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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 999 · 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 × 6 =
  3. 3.37 × 12 =
  4. 4.37 × 3 =
  5. 5.12345679 × 27 =
  6. 6.111111 × 111111 =
  7. 7.12345 × 9 + 6 =
  8. 8.12345679 × 18 =
  9. 9.37 × 18 =
  10. 10.12 × 9 + 3 =
  11. 11.37 × 15 =
  12. 12.1234567 × 8 + 7 =
  13. 13.1234567 × 9 + 8 =
  14. 14.37 × 24 =
  15. 15.11111 × 11111 =
  16. 16.37 × 9 =
  17. 17.37 × 21 =
  18. 18.12345679 × 36 =
  19. 19.12345679 × 81 =
  20. 20.1234 × 8 + 4 =
  21. 21.12345679 × 45 =
  22. 22.12345679 × 63 =
  23. 23.123456789 × 8 + 9 =
  24. 24.1234 × 9 + 5 =
  25. 25.11 × 11 =
  26. 26.12345679 × 9 =
  27. 27.12345678 × 9 + 9 =
  28. 28.111 × 111 =
  29. 29.12345679 × 72 =
  30. 30.123 × 9 + 4 =
  31. 31.12345678 × 8 + 8 =
  32. 32.37 × 27 =
  33. 33.123 × 8 + 3 =
  34. 34.12345679 × 54 =
  35. 35.12 × 8 + 2 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345679 × 45 =
  38. 38.123456789 × 8 + 9 =
  39. 39.123456 × 9 + 7 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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