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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 951 · 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 × 45 =
  2. 2.11 × 11 =
  3. 3.123456 × 9 + 7 =
  4. 4.12345679 × 54 =
  5. 5.1234 × 8 + 4 =
  6. 6.12345679 × 27 =
  7. 7.12 × 9 + 3 =
  8. 8.37 × 12 =
  9. 9.37 × 21 =
  10. 10.37 × 15 =
  11. 11.37 × 9 =
  12. 12.37 × 6 =
  13. 13.111 × 111 =
  14. 14.12345679 × 18 =
  15. 15.12345 × 8 + 5 =
  16. 16.1234567 × 9 + 8 =
  17. 17.1234 × 9 + 5 =
  18. 18.37 × 24 =
  19. 19.12345678 × 8 + 8 =
  20. 20.12345679 × 63 =
  21. 21.111111 × 111111 =
  22. 22.123 × 9 + 4 =
  23. 23.37 × 27 =
  24. 24.12 × 8 + 2 =
  25. 25.12345 × 9 + 6 =
  26. 26.123 × 8 + 3 =
  27. 27.12345679 × 9 =
  28. 28.1111 × 1111 =
  29. 29.12345679 × 36 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345679 × 54 =
  32. 32.37 × 3 =
  33. 33.11 × 11 =
  34. 34.37 × 18 =
  35. 35.11111 × 11111 =
  36. 36.123456789 × 8 + 9 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 72 =
  39. 39.12345679 × 81 =
  40. 40.12345679 × 81 =

Answer key

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

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