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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 831 · 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. 2.123 × 9 + 4 =
  3. 3.111 × 111 =
  4. 4.12345679 × 45 =
  5. 5.123456789 × 8 + 9 =
  6. 6.12345679 × 72 =
  7. 7.1234 × 8 + 4 =
  8. 8.12345679 × 36 =
  9. 9.123 × 8 + 3 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12345679 × 81 =
  12. 12.12345 × 9 + 6 =
  13. 13.1234567 × 9 + 8 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345 × 8 + 5 =
  16. 16.12345678 × 9 + 9 =
  17. 17.123456 × 8 + 6 =
  18. 18.37 × 6 =
  19. 19.11 × 11 =
  20. 20.37 × 27 =
  21. 21.111111 × 111111 =
  22. 22.37 × 18 =
  23. 23.37 × 24 =
  24. 24.12345679 × 18 =
  25. 25.37 × 21 =
  26. 26.123456 × 9 + 7 =
  27. 27.37 × 15 =
  28. 28.12345679 × 27 =
  29. 29.37 × 9 =
  30. 30.37 × 12 =
  31. 31.12345679 × 63 =
  32. 32.12 × 8 + 2 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12345679 × 54 =
  35. 35.12 × 9 + 3 =
  36. 36.12 × 8 + 2 =
  37. 37.37 × 27 =
  38. 38.1111 × 1111 =
  39. 39.1234 × 9 + 5 =
  40. 40.12345679 × 81 =

Answer key

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

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