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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 543 · 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. 1.111111 × 111111 =
  2. 2.11 × 11 =
  3. 3.37 × 21 =
  4. 4.12345679 × 63 =
  5. 5.1234 × 9 + 5 =
  6. 6.37 × 6 =
  7. 7.11111 × 11111 =
  8. 8.37 × 24 =
  9. 9.1234 × 8 + 4 =
  10. 10.1234567 × 9 + 8 =
  11. 11.12345 × 8 + 5 =
  12. 12.1111 × 1111 =
  13. 13.37 × 15 =
  14. 14.37 × 18 =
  15. 15.123 × 9 + 4 =
  16. 16.12345679 × 18 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12345679 × 36 =
  19. 19.111 × 111 =
  20. 20.12 × 9 + 3 =
  21. 21.12345678 × 9 + 9 =
  22. 22.12345679 × 72 =
  23. 23.1234567 × 8 + 7 =
  24. 24.37 × 12 =
  25. 25.12345679 × 81 =
  26. 26.12345678 × 8 + 8 =
  27. 27.37 × 9 =
  28. 28.12345679 × 45 =
  29. 29.37 × 27 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345679 × 9 =
  32. 32.123 × 8 + 3 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345679 × 54 =
  35. 35.12345679 × 9 =
  36. 36.12345679 × 27 =
  37. 37.12345679 × 9 =
  38. 38.12345 × 9 + 6 =
  39. 39.123 × 8 + 3 =
  40. 40.111 × 111 =

Answer key

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

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