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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 853 · 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 × 27 =
  2. 2.111111 × 111111 =
  3. 3.123 × 8 + 3 =
  4. 4.37 × 21 =
  5. 5.12345679 × 18 =
  6. 6.12 × 8 + 2 =
  7. 7.12345678 × 9 + 9 =
  8. 8.11 × 11 =
  9. 9.12345679 × 81 =
  10. 10.12 × 9 + 3 =
  11. 11.12345679 × 45 =
  12. 12.12345679 × 54 =
  13. 13.12345679 × 72 =
  14. 14.12345679 × 9 =
  15. 15.37 × 6 =
  16. 16.1234 × 9 + 5 =
  17. 17.1111 × 1111 =
  18. 18.12345679 × 36 =
  19. 19.123456 × 9 + 7 =
  20. 20.12345678 × 8 + 8 =
  21. 21.37 × 18 =
  22. 22.37 × 27 =
  23. 23.111 × 111 =
  24. 24.12345679 × 63 =
  25. 25.37 × 24 =
  26. 26.123456789 × 8 + 9 =
  27. 27.1234567 × 8 + 7 =
  28. 28.37 × 3 =
  29. 29.37 × 12 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 21 =
  32. 32.11111 × 11111 =
  33. 33.37 × 9 =
  34. 34.37 × 6 =
  35. 35.1234 × 8 + 4 =
  36. 36.1234567 × 9 + 8 =
  37. 37.37 × 24 =
  38. 38.12345 × 9 + 6 =
  39. 39.123456 × 8 + 6 =
  40. 40.37 × 15 =

Answer key

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

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