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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 778 · 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. 1.12345 × 9 + 6 =
  2. 2.12345679 × 81 =
  3. 3.12345679 × 54 =
  4. 4.37 × 9 =
  5. 5.1234 × 8 + 4 =
  6. 6.123 × 8 + 3 =
  7. 7.12345679 × 27 =
  8. 8.1234 × 9 + 5 =
  9. 9.12345679 × 36 =
  10. 10.1111 × 1111 =
  11. 11.111 × 111 =
  12. 12.12 × 9 + 3 =
  13. 13.11 × 11 =
  14. 14.37 × 15 =
  15. 15.37 × 27 =
  16. 16.1234567 × 9 + 8 =
  17. 17.12345678 × 8 + 8 =
  18. 18.12345679 × 9 =
  19. 19.12 × 8 + 2 =
  20. 20.12345679 × 63 =
  21. 21.12345679 × 18 =
  22. 22.12345679 × 45 =
  23. 23.37 × 24 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345 × 8 + 5 =
  26. 26.37 × 3 =
  27. 27.12345678 × 9 + 9 =
  28. 28.123 × 9 + 4 =
  29. 29.12345679 × 72 =
  30. 30.12345679 × 81 =
  31. 31.11111 × 11111 =
  32. 32.37 × 18 =
  33. 33.111111 × 111111 =
  34. 34.123456 × 9 + 7 =
  35. 35.37 × 6 =
  36. 36.12345679 × 18 =
  37. 37.123456 × 8 + 6 =
  38. 38.37 × 12 =
  39. 39.111111 × 111111 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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