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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 922 · 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. 1.123456 × 9 + 7 =
  2. 2.37 × 21 =
  3. 3.123 × 8 + 3 =
  4. 4.11 × 11 =
  5. 5.1234 × 9 + 5 =
  6. 6.12345679 × 63 =
  7. 7.12345678 × 9 + 9 =
  8. 8.123456 × 8 + 6 =
  9. 9.12 × 9 + 3 =
  10. 10.12345679 × 27 =
  11. 11.12345679 × 72 =
  12. 12.1111 × 1111 =
  13. 13.12345 × 9 + 6 =
  14. 14.37 × 15 =
  15. 15.37 × 6 =
  16. 16.37 × 18 =
  17. 17.111 × 111 =
  18. 18.123456789 × 8 + 9 =
  19. 19.12345678 × 8 + 8 =
  20. 20.37 × 24 =
  21. 21.37 × 9 =
  22. 22.12 × 8 + 2 =
  23. 23.12345679 × 54 =
  24. 24.12345679 × 9 =
  25. 25.1234 × 8 + 4 =
  26. 26.12345679 × 45 =
  27. 27.12345679 × 36 =
  28. 28.123 × 9 + 4 =
  29. 29.111111 × 111111 =
  30. 30.12345679 × 18 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345679 × 81 =
  33. 33.11111 × 11111 =
  34. 34.37 × 12 =
  35. 35.37 × 27 =
  36. 36.1234567 × 9 + 8 =
  37. 37.37 × 27 =
  38. 38.12345 × 8 + 5 =
  39. 39.111 × 111 =
  40. 40.37 × 3 =

Answer key

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

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