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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 326 · 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. 1.1111 × 1111 =
  2. 2.37 × 3 =
  3. 3.12345678 × 8 + 8 =
  4. 4.12345679 × 9 =
  5. 5.12 × 9 + 3 =
  6. 6.11111 × 11111 =
  7. 7.111 × 111 =
  8. 8.37 × 6 =
  9. 9.37 × 24 =
  10. 10.12345679 × 72 =
  11. 11.1234567 × 8 + 7 =
  12. 12.1234 × 8 + 4 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 18 =
  15. 15.123 × 9 + 4 =
  16. 16.11 × 11 =
  17. 17.12345679 × 81 =
  18. 18.12345679 × 63 =
  19. 19.1234 × 9 + 5 =
  20. 20.37 × 27 =
  21. 21.37 × 9 =
  22. 22.12345679 × 18 =
  23. 23.12345679 × 45 =
  24. 24.123 × 8 + 3 =
  25. 25.123456 × 8 + 6 =
  26. 26.12345678 × 9 + 9 =
  27. 27.111111 × 111111 =
  28. 28.12345 × 9 + 6 =
  29. 29.12345679 × 72 =
  30. 30.12345679 × 36 =
  31. 31.37 × 21 =
  32. 32.123456 × 9 + 7 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 15 =
  35. 35.37 × 9 =
  36. 36.12345679 × 27 =
  37. 37.1234567 × 9 + 8 =
  38. 38.123456789 × 8 + 9 =
  39. 39.37 × 6 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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