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Subjective Questions

The Other Side of Zero

The Other Side of Zero · Class 6 Mathematics

Practise 50 short and long answer questions on The Other Side of Zero from The Other Side of Zero. Try writing your own answer first, then tap the question to compare it with the model answer and read the explanation behind it.

Practise MCQs for this section All sections
1 A lift is at floor -1. It moves 1 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -1. - Step 2: Movement = 1. - Step 3: Final position = -1 + (1) = 0.
  • Step 1: Starting position = -1.
  • Step 2: Movement = 1.
  • Step 3: Final position = -1 + (1) = 0.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

2 A lift is at floor 2. It moves 2 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 2. - Step 2: Movement = -2. - Step 3: Final position = 2 + (-2) = 0.
  • Step 1: Starting position = 2.
  • Step 2: Movement = -2.
  • Step 3: Final position = 2 + (-2) = 0.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

3 A lift is at floor -3. It moves 2 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -3. - Step 2: Movement = 2. - Step 3: Final position = -3 + (2) = -1.
  • Step 1: Starting position = -3.
  • Step 2: Movement = 2.
  • Step 3: Final position = -3 + (2) = -1.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

4 A lift is at floor 4. It moves 3 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 4. - Step 2: Movement = -3. - Step 3: Final position = 4 + (-3) = 1.
  • Step 1: Starting position = 4.
  • Step 2: Movement = -3.
  • Step 3: Final position = 4 + (-3) = 1.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

5 A lift is at floor -5. It moves 3 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -5. - Step 2: Movement = 3. - Step 3: Final position = -5 + (3) = -2.
  • Step 1: Starting position = -5.
  • Step 2: Movement = 3.
  • Step 3: Final position = -5 + (3) = -2.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

6 A lift is at floor 6. It moves 4 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 6. - Step 2: Movement = -4. - Step 3: Final position = 6 + (-4) = 2.
  • Step 1: Starting position = 6.
  • Step 2: Movement = -4.
  • Step 3: Final position = 6 + (-4) = 2.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

7 A lift is at floor -7. It moves 4 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -7. - Step 2: Movement = 4. - Step 3: Final position = -7 + (4) = -3.
  • Step 1: Starting position = -7.
  • Step 2: Movement = 4.
  • Step 3: Final position = -7 + (4) = -3.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

8 A lift is at floor 8. It moves 5 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 8. - Step 2: Movement = -5. - Step 3: Final position = 8 + (-5) = 3.
  • Step 1: Starting position = 8.
  • Step 2: Movement = -5.
  • Step 3: Final position = 8 + (-5) = 3.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

9 A lift is at floor -9. It moves 5 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -9. - Step 2: Movement = 5. - Step 3: Final position = -9 + (5) = -4.
  • Step 1: Starting position = -9.
  • Step 2: Movement = 5.
  • Step 3: Final position = -9 + (5) = -4.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

10 A lift is at floor 10. It moves 6 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 10. - Step 2: Movement = -6. - Step 3: Final position = 10 + (-6) = 4.
  • Step 1: Starting position = 10.
  • Step 2: Movement = -6.
  • Step 3: Final position = 10 + (-6) = 4.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

11 A lift is at floor -11. It moves 6 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -11. - Step 2: Movement = 6. - Step 3: Final position = -11 + (6) = -5.
  • Step 1: Starting position = -11.
  • Step 2: Movement = 6.
  • Step 3: Final position = -11 + (6) = -5.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

12 A lift is at floor 12. It moves 7 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 12. - Step 2: Movement = -7. - Step 3: Final position = 12 + (-7) = 5.
  • Step 1: Starting position = 12.
  • Step 2: Movement = -7.
  • Step 3: Final position = 12 + (-7) = 5.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

13 A lift is at floor -13. It moves 7 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -13. - Step 2: Movement = 7. - Step 3: Final position = -13 + (7) = -6.
  • Step 1: Starting position = -13.
  • Step 2: Movement = 7.
  • Step 3: Final position = -13 + (7) = -6.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

14 A lift is at floor 14. It moves 8 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 14. - Step 2: Movement = -8. - Step 3: Final position = 14 + (-8) = 6.
  • Step 1: Starting position = 14.
  • Step 2: Movement = -8.
  • Step 3: Final position = 14 + (-8) = 6.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

15 A lift is at floor -15. It moves 8 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -15. - Step 2: Movement = 8. - Step 3: Final position = -15 + (8) = -7.
  • Step 1: Starting position = -15.
  • Step 2: Movement = 8.
  • Step 3: Final position = -15 + (8) = -7.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

16 A lift is at floor 16. It moves 9 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 16. - Step 2: Movement = -9. - Step 3: Final position = 16 + (-9) = 7.
  • Step 1: Starting position = 16.
  • Step 2: Movement = -9.
  • Step 3: Final position = 16 + (-9) = 7.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

