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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 467 · 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. 1.1111 × 1111 =
  2. 2.37 × 27 =
  3. 3.11111 × 11111 =
  4. 4.37 × 6 =
  5. 5.12345679 × 18 =
  6. 6.37 × 3 =
  7. 7.12345 × 9 + 6 =
  8. 8.11 × 11 =
  9. 9.1234567 × 8 + 7 =
  10. 10.12345679 × 81 =
  11. 11.1234 × 8 + 4 =
  12. 12.12345679 × 54 =
  13. 13.111111 × 111111 =
  14. 14.37 × 15 =
  15. 15.123456 × 9 + 7 =
  16. 16.12 × 9 + 3 =
  17. 17.123 × 8 + 3 =
  18. 18.37 × 9 =
  19. 19.111 × 111 =
  20. 20.12345679 × 9 =
  21. 21.12345 × 8 + 5 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12345679 × 63 =
  24. 24.123 × 9 + 4 =
  25. 25.37 × 21 =
  26. 26.123456789 × 8 + 9 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345678 × 8 + 8 =
  29. 29.1234567 × 9 + 8 =
  30. 30.37 × 12 =
  31. 31.12345679 × 45 =
  32. 32.12345679 × 27 =
  33. 33.37 × 24 =
  34. 34.12345679 × 72 =
  35. 35.12 × 8 + 2 =
  36. 36.37 × 18 =
  37. 37.123456 × 8 + 6 =
  38. 38.1234567 × 9 + 8 =
  39. 39.12345679 × 36 =
  40. 40.1111 × 1111 =

Answer key

  1. 1234321
  2. 999
  3. 123454321
  4. 222
  5. 222222222
  6. 111
  7. 111111
  8. 121
  9. 9876543
  10. 999999999
  11. 9876
  12. 666666666
  13. 12345654321
  14. 555
  15. 1111111
  16. 111
  17. 987
  18. 333
  19. 12321
  20. 111111111
  21. 98765
  22. 111111111
  23. 777777777
  24. 1111
  25. 777
  26. 987654321
  27. 11111
  28. 98765432
  29. 11111111
  30. 444
  31. 555555555
  32. 333333333
  33. 888
  34. 888888888
  35. 98
  36. 666
  37. 987654
  38. 11111111
  39. 444444444
  40. 1234321

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