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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 318 · 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. 2.12345678 × 8 + 8 =
  3. 3.1111 × 1111 =
  4. 4.12 × 9 + 3 =
  5. 5.11111 × 11111 =
  6. 6.12345679 × 36 =
  7. 7.12345679 × 18 =
  8. 8.12345679 × 63 =
  9. 9.111 × 111 =
  10. 10.12345 × 8 + 5 =
  11. 11.123456 × 8 + 6 =
  12. 12.37 × 15 =
  13. 13.11 × 11 =
  14. 14.12345679 × 81 =
  15. 15.37 × 21 =
  16. 16.1234567 × 9 + 8 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 45 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12345679 × 54 =
  21. 21.12345 × 9 + 6 =
  22. 22.37 × 9 =
  23. 23.37 × 12 =
  24. 24.12345678 × 9 + 9 =
  25. 25.37 × 6 =
  26. 26.37 × 3 =
  27. 27.37 × 27 =
  28. 28.123456789 × 8 + 9 =
  29. 29.123 × 8 + 3 =
  30. 30.111111 × 111111 =
  31. 31.1234 × 9 + 5 =
  32. 32.12 × 8 + 2 =
  33. 33.1234 × 8 + 4 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 27 =
  36. 36.12345679 × 9 =
  37. 37.123456789 × 8 + 9 =
  38. 38.37 × 18 =
  39. 39.12345 × 9 + 6 =
  40. 40.12345679 × 9 =

Answer key

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

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