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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 181 · 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. 3.1234567 × 9 + 8 =
  4. 4.37 × 21 =
  5. 5.12345679 × 81 =
  6. 6.12 × 9 + 3 =
  7. 7.123 × 8 + 3 =
  8. 8.1234 × 8 + 4 =
  9. 9.111 × 111 =
  10. 10.1111 × 1111 =
  11. 11.37 × 6 =
  12. 12.37 × 3 =
  13. 13.37 × 9 =
  14. 14.12345679 × 27 =
  15. 15.123456 × 8 + 6 =
  16. 16.12345 × 9 + 6 =
  17. 17.12 × 8 + 2 =
  18. 18.37 × 24 =
  19. 19.37 × 18 =
  20. 20.123 × 9 + 4 =
  21. 21.12345 × 8 + 5 =
  22. 22.12345679 × 9 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 54 =
  25. 25.12345679 × 63 =
  26. 26.37 × 27 =
  27. 27.12345679 × 36 =
  28. 28.12345679 × 72 =
  29. 29.1234567 × 8 + 7 =
  30. 30.12345678 × 9 + 9 =
  31. 31.11111 × 11111 =
  32. 32.12345678 × 8 + 8 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 15 =
  35. 35.37 × 18 =
  36. 36.12345 × 9 + 6 =
  37. 37.12345679 × 18 =
  38. 38.12345679 × 72 =
  39. 39.1234567 × 8 + 7 =
  40. 40.123 × 8 + 3 =

Answer key

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

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