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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 228 · 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. 1.12345679 × 81 =
  2. 2.12345 × 9 + 6 =
  3. 3.37 × 12 =
  4. 4.11111 × 11111 =
  5. 5.11 × 11 =
  6. 6.1111 × 1111 =
  7. 7.37 × 9 =
  8. 8.1234 × 9 + 5 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12 × 9 + 3 =
  11. 11.111 × 111 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12 × 8 + 2 =
  14. 14.111111 × 111111 =
  15. 15.37 × 21 =
  16. 16.12345679 × 72 =
  17. 17.12345679 × 18 =
  18. 18.12345678 × 9 + 9 =
  19. 19.12345679 × 63 =
  20. 20.37 × 3 =
  21. 21.37 × 15 =
  22. 22.12345679 × 9 =
  23. 23.12345679 × 45 =
  24. 24.12345679 × 54 =
  25. 25.1234567 × 9 + 8 =
  26. 26.123 × 9 + 4 =
  27. 27.12345 × 8 + 5 =
  28. 28.37 × 9 =
  29. 29.123456 × 9 + 7 =
  30. 30.123 × 8 + 3 =
  31. 31.37 × 24 =
  32. 32.1234 × 8 + 4 =
  33. 33.123456 × 8 + 6 =
  34. 34.37 × 6 =
  35. 35.1234567 × 8 + 7 =
  36. 36.12345679 × 36 =
  37. 37.37 × 27 =
  38. 38.12345679 × 18 =
  39. 39.12345679 × 27 =
  40. 40.12345679 × 72 =

Answer key

  1. 999999999
  2. 111111
  3. 444
  4. 123454321
  5. 121
  6. 1234321
  7. 333
  8. 11111
  9. 987654321
  10. 111
  11. 12321
  12. 98765432
  13. 98
  14. 12345654321
  15. 777
  16. 888888888
  17. 222222222
  18. 111111111
  19. 777777777
  20. 111
  21. 555
  22. 111111111
  23. 555555555
  24. 666666666
  25. 11111111
  26. 1111
  27. 98765
  28. 333
  29. 1111111
  30. 987
  31. 888
  32. 9876
  33. 987654
  34. 222
  35. 9876543
  36. 444444444
  37. 999
  38. 222222222
  39. 333333333
  40. 888888888

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