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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 238 · 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. 2.12345679 × 9 =
  3. 3.11 × 11 =
  4. 4.12345679 × 54 =
  5. 5.37 × 18 =
  6. 6.12345679 × 72 =
  7. 7.12345678 × 8 + 8 =
  8. 8.12345679 × 81 =
  9. 9.111111 × 111111 =
  10. 10.12345679 × 36 =
  11. 11.12 × 9 + 3 =
  12. 12.37 × 9 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12345679 × 45 =
  15. 15.12345 × 8 + 5 =
  16. 16.37 × 12 =
  17. 17.123456789 × 8 + 9 =
  18. 18.123456 × 9 + 7 =
  19. 19.37 × 15 =
  20. 20.37 × 24 =
  21. 21.123 × 9 + 4 =
  22. 22.37 × 27 =
  23. 23.12345679 × 18 =
  24. 24.12345679 × 27 =
  25. 25.37 × 6 =
  26. 26.1234567 × 9 + 8 =
  27. 27.1234 × 9 + 5 =
  28. 28.12 × 8 + 2 =
  29. 29.37 × 21 =
  30. 30.11111 × 11111 =
  31. 31.12345 × 9 + 6 =
  32. 32.1234 × 8 + 4 =
  33. 33.37 × 3 =
  34. 34.111 × 111 =
  35. 35.123456 × 8 + 6 =
  36. 36.111111 × 111111 =
  37. 37.12345679 × 63 =
  38. 38.123 × 8 + 3 =
  39. 39.12345678 × 9 + 9 =
  40. 40.12 × 9 + 3 =

Answer key

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

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