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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 984 · 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. 1.11111 × 11111 =
  2. 2.37 × 3 =
  3. 3.123456789 × 8 + 9 =
  4. 4.1234 × 9 + 5 =
  5. 5.123456 × 9 + 7 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12 × 9 + 3 =
  8. 8.111 × 111 =
  9. 9.1111 × 1111 =
  10. 10.37 × 12 =
  11. 11.12345 × 8 + 5 =
  12. 12.12345679 × 18 =
  13. 13.11 × 11 =
  14. 14.12345 × 9 + 6 =
  15. 15.12345679 × 36 =
  16. 16.37 × 24 =
  17. 17.37 × 27 =
  18. 18.37 × 21 =
  19. 19.12345679 × 27 =
  20. 20.123 × 9 + 4 =
  21. 21.12345679 × 72 =
  22. 22.12345679 × 54 =
  23. 23.12345678 × 8 + 8 =
  24. 24.123 × 8 + 3 =
  25. 25.12 × 8 + 2 =
  26. 26.111111 × 111111 =
  27. 27.123456 × 8 + 6 =
  28. 28.12345679 × 45 =
  29. 29.12345678 × 9 + 9 =
  30. 30.37 × 18 =
  31. 31.12345679 × 9 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345679 × 63 =
  34. 34.1234 × 8 + 4 =
  35. 35.37 × 9 =
  36. 36.123456 × 9 + 7 =
  37. 37.12345679 × 81 =
  38. 38.37 × 6 =
  39. 39.12345679 × 63 =
  40. 40.37 × 15 =

Answer key

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

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