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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 857 · 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. 2.111 × 111 =
  3. 3.12345678 × 8 + 8 =
  4. 4.37 × 9 =
  5. 5.12345679 × 27 =
  6. 6.37 × 6 =
  7. 7.123 × 9 + 4 =
  8. 8.123 × 8 + 3 =
  9. 9.37 × 15 =
  10. 10.111111 × 111111 =
  11. 11.12345679 × 72 =
  12. 12.1234 × 9 + 5 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 18 =
  15. 15.11 × 11 =
  16. 16.11111 × 11111 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12 × 8 + 2 =
  19. 19.12345679 × 63 =
  20. 20.12345679 × 54 =
  21. 21.12345 × 8 + 5 =
  22. 22.12345678 × 9 + 9 =
  23. 23.1234567 × 9 + 8 =
  24. 24.1111 × 1111 =
  25. 25.12345679 × 81 =
  26. 26.37 × 18 =
  27. 27.37 × 21 =
  28. 28.12345679 × 9 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345679 × 36 =
  32. 32.37 × 24 =
  33. 33.12 × 9 + 3 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 18 =
  36. 36.37 × 27 =
  37. 37.37 × 12 =
  38. 38.37 × 3 =
  39. 39.12 × 9 + 3 =
  40. 40.12345679 × 54 =

Answer key

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

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