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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 890 · 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. 2.11111 × 11111 =
  3. 3.37 × 15 =
  4. 4.12 × 8 + 2 =
  5. 5.37 × 24 =
  6. 6.1234 × 9 + 5 =
  7. 7.12345679 × 9 =
  8. 8.37 × 3 =
  9. 9.111 × 111 =
  10. 10.37 × 18 =
  11. 11.12345678 × 9 + 9 =
  12. 12.1234567 × 8 + 7 =
  13. 13.123456 × 8 + 6 =
  14. 14.1234567 × 9 + 8 =
  15. 15.12345679 × 81 =
  16. 16.12345679 × 54 =
  17. 17.123456 × 9 + 7 =
  18. 18.12345679 × 63 =
  19. 19.123 × 8 + 3 =
  20. 20.12 × 9 + 3 =
  21. 21.111111 × 111111 =
  22. 22.123 × 9 + 4 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 27 =
  25. 25.12345679 × 72 =
  26. 26.12345679 × 18 =
  27. 27.37 × 12 =
  28. 28.11 × 11 =
  29. 29.37 × 6 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345679 × 36 =
  32. 32.37 × 21 =
  33. 33.11 × 11 =
  34. 34.37 × 27 =
  35. 35.12345 × 8 + 5 =
  36. 36.37 × 9 =
  37. 37.12345679 × 45 =
  38. 38.123 × 9 + 4 =
  39. 39.12345679 × 45 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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