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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 918 · 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. 1.37 × 3 =
  2. 2.12 × 9 + 3 =
  3. 3.123456 × 8 + 6 =
  4. 4.123 × 9 + 4 =
  5. 5.1111 × 1111 =
  6. 6.12345679 × 9 =
  7. 7.12345679 × 27 =
  8. 8.123456 × 9 + 7 =
  9. 9.1234 × 9 + 5 =
  10. 10.12345679 × 36 =
  11. 11.11 × 11 =
  12. 12.12345679 × 54 =
  13. 13.37 × 15 =
  14. 14.1234567 × 8 + 7 =
  15. 15.12 × 8 + 2 =
  16. 16.111111 × 111111 =
  17. 17.12345679 × 63 =
  18. 18.11111 × 11111 =
  19. 19.12345678 × 9 + 9 =
  20. 20.123456789 × 8 + 9 =
  21. 21.1234567 × 9 + 8 =
  22. 22.37 × 18 =
  23. 23.37 × 9 =
  24. 24.123 × 8 + 3 =
  25. 25.12345 × 8 + 5 =
  26. 26.37 × 6 =
  27. 27.12345679 × 81 =
  28. 28.111 × 111 =
  29. 29.12345679 × 18 =
  30. 30.12345679 × 72 =
  31. 31.37 × 21 =
  32. 32.12345678 × 8 + 8 =
  33. 33.12345 × 9 + 6 =
  34. 34.37 × 12 =
  35. 35.12345679 × 45 =
  36. 36.37 × 24 =
  37. 37.37 × 27 =
  38. 38.123 × 9 + 4 =
  39. 39.37 × 21 =
  40. 40.12345679 × 81 =

Answer key

  1. 111
  2. 111
  3. 987654
  4. 1111
  5. 1234321
  6. 111111111
  7. 333333333
  8. 1111111
  9. 11111
  10. 444444444
  11. 121
  12. 666666666
  13. 555
  14. 9876543
  15. 98
  16. 12345654321
  17. 777777777
  18. 123454321
  19. 111111111
  20. 987654321
  21. 11111111
  22. 666
  23. 333
  24. 987
  25. 98765
  26. 222
  27. 999999999
  28. 12321
  29. 222222222
  30. 888888888
  31. 777
  32. 98765432
  33. 111111
  34. 444
  35. 555555555
  36. 888
  37. 999
  38. 1111
  39. 777
  40. 999999999

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