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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 325 · 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. 2.123456789 × 8 + 9 =
  3. 3.123 × 8 + 3 =
  4. 4.12 × 8 + 2 =
  5. 5.1234 × 9 + 5 =
  6. 6.37 × 12 =
  7. 7.12345678 × 8 + 8 =
  8. 8.123456 × 8 + 6 =
  9. 9.37 × 21 =
  10. 10.12345679 × 9 =
  11. 11.11 × 11 =
  12. 12.11111 × 11111 =
  13. 13.12345 × 9 + 6 =
  14. 14.12345679 × 63 =
  15. 15.37 × 6 =
  16. 16.37 × 9 =
  17. 17.12 × 9 + 3 =
  18. 18.123456 × 9 + 7 =
  19. 19.37 × 24 =
  20. 20.37 × 27 =
  21. 21.111 × 111 =
  22. 22.12345 × 8 + 5 =
  23. 23.123 × 9 + 4 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345679 × 45 =
  26. 26.12345679 × 27 =
  27. 27.12345679 × 72 =
  28. 28.12345679 × 36 =
  29. 29.12345678 × 9 + 9 =
  30. 30.1234567 × 9 + 8 =
  31. 31.37 × 18 =
  32. 32.12345679 × 81 =
  33. 33.37 × 3 =
  34. 34.12345679 × 54 =
  35. 35.1111 × 1111 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345679 × 18 =
  38. 38.37 × 15 =
  39. 39.12345 × 9 + 6 =
  40. 40.37 × 24 =

Answer key

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

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