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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 859 · 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. 1.1111 × 1111 =
  2. 2.37 × 15 =
  3. 3.37 × 3 =
  4. 4.1234567 × 8 + 7 =
  5. 5.11111 × 11111 =
  6. 6.12345679 × 72 =
  7. 7.37 × 6 =
  8. 8.12345678 × 9 + 9 =
  9. 9.123 × 9 + 4 =
  10. 10.12345679 × 9 =
  11. 11.37 × 9 =
  12. 12.12345 × 9 + 6 =
  13. 13.37 × 24 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345679 × 27 =
  16. 16.37 × 27 =
  17. 17.1234567 × 9 + 8 =
  18. 18.12345679 × 63 =
  19. 19.12345679 × 54 =
  20. 20.12345679 × 45 =
  21. 21.12 × 9 + 3 =
  22. 22.37 × 21 =
  23. 23.12345678 × 8 + 8 =
  24. 24.111111 × 111111 =
  25. 25.111 × 111 =
  26. 26.123456789 × 8 + 9 =
  27. 27.123 × 8 + 3 =
  28. 28.12345679 × 36 =
  29. 29.11 × 11 =
  30. 30.37 × 12 =
  31. 31.123456 × 8 + 6 =
  32. 32.12345 × 8 + 5 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345679 × 81 =
  35. 35.1234 × 8 + 4 =
  36. 36.12 × 8 + 2 =
  37. 37.37 × 18 =
  38. 38.12345679 × 18 =
  39. 39.12345679 × 27 =
  40. 40.123456 × 9 + 7 =

Answer key

  1. 1234321
  2. 555
  3. 111
  4. 9876543
  5. 123454321
  6. 888888888
  7. 222
  8. 111111111
  9. 1111
  10. 111111111
  11. 333
  12. 111111
  13. 888
  14. 11111
  15. 333333333
  16. 999
  17. 11111111
  18. 777777777
  19. 666666666
  20. 555555555
  21. 111
  22. 777
  23. 98765432
  24. 12345654321
  25. 12321
  26. 987654321
  27. 987
  28. 444444444
  29. 121
  30. 444
  31. 987654
  32. 98765
  33. 1111111
  34. 999999999
  35. 9876
  36. 98
  37. 666
  38. 222222222
  39. 333333333
  40. 1111111

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