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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 177 · 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. 2.12345679 × 36 =
  3. 3.37 × 12 =
  4. 4.11 × 11 =
  5. 5.123 × 9 + 4 =
  6. 6.37 × 15 =
  7. 7.37 × 21 =
  8. 8.37 × 9 =
  9. 9.1234567 × 8 + 7 =
  10. 10.123456 × 8 + 6 =
  11. 11.37 × 3 =
  12. 12.12345679 × 18 =
  13. 13.12345679 × 63 =
  14. 14.12 × 8 + 2 =
  15. 15.1111 × 1111 =
  16. 16.12345 × 8 + 5 =
  17. 17.111 × 111 =
  18. 18.1234 × 8 + 4 =
  19. 19.37 × 6 =
  20. 20.123456789 × 8 + 9 =
  21. 21.12345679 × 54 =
  22. 22.37 × 24 =
  23. 23.11111 × 11111 =
  24. 24.37 × 27 =
  25. 25.12345678 × 9 + 9 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12 × 9 + 3 =
  28. 28.37 × 18 =
  29. 29.12345679 × 81 =
  30. 30.12345679 × 45 =
  31. 31.12345678 × 8 + 8 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 72 =
  34. 34.123 × 8 + 3 =
  35. 35.1234 × 8 + 4 =
  36. 36.123456 × 9 + 7 =
  37. 37.12345679 × 9 =
  38. 38.12345679 × 27 =
  39. 39.12345679 × 54 =
  40. 40.123 × 9 + 4 =

Answer key

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

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