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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 609 · 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. 1.12345678 × 9 + 9 =
  2. 2.37 × 18 =
  3. 3.1234567 × 8 + 7 =
  4. 4.11111 × 11111 =
  5. 5.37 × 15 =
  6. 6.111111 × 111111 =
  7. 7.12345679 × 63 =
  8. 8.37 × 3 =
  9. 9.37 × 21 =
  10. 10.1111 × 1111 =
  11. 11.12345679 × 54 =
  12. 12.12345678 × 8 + 8 =
  13. 13.123 × 8 + 3 =
  14. 14.37 × 24 =
  15. 15.123 × 9 + 4 =
  16. 16.12345679 × 9 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345679 × 45 =
  19. 19.12 × 9 + 3 =
  20. 20.12345679 × 72 =
  21. 21.12345 × 8 + 5 =
  22. 22.12345679 × 27 =
  23. 23.12345 × 9 + 6 =
  24. 24.123456789 × 8 + 9 =
  25. 25.12345679 × 81 =
  26. 26.12 × 8 + 2 =
  27. 27.1111 × 1111 =
  28. 28.12345679 × 18 =
  29. 29.11 × 11 =
  30. 30.37 × 9 =
  31. 31.12345679 × 36 =
  32. 32.1234 × 8 + 4 =
  33. 33.37 × 12 =
  34. 34.37 × 6 =
  35. 35.12 × 8 + 2 =
  36. 36.37 × 27 =
  37. 37.1234567 × 9 + 8 =
  38. 38.123456 × 9 + 7 =
  39. 39.111 × 111 =
  40. 40.123 × 8 + 3 =

Answer key

  1. 111111111
  2. 666
  3. 9876543
  4. 123454321
  5. 555
  6. 12345654321
  7. 777777777
  8. 111
  9. 777
  10. 1234321
  11. 666666666
  12. 98765432
  13. 987
  14. 888
  15. 1111
  16. 111111111
  17. 11111
  18. 555555555
  19. 111
  20. 888888888
  21. 98765
  22. 333333333
  23. 111111
  24. 987654321
  25. 999999999
  26. 98
  27. 1234321
  28. 222222222
  29. 121
  30. 333
  31. 444444444
  32. 9876
  33. 444
  34. 222
  35. 98
  36. 999
  37. 11111111
  38. 1111111
  39. 12321
  40. 987

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