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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 608 · 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. 2.1111 × 1111 =
  3. 3.37 × 9 =
  4. 4.37 × 24 =
  5. 5.12345679 × 18 =
  6. 6.37 × 27 =
  7. 7.12 × 9 + 3 =
  8. 8.37 × 6 =
  9. 9.12345678 × 9 + 9 =
  10. 10.1234567 × 8 + 7 =
  11. 11.111 × 111 =
  12. 12.12345679 × 27 =
  13. 13.123456 × 9 + 7 =
  14. 14.123 × 8 + 3 =
  15. 15.1234567 × 9 + 8 =
  16. 16.11 × 11 =
  17. 17.12345 × 8 + 5 =
  18. 18.1234 × 9 + 5 =
  19. 19.12345679 × 36 =
  20. 20.111111 × 111111 =
  21. 21.123 × 9 + 4 =
  22. 22.12345 × 9 + 6 =
  23. 23.12345679 × 9 =
  24. 24.1234 × 8 + 4 =
  25. 25.37 × 18 =
  26. 26.12345678 × 8 + 8 =
  27. 27.12345679 × 45 =
  28. 28.11111 × 11111 =
  29. 29.12345679 × 72 =
  30. 30.37 × 12 =
  31. 31.12345679 × 81 =
  32. 32.123456 × 8 + 6 =
  33. 33.37 × 21 =
  34. 34.37 × 3 =
  35. 35.12345679 × 63 =
  36. 36.37 × 15 =
  37. 37.37 × 6 =
  38. 38.123456 × 9 + 7 =
  39. 39.12345679 × 27 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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