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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 807 · 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. 2.37 × 12 =
  3. 3.12345679 × 18 =
  4. 4.12 × 9 + 3 =
  5. 5.111111 × 111111 =
  6. 6.1111 × 1111 =
  7. 7.37 × 15 =
  8. 8.1234 × 8 + 4 =
  9. 9.12345679 × 81 =
  10. 10.11 × 11 =
  11. 11.1234567 × 9 + 8 =
  12. 12.37 × 3 =
  13. 13.123456 × 9 + 7 =
  14. 14.37 × 18 =
  15. 15.37 × 9 =
  16. 16.12345679 × 54 =
  17. 17.37 × 27 =
  18. 18.12345 × 8 + 5 =
  19. 19.12345679 × 9 =
  20. 20.11111 × 11111 =
  21. 21.123456789 × 8 + 9 =
  22. 22.37 × 6 =
  23. 23.12345679 × 63 =
  24. 24.12345679 × 27 =
  25. 25.12345678 × 8 + 8 =
  26. 26.12345 × 9 + 6 =
  27. 27.123456 × 8 + 6 =
  28. 28.123 × 8 + 3 =
  29. 29.37 × 24 =
  30. 30.123 × 9 + 4 =
  31. 31.12345678 × 9 + 9 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345679 × 36 =
  34. 34.111 × 111 =
  35. 35.12345 × 8 + 5 =
  36. 36.12 × 8 + 2 =
  37. 37.12345678 × 9 + 9 =
  38. 38.1234 × 9 + 5 =
  39. 39.12345679 × 72 =
  40. 40.11111 × 11111 =

Answer key

  1. 555555555
  2. 444
  3. 222222222
  4. 111
  5. 12345654321
  6. 1234321
  7. 555
  8. 9876
  9. 999999999
  10. 121
  11. 11111111
  12. 111
  13. 1111111
  14. 666
  15. 333
  16. 666666666
  17. 999
  18. 98765
  19. 111111111
  20. 123454321
  21. 987654321
  22. 222
  23. 777777777
  24. 333333333
  25. 98765432
  26. 111111
  27. 987654
  28. 987
  29. 888
  30. 1111
  31. 111111111
  32. 9876543
  33. 444444444
  34. 12321
  35. 98765
  36. 98
  37. 111111111
  38. 11111
  39. 888888888
  40. 123454321

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