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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 848 · 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 × 45 =
  2. 2.111111 × 111111 =
  3. 3.12345679 × 27 =
  4. 4.12345679 × 54 =
  5. 5.1234 × 9 + 5 =
  6. 6.37 × 21 =
  7. 7.11 × 11 =
  8. 8.37 × 3 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 15 =
  11. 11.123456 × 9 + 7 =
  12. 12.123456 × 8 + 6 =
  13. 13.111 × 111 =
  14. 14.1234567 × 8 + 7 =
  15. 15.37 × 18 =
  16. 16.12345679 × 18 =
  17. 17.37 × 9 =
  18. 18.12345678 × 9 + 9 =
  19. 19.37 × 24 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345679 × 72 =
  22. 22.123456789 × 8 + 9 =
  23. 23.11111 × 11111 =
  24. 24.12 × 9 + 3 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12345 × 8 + 5 =
  27. 27.12 × 8 + 2 =
  28. 28.37 × 27 =
  29. 29.37 × 6 =
  30. 30.12345678 × 8 + 8 =
  31. 31.12345679 × 36 =
  32. 32.123 × 9 + 4 =
  33. 33.12345679 × 9 =
  34. 34.11111 × 11111 =
  35. 35.37 × 12 =
  36. 36.123 × 8 + 3 =
  37. 37.12345679 × 63 =
  38. 38.1111 × 1111 =
  39. 39.12345679 × 36 =
  40. 40.111 × 111 =

Answer key

  1. 555555555
  2. 12345654321
  3. 333333333
  4. 666666666
  5. 11111
  6. 777
  7. 121
  8. 111
  9. 987
  10. 555
  11. 1111111
  12. 987654
  13. 12321
  14. 9876543
  15. 666
  16. 222222222
  17. 333
  18. 111111111
  19. 888
  20. 111111
  21. 888888888
  22. 987654321
  23. 123454321
  24. 111
  25. 11111111
  26. 98765
  27. 98
  28. 999
  29. 222
  30. 98765432
  31. 444444444
  32. 1111
  33. 111111111
  34. 123454321
  35. 444
  36. 987
  37. 777777777
  38. 1234321
  39. 444444444
  40. 12321

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