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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 166 · 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 × 12 =
  3. 3.12345679 × 63 =
  4. 4.12345 × 8 + 5 =
  5. 5.123 × 9 + 4 =
  6. 6.12 × 9 + 3 =
  7. 7.123456789 × 8 + 9 =
  8. 8.11 × 11 =
  9. 9.1111 × 1111 =
  10. 10.37 × 9 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12345679 × 9 =
  13. 13.12345679 × 54 =
  14. 14.12345679 × 72 =
  15. 15.12345679 × 36 =
  16. 16.111111 × 111111 =
  17. 17.37 × 24 =
  18. 18.1234 × 8 + 4 =
  19. 19.37 × 6 =
  20. 20.123 × 8 + 3 =
  21. 21.37 × 21 =
  22. 22.12345678 × 8 + 8 =
  23. 23.12 × 8 + 2 =
  24. 24.123456 × 8 + 6 =
  25. 25.37 × 15 =
  26. 26.37 × 18 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345679 × 81 =
  29. 29.37 × 3 =
  30. 30.111 × 111 =
  31. 31.12345679 × 27 =
  32. 32.12345679 × 18 =
  33. 33.37 × 24 =
  34. 34.12 × 9 + 3 =
  35. 35.12345 × 9 + 6 =
  36. 36.12345678 × 9 + 9 =
  37. 37.123456 × 9 + 7 =
  38. 38.111111 × 111111 =
  39. 39.37 × 27 =
  40. 40.12345679 × 54 =

Answer key

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

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