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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 173 · 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. 1.11111 × 11111 =
  2. 2.37 × 9 =
  3. 3.12345679 × 18 =
  4. 4.12345678 × 8 + 8 =
  5. 5.12345678 × 9 + 9 =
  6. 6.123456789 × 8 + 9 =
  7. 7.12345679 × 36 =
  8. 8.1234567 × 9 + 8 =
  9. 9.123456 × 8 + 6 =
  10. 10.12345 × 8 + 5 =
  11. 11.12 × 8 + 2 =
  12. 12.123456 × 9 + 7 =
  13. 13.37 × 21 =
  14. 14.12345679 × 54 =
  15. 15.1234567 × 8 + 7 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345679 × 63 =
  18. 18.111111 × 111111 =
  19. 19.111 × 111 =
  20. 20.12345679 × 72 =
  21. 21.1111 × 1111 =
  22. 22.12345679 × 45 =
  23. 23.12345679 × 81 =
  24. 24.11 × 11 =
  25. 25.123 × 8 + 3 =
  26. 26.37 × 27 =
  27. 27.12 × 9 + 3 =
  28. 28.37 × 18 =
  29. 29.123 × 9 + 4 =
  30. 30.37 × 6 =
  31. 31.12345679 × 27 =
  32. 32.37 × 24 =
  33. 33.12345679 × 9 =
  34. 34.11 × 11 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 15 =
  37. 37.1111 × 1111 =
  38. 38.37 × 12 =
  39. 39.37 × 3 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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