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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 721 · 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. 2.12 × 8 + 2 =
  3. 3.123 × 9 + 4 =
  4. 4.123456 × 8 + 6 =
  5. 5.111 × 111 =
  6. 6.11111 × 11111 =
  7. 7.12345 × 8 + 5 =
  8. 8.1111 × 1111 =
  9. 9.37 × 6 =
  10. 10.12345679 × 27 =
  11. 11.12345679 × 72 =
  12. 12.111111 × 111111 =
  13. 13.123456 × 9 + 7 =
  14. 14.12345679 × 63 =
  15. 15.11 × 11 =
  16. 16.12345679 × 81 =
  17. 17.37 × 3 =
  18. 18.1234567 × 8 + 7 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345678 × 9 + 9 =
  21. 21.12 × 9 + 3 =
  22. 22.37 × 21 =
  23. 23.12345679 × 18 =
  24. 24.37 × 18 =
  25. 25.1234 × 9 + 5 =
  26. 26.12345679 × 9 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12345679 × 45 =
  29. 29.37 × 12 =
  30. 30.12345 × 9 + 6 =
  31. 31.123 × 8 + 3 =
  32. 32.12345679 × 36 =
  33. 33.1234567 × 9 + 8 =
  34. 34.12345679 × 54 =
  35. 35.37 × 9 =
  36. 36.1234 × 8 + 4 =
  37. 37.37 × 27 =
  38. 38.111 × 111 =
  39. 39.1111 × 1111 =
  40. 40.1234567 × 8 + 7 =

Answer key

  1. 555
  2. 98
  3. 1111
  4. 987654
  5. 12321
  6. 123454321
  7. 98765
  8. 1234321
  9. 222
  10. 333333333
  11. 888888888
  12. 12345654321
  13. 1111111
  14. 777777777
  15. 121
  16. 999999999
  17. 111
  18. 9876543
  19. 987654321
  20. 111111111
  21. 111
  22. 777
  23. 222222222
  24. 666
  25. 11111
  26. 111111111
  27. 98765432
  28. 555555555
  29. 444
  30. 111111
  31. 987
  32. 444444444
  33. 11111111
  34. 666666666
  35. 333
  36. 9876
  37. 999
  38. 12321
  39. 1234321
  40. 9876543

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