17 A lift is at floor -17. It moves 9 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -17. - Step 2: Movement = 9. - Step 3: Final position = -17 + (9) = -8.
  • Step 1: Starting position = -17.
  • Step 2: Movement = 9.
  • Step 3: Final position = -17 + (9) = -8.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

18 A lift is at floor 18. It moves 10 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 18. - Step 2: Movement = -10. - Step 3: Final position = 18 + (-10) = 8.
  • Step 1: Starting position = 18.
  • Step 2: Movement = -10.
  • Step 3: Final position = 18 + (-10) = 8.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

19 A lift is at floor -19. It moves 10 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -19. - Step 2: Movement = 10. - Step 3: Final position = -19 + (10) = -9.
  • Step 1: Starting position = -19.
  • Step 2: Movement = 10.
  • Step 3: Final position = -19 + (10) = -9.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

20 A lift is at floor 20. It moves 11 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 20. - Step 2: Movement = -11. - Step 3: Final position = 20 + (-11) = 9.
  • Step 1: Starting position = 20.
  • Step 2: Movement = -11.
  • Step 3: Final position = 20 + (-11) = 9.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

21 A lift is at floor -21. It moves 11 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -21. - Step 2: Movement = 11. - Step 3: Final position = -21 + (11) = -10.
  • Step 1: Starting position = -21.
  • Step 2: Movement = 11.
  • Step 3: Final position = -21 + (11) = -10.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

22 A lift is at floor 22. It moves 12 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 22. - Step 2: Movement = -12. - Step 3: Final position = 22 + (-12) = 10.
  • Step 1: Starting position = 22.
  • Step 2: Movement = -12.
  • Step 3: Final position = 22 + (-12) = 10.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

23 A lift is at floor -23. It moves 12 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -23. - Step 2: Movement = 12. - Step 3: Final position = -23 + (12) = -11.
  • Step 1: Starting position = -23.
  • Step 2: Movement = 12.
  • Step 3: Final position = -23 + (12) = -11.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

24 A lift is at floor 24. It moves 13 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 24. - Step 2: Movement = -13. - Step 3: Final position = 24 + (-13) = 11.
  • Step 1: Starting position = 24.
  • Step 2: Movement = -13.
  • Step 3: Final position = 24 + (-13) = 11.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

25 A lift is at floor -25. It moves 13 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -25. - Step 2: Movement = 13. - Step 3: Final position = -25 + (13) = -12.
  • Step 1: Starting position = -25.
  • Step 2: Movement = 13.
  • Step 3: Final position = -25 + (13) = -12.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

26 A lift is at floor 26. It moves 14 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 26. - Step 2: Movement = -14. - Step 3: Final position = 26 + (-14) = 12.
  • Step 1: Starting position = 26.
  • Step 2: Movement = -14.
  • Step 3: Final position = 26 + (-14) = 12.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

27 A lift is at floor -27. It moves 14 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -27. - Step 2: Movement = 14. - Step 3: Final position = -27 + (14) = -13.
  • Step 1: Starting position = -27.
  • Step 2: Movement = 14.
  • Step 3: Final position = -27 + (14) = -13.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

28 A lift is at floor 28. It moves 15 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 28. - Step 2: Movement = -15. - Step 3: Final position = 28 + (-15) = 13.
  • Step 1: Starting position = 28.
  • Step 2: Movement = -15.
  • Step 3: Final position = 28 + (-15) = 13.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

29 A lift is at floor -29. It moves 15 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -29. - Step 2: Movement = 15. - Step 3: Final position = -29 + (15) = -14.
  • Step 1: Starting position = -29.
  • Step 2: Movement = 15.
  • Step 3: Final position = -29 + (15) = -14.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

30 A lift is at floor 30. It moves 16 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 30. - Step 2: Movement = -16. - Step 3: Final position = 30 + (-16) = 14.
  • Step 1: Starting position = 30.
  • Step 2: Movement = -16.
  • Step 3: Final position = 30 + (-16) = 14.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

31 A lift is at floor -31. It moves 16 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -31. - Step 2: Movement = 16. - Step 3: Final position = -31 + (16) = -15.
  • Step 1: Starting position = -31.
  • Step 2: Movement = 16.
  • Step 3: Final position = -31 + (16) = -15.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

32 A lift is at floor 32. It moves 17 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 32. - Step 2: Movement = -17. - Step 3: Final position = 32 + (-17) = 15.
  • Step 1: Starting position = 32.
  • Step 2: Movement = -17.
  • Step 3: Final position = 32 + (-17) = 15.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

33 A lift is at floor -33. It moves 17 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -33. - Step 2: Movement = 17. - Step 3: Final position = -33 + (17) = -16.
  • Step 1: Starting position = -33.
  • Step 2: Movement = 17.
  • Step 3: Final position = -33 + (17) = -16.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

