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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 645 · 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. 1.111 × 111 =
  2. 2.12 × 9 + 3 =
  3. 3.12345678 × 9 + 9 =
  4. 4.37 × 9 =
  5. 5.37 × 18 =
  6. 6.37 × 27 =
  7. 7.12345679 × 54 =
  8. 8.12345679 × 63 =
  9. 9.12 × 8 + 2 =
  10. 10.1234567 × 9 + 8 =
  11. 11.1111 × 1111 =
  12. 12.1234567 × 8 + 7 =
  13. 13.37 × 21 =
  14. 14.12345 × 9 + 6 =
  15. 15.37 × 3 =
  16. 16.11111 × 11111 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 18 =
  19. 19.12345679 × 45 =
  20. 20.123456789 × 8 + 9 =
  21. 21.1234 × 8 + 4 =
  22. 22.12345679 × 27 =
  23. 23.1234 × 9 + 5 =
  24. 24.37 × 12 =
  25. 25.12345679 × 72 =
  26. 26.123 × 8 + 3 =
  27. 27.123456 × 9 + 7 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345679 × 81 =
  30. 30.12345 × 8 + 5 =
  31. 31.12345679 × 9 =
  32. 32.12345679 × 36 =
  33. 33.11 × 11 =
  34. 34.111111 × 111111 =
  35. 35.37 × 24 =
  36. 36.37 × 3 =
  37. 37.37 × 6 =
  38. 38.37 × 15 =
  39. 39.123456 × 8 + 6 =
  40. 40.111111 × 111111 =

Answer key

  1. 12321
  2. 111
  3. 111111111
  4. 333
  5. 666
  6. 999
  7. 666666666
  8. 777777777
  9. 98
  10. 11111111
  11. 1234321
  12. 9876543
  13. 777
  14. 111111
  15. 111
  16. 123454321
  17. 1111
  18. 222222222
  19. 555555555
  20. 987654321
  21. 9876
  22. 333333333
  23. 11111
  24. 444
  25. 888888888
  26. 987
  27. 1111111
  28. 98765432
  29. 999999999
  30. 98765
  31. 111111111
  32. 444444444
  33. 121
  34. 12345654321
  35. 888
  36. 111
  37. 222
  38. 555
  39. 987654
  40. 12345654321

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