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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 866 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.11 × 11 =
  2. 2.12345679 × 36 =
  3. 3.111 × 111 =
  4. 4.37 × 3 =
  5. 5.37 × 21 =
  6. 6.1111 × 1111 =
  7. 7.12345679 × 81 =
  8. 8.12345679 × 63 =
  9. 9.12345679 × 72 =
  10. 10.12345678 × 9 + 9 =
  11. 11.12345679 × 18 =
  12. 12.12345679 × 9 =
  13. 13.37 × 15 =
  14. 14.11111 × 11111 =
  15. 15.37 × 6 =
  16. 16.1234 × 9 + 5 =
  17. 17.111111 × 111111 =
  18. 18.123 × 9 + 4 =
  19. 19.1234 × 8 + 4 =
  20. 20.1234567 × 9 + 8 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345678 × 8 + 8 =
  23. 23.37 × 12 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345679 × 54 =
  26. 26.12 × 9 + 3 =
  27. 27.12 × 8 + 2 =
  28. 28.37 × 18 =
  29. 29.123 × 8 + 3 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345679 × 45 =
  32. 32.123456789 × 8 + 9 =
  33. 33.37 × 9 =
  34. 34.12345679 × 36 =
  35. 35.37 × 21 =
  36. 36.12345 × 8 + 5 =
  37. 37.37 × 27 =
  38. 38.37 × 27 =
  39. 39.37 × 24 =
  40. 40.12345 × 9 + 6 =

Answer key

  1. 121
  2. 444444444
  3. 12321
  4. 111
  5. 777
  6. 1234321
  7. 999999999
  8. 777777777
  9. 888888888
  10. 111111111
  11. 222222222
  12. 111111111
  13. 555
  14. 123454321
  15. 222
  16. 11111
  17. 12345654321
  18. 1111
  19. 9876
  20. 11111111
  21. 1111111
  22. 98765432
  23. 444
  24. 987654
  25. 666666666
  26. 111
  27. 98
  28. 666
  29. 987
  30. 9876543
  31. 555555555
  32. 987654321
  33. 333
  34. 444444444
  35. 777
  36. 98765
  37. 999
  38. 999
  39. 888
  40. 111111

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