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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 313 · 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. 1.37 × 15 =
  2. 2.111111 × 111111 =
  3. 3.1234 × 8 + 4 =
  4. 4.11 × 11 =
  5. 5.111 × 111 =
  6. 6.37 × 6 =
  7. 7.37 × 18 =
  8. 8.123456 × 9 + 7 =
  9. 9.12 × 8 + 2 =
  10. 10.1111 × 1111 =
  11. 11.37 × 12 =
  12. 12.12345679 × 18 =
  13. 13.37 × 3 =
  14. 14.12345678 × 8 + 8 =
  15. 15.12 × 9 + 3 =
  16. 16.12345679 × 45 =
  17. 17.37 × 21 =
  18. 18.123 × 8 + 3 =
  19. 19.12345679 × 36 =
  20. 20.1234567 × 9 + 8 =
  21. 21.12345679 × 54 =
  22. 22.37 × 9 =
  23. 23.12345 × 8 + 5 =
  24. 24.12345678 × 9 + 9 =
  25. 25.123 × 9 + 4 =
  26. 26.12345 × 9 + 6 =
  27. 27.1234 × 9 + 5 =
  28. 28.37 × 24 =
  29. 29.12345679 × 63 =
  30. 30.12345679 × 27 =
  31. 31.123456 × 8 + 6 =
  32. 32.12345679 × 81 =
  33. 33.11111 × 11111 =
  34. 34.37 × 27 =
  35. 35.12345679 × 36 =
  36. 36.12345679 × 72 =
  37. 37.12345679 × 9 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345679 × 81 =
  40. 40.123456 × 8 + 6 =

Answer key

  1. 555
  2. 12345654321
  3. 9876
  4. 121
  5. 12321
  6. 222
  7. 666
  8. 1111111
  9. 98
  10. 1234321
  11. 444
  12. 222222222
  13. 111
  14. 98765432
  15. 111
  16. 555555555
  17. 777
  18. 987
  19. 444444444
  20. 11111111
  21. 666666666
  22. 333
  23. 98765
  24. 111111111
  25. 1111
  26. 111111
  27. 11111
  28. 888
  29. 777777777
  30. 333333333
  31. 987654
  32. 999999999
  33. 123454321
  34. 999
  35. 444444444
  36. 888888888
  37. 111111111
  38. 9876543
  39. 999999999
  40. 987654

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