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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 320 · 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. 1.12345679 × 81 =
  2. 2.11111 × 11111 =
  3. 3.12345678 × 9 + 9 =
  4. 4.12345 × 8 + 5 =
  5. 5.37 × 27 =
  6. 6.12345679 × 63 =
  7. 7.111111 × 111111 =
  8. 8.37 × 21 =
  9. 9.37 × 24 =
  10. 10.12345679 × 27 =
  11. 11.37 × 18 =
  12. 12.12345679 × 9 =
  13. 13.111 × 111 =
  14. 14.12345678 × 8 + 8 =
  15. 15.12345679 × 72 =
  16. 16.37 × 6 =
  17. 17.37 × 15 =
  18. 18.123 × 8 + 3 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345679 × 54 =
  21. 21.12 × 8 + 2 =
  22. 22.12345679 × 18 =
  23. 23.123456 × 9 + 7 =
  24. 24.11 × 11 =
  25. 25.37 × 9 =
  26. 26.37 × 12 =
  27. 27.12345 × 9 + 6 =
  28. 28.123456 × 8 + 6 =
  29. 29.1234567 × 8 + 7 =
  30. 30.123 × 9 + 4 =
  31. 31.12345679 × 36 =
  32. 32.37 × 3 =
  33. 33.123456789 × 8 + 9 =
  34. 34.12345679 × 45 =
  35. 35.12 × 9 + 3 =
  36. 36.37 × 6 =
  37. 37.1111 × 1111 =
  38. 38.1111 × 1111 =
  39. 39.37 × 21 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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