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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 812 · 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. 1.111 × 111 =
  2. 2.37 × 24 =
  3. 3.123 × 8 + 3 =
  4. 4.123456 × 9 + 7 =
  5. 5.12345678 × 9 + 9 =
  6. 6.123 × 9 + 4 =
  7. 7.1111 × 1111 =
  8. 8.123456 × 8 + 6 =
  9. 9.12345679 × 18 =
  10. 10.12345679 × 81 =
  11. 11.12345 × 8 + 5 =
  12. 12.11 × 11 =
  13. 13.12345679 × 27 =
  14. 14.37 × 27 =
  15. 15.37 × 3 =
  16. 16.12345678 × 8 + 8 =
  17. 17.12345679 × 54 =
  18. 18.1234567 × 8 + 7 =
  19. 19.11111 × 11111 =
  20. 20.111111 × 111111 =
  21. 21.37 × 9 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345679 × 36 =
  24. 24.12345679 × 63 =
  25. 25.37 × 6 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12345679 × 72 =
  28. 28.12345 × 9 + 6 =
  29. 29.123456789 × 8 + 9 =
  30. 30.12 × 9 + 3 =
  31. 31.37 × 12 =
  32. 32.37 × 21 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345679 × 45 =
  35. 35.12 × 8 + 2 =
  36. 36.37 × 18 =
  37. 37.37 × 21 =
  38. 38.12345 × 9 + 6 =
  39. 39.1234 × 8 + 4 =
  40. 40.37 × 15 =

Answer key

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

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