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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 389 · 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. 2.37 × 9 =
  3. 3.12345679 × 36 =
  4. 4.12345679 × 18 =
  5. 5.12 × 8 + 2 =
  6. 6.1111 × 1111 =
  7. 7.11 × 11 =
  8. 8.12345679 × 72 =
  9. 9.12345 × 9 + 6 =
  10. 10.37 × 21 =
  11. 11.11111 × 11111 =
  12. 12.1234567 × 9 + 8 =
  13. 13.1234 × 8 + 4 =
  14. 14.123456789 × 8 + 9 =
  15. 15.37 × 24 =
  16. 16.12345678 × 9 + 9 =
  17. 17.123 × 8 + 3 =
  18. 18.12345678 × 8 + 8 =
  19. 19.1234 × 9 + 5 =
  20. 20.37 × 18 =
  21. 21.12345679 × 45 =
  22. 22.12 × 9 + 3 =
  23. 23.12345679 × 9 =
  24. 24.111 × 111 =
  25. 25.123 × 9 + 4 =
  26. 26.37 × 27 =
  27. 27.1234567 × 8 + 7 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 54 =
  31. 31.37 × 3 =
  32. 32.1111 × 1111 =
  33. 33.37 × 15 =
  34. 34.11111 × 11111 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 6 =
  37. 37.12345679 × 9 =
  38. 38.111111 × 111111 =
  39. 39.12345 × 8 + 5 =
  40. 40.12345679 × 63 =

Answer key

  1. 999999999
  2. 333
  3. 444444444
  4. 222222222
  5. 98
  6. 1234321
  7. 121
  8. 888888888
  9. 111111
  10. 777
  11. 123454321
  12. 11111111
  13. 9876
  14. 987654321
  15. 888
  16. 111111111
  17. 987
  18. 98765432
  19. 11111
  20. 666
  21. 555555555
  22. 111
  23. 111111111
  24. 12321
  25. 1111
  26. 999
  27. 9876543
  28. 987654
  29. 333333333
  30. 666666666
  31. 111
  32. 1234321
  33. 555
  34. 123454321
  35. 1111111
  36. 222
  37. 111111111
  38. 12345654321
  39. 98765
  40. 777777777

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