originally A was 6th from left, how many people are in the row?
Distance A moved = 7 positions. B moved same distance, so B's original position = 16. Total = B's original left position + (new_left_A - 1) = 30

Question 15

In a row, A and B interchange positions. After interchange, A is 8th from left and B is 18th from left. If originally A was 5th from left, how many people are in the row?
Distance A moved = 3 positions. B moved same distance, so B's original position = 15. Total = B's original left position + (new_left_A - 1) = 21

Question 16

In a row, A and B interchange positions. After interchange, A is 8th from left and B is 15th from left. If originally A was 6th from left, how many people are in the row?
Distance A moved = 2 positions. B moved same distance, so B's original position = 13. Total = B's original left position + (new_left_A - 1) = 17

Question 17

In a row, A and B interchange positions. After interchange, A is 15th from left and B is 23th from left. If originally A was 10th from left, how many people are in the row?
Distance A moved = 5 positions. B moved same distance, so B's original position = 18. Total = B's original left position + (new_left_A - 1) = 28

Question 18

In a row, A and B interchange positions. After interchange, A is 10th from left and B is 15th from left. If originally A was 4th from left, how many people are in the row?
Distance A moved = 6 positions. B moved same distance, so B's original position = 9. Total = B's original left position + (new_left_A - 1) = 21

Question 19

In a row, A and B interchange positions. After interchange, A is 11th from left and B is 14th from left. If originally A was 8th from left, how many people are in the row?
Distance A moved = 3 positions. B moved same distance, so B's original position = 11. Total = B's original left position + (new_left_A - 1) = 17

Question 20

In a row, A and B interchange positions. After interchange, A is 11th from left and B is 20th from left. If originally A was 8th from left, how many people are in the row?
Distance A moved = 3 positions. B moved same distance, so B's original position = 17. Total = B's original left position + (new_left_A - 1) = 23
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