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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 4 · 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 × 18 =
  2. 2.12345679 × 45 =
  3. 3.12345679 × 81 =
  4. 4.111 × 111 =
  5. 5.11 × 11 =
  6. 6.37 × 6 =
  7. 7.37 × 27 =
  8. 8.37 × 15 =
  9. 9.123456 × 9 + 7 =
  10. 10.37 × 3 =
  11. 11.12 × 9 + 3 =
  12. 12.12345678 × 9 + 9 =
  13. 13.11111 × 11111 =
  14. 14.12345679 × 9 =
  15. 15.1234567 × 8 + 7 =
  16. 16.1234567 × 9 + 8 =
  17. 17.123456 × 8 + 6 =
  18. 18.37 × 18 =
  19. 19.12345679 × 54 =
  20. 20.37 × 21 =
  21. 21.12345 × 8 + 5 =
  22. 22.37 × 12 =
  23. 23.12345 × 9 + 6 =
  24. 24.12345679 × 63 =
  25. 25.12 × 8 + 2 =
  26. 26.1234 × 8 + 4 =
  27. 27.12345679 × 36 =
  28. 28.12345679 × 27 =
  29. 29.37 × 9 =
  30. 30.1111 × 1111 =
  31. 31.123 × 8 + 3 =
  32. 32.1234 × 8 + 4 =
  33. 33.12345678 × 8 + 8 =
  34. 34.123456789 × 8 + 9 =
  35. 35.111111 × 111111 =
  36. 36.123 × 9 + 4 =
  37. 37.37 × 24 =
  38. 38.111111 × 111111 =
  39. 39.11111 × 11111 =
  40. 40.37 × 24 =

Answer key

  1. 222222222
  2. 555555555
  3. 999999999
  4. 12321
  5. 121
  6. 222
  7. 999
  8. 555
  9. 1111111
  10. 111
  11. 111
  12. 111111111
  13. 123454321
  14. 111111111
  15. 9876543
  16. 11111111
  17. 987654
  18. 666
  19. 666666666
  20. 777
  21. 98765
  22. 444
  23. 111111
  24. 777777777
  25. 98
  26. 9876
  27. 444444444
  28. 333333333
  29. 333
  30. 1234321
  31. 987
  32. 9876
  33. 98765432
  34. 987654321
  35. 12345654321
  36. 1111
  37. 888
  38. 12345654321
  39. 123454321
  40. 888

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