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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 135 · 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. 1.12 × 9 + 3 =
  2. 2.1234 × 9 + 5 =
  3. 3.123 × 9 + 4 =
  4. 4.12345679 × 36 =
  5. 5.111111 × 111111 =
  6. 6.1111 × 1111 =
  7. 7.1234567 × 9 + 8 =
  8. 8.123456 × 9 + 7 =
  9. 9.1234567 × 8 + 7 =
  10. 10.12345679 × 81 =
  11. 11.37 × 15 =
  12. 12.11111 × 11111 =
  13. 13.12345 × 8 + 5 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12345679 × 27 =
  16. 16.12345 × 9 + 6 =
  17. 17.1234 × 8 + 4 =
  18. 18.12345679 × 45 =
  19. 19.37 × 6 =
  20. 20.12345678 × 9 + 9 =
  21. 21.37 × 9 =
  22. 22.37 × 3 =
  23. 23.123 × 8 + 3 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345679 × 54 =
  26. 26.12345679 × 72 =
  27. 27.37 × 27 =
  28. 28.111 × 111 =
  29. 29.111111 × 111111 =
  30. 30.12345679 × 18 =
  31. 31.12 × 8 + 2 =
  32. 32.37 × 24 =
  33. 33.1111 × 1111 =
  34. 34.11 × 11 =
  35. 35.12345679 × 18 =
  36. 36.37 × 18 =
  37. 37.37 × 21 =
  38. 38.1111 × 1111 =
  39. 39.12345678 × 8 + 8 =
  40. 40.12345679 × 63 =

Answer key

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

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