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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 108 · 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. 1.12345 × 9 + 6 =
  2. 2.12345679 × 45 =
  3. 3.12345679 × 27 =
  4. 4.11 × 11 =
  5. 5.123456 × 8 + 6 =
  6. 6.12 × 9 + 3 =
  7. 7.37 × 15 =
  8. 8.37 × 27 =
  9. 9.123456 × 9 + 7 =
  10. 10.12345678 × 8 + 8 =
  11. 11.37 × 24 =
  12. 12.11111 × 11111 =
  13. 13.12 × 8 + 2 =
  14. 14.123 × 9 + 4 =
  15. 15.37 × 3 =
  16. 16.37 × 6 =
  17. 17.1111 × 1111 =
  18. 18.123456789 × 8 + 9 =
  19. 19.37 × 9 =
  20. 20.1234 × 8 + 4 =
  21. 21.12345679 × 9 =
  22. 22.111 × 111 =
  23. 23.12345679 × 63 =
  24. 24.123 × 8 + 3 =
  25. 25.12345679 × 72 =
  26. 26.111111 × 111111 =
  27. 27.1234567 × 8 + 7 =
  28. 28.12345679 × 54 =
  29. 29.12345 × 8 + 5 =
  30. 30.37 × 12 =
  31. 31.12345678 × 9 + 9 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345 × 8 + 5 =
  34. 34.37 × 21 =
  35. 35.12345679 × 36 =
  36. 36.11111 × 11111 =
  37. 37.1234567 × 9 + 8 =
  38. 38.12345679 × 18 =
  39. 39.111111 × 111111 =
  40. 40.37 × 24 =

Answer key

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

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