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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 337 · 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. 1.111111 × 111111 =
  2. 2.12345679 × 18 =
  3. 3.123456789 × 8 + 9 =
  4. 4.12345679 × 27 =
  5. 5.12345 × 9 + 6 =
  6. 6.1234 × 8 + 4 =
  7. 7.37 × 3 =
  8. 8.12345678 × 8 + 8 =
  9. 9.12345678 × 9 + 9 =
  10. 10.123456 × 9 + 7 =
  11. 11.37 × 18 =
  12. 12.37 × 21 =
  13. 13.37 × 15 =
  14. 14.1234567 × 8 + 7 =
  15. 15.37 × 9 =
  16. 16.111 × 111 =
  17. 17.123 × 9 + 4 =
  18. 18.37 × 6 =
  19. 19.12345679 × 63 =
  20. 20.37 × 12 =
  21. 21.37 × 24 =
  22. 22.11 × 11 =
  23. 23.12345 × 8 + 5 =
  24. 24.12345679 × 9 =
  25. 25.37 × 27 =
  26. 26.11111 × 11111 =
  27. 27.123456 × 8 + 6 =
  28. 28.1234567 × 9 + 8 =
  29. 29.123 × 8 + 3 =
  30. 30.1234 × 9 + 5 =
  31. 31.12345679 × 45 =
  32. 32.12345679 × 36 =
  33. 33.12 × 8 + 2 =
  34. 34.1111 × 1111 =
  35. 35.12345679 × 72 =
  36. 36.12345679 × 81 =
  37. 37.12 × 9 + 3 =
  38. 38.123456 × 8 + 6 =
  39. 39.12345679 × 54 =
  40. 40.12345679 × 36 =

Answer key

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

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