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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 766 · 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. 1.123456789 × 8 + 9 =
  2. 2.12345679 × 72 =
  3. 3.111 × 111 =
  4. 4.12345679 × 27 =
  5. 5.12345678 × 8 + 8 =
  6. 6.12345679 × 54 =
  7. 7.123 × 8 + 3 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 36 =
  10. 10.1234 × 9 + 5 =
  11. 11.11 × 11 =
  12. 12.1234 × 8 + 4 =
  13. 13.1234567 × 9 + 8 =
  14. 14.37 × 12 =
  15. 15.37 × 21 =
  16. 16.37 × 15 =
  17. 17.12345 × 8 + 5 =
  18. 18.123 × 9 + 4 =
  19. 19.12345679 × 9 =
  20. 20.37 × 27 =
  21. 21.12345679 × 18 =
  22. 22.37 × 3 =
  23. 23.12 × 9 + 3 =
  24. 24.37 × 9 =
  25. 25.123456 × 9 + 7 =
  26. 26.12345 × 9 + 6 =
  27. 27.12345679 × 45 =
  28. 28.12345679 × 63 =
  29. 29.11111 × 11111 =
  30. 30.12345679 × 81 =
  31. 31.12 × 8 + 2 =
  32. 32.37 × 24 =
  33. 33.111111 × 111111 =
  34. 34.123456 × 8 + 6 =
  35. 35.12 × 9 + 3 =
  36. 36.12345678 × 9 + 9 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 36 =
  39. 39.37 × 3 =
  40. 40.123 × 9 + 4 =

Answer key

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

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