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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 664 · 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. 1.111 × 111 =
  2. 2.12345 × 9 + 6 =
  3. 3.37 × 15 =
  4. 4.12345679 × 9 =
  5. 5.12345679 × 27 =
  6. 6.37 × 6 =
  7. 7.11111 × 11111 =
  8. 8.12345679 × 36 =
  9. 9.111111 × 111111 =
  10. 10.123456 × 8 + 6 =
  11. 11.123 × 8 + 3 =
  12. 12.37 × 18 =
  13. 13.37 × 3 =
  14. 14.12345678 × 9 + 9 =
  15. 15.12345679 × 63 =
  16. 16.11 × 11 =
  17. 17.12 × 9 + 3 =
  18. 18.12345679 × 54 =
  19. 19.12 × 8 + 2 =
  20. 20.37 × 21 =
  21. 21.12345679 × 72 =
  22. 22.1111 × 1111 =
  23. 23.12345678 × 8 + 8 =
  24. 24.37 × 12 =
  25. 25.1234567 × 8 + 7 =
  26. 26.123 × 9 + 4 =
  27. 27.12345 × 8 + 5 =
  28. 28.37 × 27 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345679 × 45 =
  31. 31.123456 × 9 + 7 =
  32. 32.12345679 × 81 =
  33. 33.1234567 × 9 + 8 =
  34. 34.12345679 × 18 =
  35. 35.37 × 24 =
  36. 36.123456789 × 8 + 9 =
  37. 37.1234 × 9 + 5 =
  38. 38.111 × 111 =
  39. 39.37 × 18 =
  40. 40.37 × 9 =

Answer key

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

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