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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 879 · 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 × 72 =
  2. 2.12345679 × 18 =
  3. 3.123 × 8 + 3 =
  4. 4.37 × 21 =
  5. 5.11 × 11 =
  6. 6.12 × 8 + 2 =
  7. 7.12345679 × 81 =
  8. 8.12345679 × 36 =
  9. 9.37 × 6 =
  10. 10.37 × 18 =
  11. 11.11111 × 11111 =
  12. 12.37 × 12 =
  13. 13.37 × 9 =
  14. 14.12345678 × 8 + 8 =
  15. 15.37 × 24 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345 × 9 + 6 =
  18. 18.111111 × 111111 =
  19. 19.12345679 × 27 =
  20. 20.1234 × 8 + 4 =
  21. 21.1234567 × 8 + 7 =
  22. 22.1234 × 9 + 5 =
  23. 23.12 × 9 + 3 =
  24. 24.1234567 × 9 + 8 =
  25. 25.37 × 3 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 9 =
  28. 28.12345679 × 54 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345679 × 63 =
  31. 31.12345 × 8 + 5 =
  32. 32.123456789 × 8 + 9 =
  33. 33.12345679 × 45 =
  34. 34.37 × 15 =
  35. 35.111 × 111 =
  36. 36.123456 × 8 + 6 =
  37. 37.123 × 9 + 4 =
  38. 38.111 × 111 =
  39. 39.37 × 27 =
  40. 40.11 × 11 =

Answer key

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

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