34 A lift is at floor 34. It moves 18 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 34. - Step 2: Movement = -18. - Step 3: Final position = 34 + (-18) = 16.
  • Step 1: Starting position = 34.
  • Step 2: Movement = -18.
  • Step 3: Final position = 34 + (-18) = 16.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

35 A lift is at floor -35. It moves 18 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -35. - Step 2: Movement = 18. - Step 3: Final position = -35 + (18) = -17.
  • Step 1: Starting position = -35.
  • Step 2: Movement = 18.
  • Step 3: Final position = -35 + (18) = -17.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

36 A lift is at floor 36. It moves 19 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 36. - Step 2: Movement = -19. - Step 3: Final position = 36 + (-19) = 17.
  • Step 1: Starting position = 36.
  • Step 2: Movement = -19.
  • Step 3: Final position = 36 + (-19) = 17.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

37 A lift is at floor -37. It moves 19 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -37. - Step 2: Movement = 19. - Step 3: Final position = -37 + (19) = -18.
  • Step 1: Starting position = -37.
  • Step 2: Movement = 19.
  • Step 3: Final position = -37 + (19) = -18.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

38 A lift is at floor 38. It moves 20 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 38. - Step 2: Movement = -20. - Step 3: Final position = 38 + (-20) = 18.
  • Step 1: Starting position = 38.
  • Step 2: Movement = -20.
  • Step 3: Final position = 38 + (-20) = 18.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

39 A lift is at floor -39. It moves 20 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -39. - Step 2: Movement = 20. - Step 3: Final position = -39 + (20) = -19.
  • Step 1: Starting position = -39.
  • Step 2: Movement = 20.
  • Step 3: Final position = -39 + (20) = -19.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

40 A lift is at floor 40. It moves 21 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 40. - Step 2: Movement = -21. - Step 3: Final position = 40 + (-21) = 19.
  • Step 1: Starting position = 40.
  • Step 2: Movement = -21.
  • Step 3: Final position = 40 + (-21) = 19.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

41 A lift is at floor -41. It moves 21 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -41. - Step 2: Movement = 21. - Step 3: Final position = -41 + (21) = -20.
  • Step 1: Starting position = -41.
  • Step 2: Movement = 21.
  • Step 3: Final position = -41 + (21) = -20.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

42 A lift is at floor 42. It moves 22 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 42. - Step 2: Movement = -22. - Step 3: Final position = 42 + (-22) = 20.
  • Step 1: Starting position = 42.
  • Step 2: Movement = -22.
  • Step 3: Final position = 42 + (-22) = 20.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

43 A lift is at floor -43. It moves 22 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -43. - Step 2: Movement = 22. - Step 3: Final position = -43 + (22) = -21.
  • Step 1: Starting position = -43.
  • Step 2: Movement = 22.
  • Step 3: Final position = -43 + (22) = -21.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

44 A lift is at floor 44. It moves 23 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 44. - Step 2: Movement = -23. - Step 3: Final position = 44 + (-23) = 21.
  • Step 1: Starting position = 44.
  • Step 2: Movement = -23.
  • Step 3: Final position = 44 + (-23) = 21.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

45 A lift is at floor -45. It moves 23 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -45. - Step 2: Movement = 23. - Step 3: Final position = -45 + (23) = -22.
  • Step 1: Starting position = -45.
  • Step 2: Movement = 23.
  • Step 3: Final position = -45 + (23) = -22.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

46 A lift is at floor 46. It moves 24 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 46. - Step 2: Movement = -24. - Step 3: Final position = 46 + (-24) = 22.
  • Step 1: Starting position = 46.
  • Step 2: Movement = -24.
  • Step 3: Final position = 46 + (-24) = 22.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

47 A lift is at floor -47. It moves 24 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -47. - Step 2: Movement = 24. - Step 3: Final position = -47 + (24) = -23.
  • Step 1: Starting position = -47.
  • Step 2: Movement = 24.
  • Step 3: Final position = -47 + (24) = -23.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

48 A lift is at floor 48. It moves 25 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 48. - Step 2: Movement = -25. - Step 3: Final position = 48 + (-25) = 23.
  • Step 1: Starting position = 48.
  • Step 2: Movement = -25.
  • Step 3: Final position = 48 + (-25) = 23.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

49 A lift is at floor -49. It moves 25 floors up. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = -49. - Step 2: Movement = 25. - Step 3: Final position = -49 + (25) = -24.
  • Step 1: Starting position = -49.
  • Step 2: Movement = 25.
  • Step 3: Final position = -49 + (25) = -24.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

50 A lift is at floor 50. It moves 26 floors down. Represent the movement with integers and find its final position. 3 marks
Model answer
  • Step 1: Starting position = 50. - Step 2: Movement = -26. - Step 3: Final position = 50 + (-26) = 24.
  • Step 1: Starting position = 50.
  • Step 2: Movement = -26.
  • Step 3: Final position = 50 + (-26) = 24.
Explanation

Positive integers represent positions or movements above the reference level and negative integers represent those below it.

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