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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 229 · 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. 1.11 × 11 =
  2. 2.12345679 × 45 =
  3. 3.12345679 × 9 =
  4. 4.1234567 × 8 + 7 =
  5. 5.123 × 9 + 4 =
  6. 6.11111 × 11111 =
  7. 7.1234 × 9 + 5 =
  8. 8.111 × 111 =
  9. 9.12345 × 9 + 6 =
  10. 10.123456 × 8 + 6 =
  11. 11.37 × 18 =
  12. 12.123456789 × 8 + 9 =
  13. 13.12 × 9 + 3 =
  14. 14.12345678 × 8 + 8 =
  15. 15.37 × 21 =
  16. 16.37 × 24 =
  17. 17.37 × 15 =
  18. 18.12345678 × 9 + 9 =
  19. 19.12345679 × 54 =
  20. 20.123456 × 9 + 7 =
  21. 21.37 × 6 =
  22. 22.1234 × 8 + 4 =
  23. 23.12 × 8 + 2 =
  24. 24.37 × 27 =
  25. 25.37 × 9 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 72 =
  28. 28.12345679 × 27 =
  29. 29.12345679 × 63 =
  30. 30.1234567 × 9 + 8 =
  31. 31.111111 × 111111 =
  32. 32.12345679 × 18 =
  33. 33.11 × 11 =
  34. 34.37 × 9 =
  35. 35.12345679 × 36 =
  36. 36.12345679 × 81 =
  37. 37.37 × 27 =
  38. 38.123456789 × 8 + 9 =
  39. 39.37 × 3 =
  40. 40.37 × 12 =

Answer key

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

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