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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 828 · 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. 2.111111 × 111111 =
  3. 3.37 × 6 =
  4. 4.111 × 111 =
  5. 5.12345679 × 36 =
  6. 6.1111 × 1111 =
  7. 7.12345679 × 72 =
  8. 8.12345 × 9 + 6 =
  9. 9.123 × 8 + 3 =
  10. 10.12345678 × 8 + 8 =
  11. 11.12345679 × 18 =
  12. 12.1234567 × 8 + 7 =
  13. 13.123456 × 9 + 7 =
  14. 14.1234567 × 9 + 8 =
  15. 15.12345679 × 81 =
  16. 16.11 × 11 =
  17. 17.37 × 9 =
  18. 18.37 × 12 =
  19. 19.37 × 27 =
  20. 20.37 × 24 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345679 × 54 =
  23. 23.11111 × 11111 =
  24. 24.1234 × 8 + 4 =
  25. 25.12 × 8 + 2 =
  26. 26.37 × 18 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 15 =
  29. 29.12345679 × 9 =
  30. 30.123 × 9 + 4 =
  31. 31.37 × 3 =
  32. 32.12 × 9 + 3 =
  33. 33.11 × 11 =
  34. 34.1234 × 9 + 5 =
  35. 35.12345679 × 72 =
  36. 36.123456 × 8 + 6 =
  37. 37.12345679 × 63 =
  38. 38.12345 × 8 + 5 =
  39. 39.37 × 3 =
  40. 40.12345679 × 45 =

Answer key

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

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