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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 966 · 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. 1.37 × 6 =
  2. 2.1111 × 1111 =
  3. 3.123 × 8 + 3 =
  4. 4.111111 × 111111 =
  5. 5.12345679 × 72 =
  6. 6.37 × 12 =
  7. 7.12345679 × 45 =
  8. 8.37 × 15 =
  9. 9.37 × 27 =
  10. 10.12345679 × 81 =
  11. 11.37 × 21 =
  12. 12.11111 × 11111 =
  13. 13.1234567 × 8 + 7 =
  14. 14.123456789 × 8 + 9 =
  15. 15.123456 × 9 + 7 =
  16. 16.12345679 × 54 =
  17. 17.37 × 9 =
  18. 18.11 × 11 =
  19. 19.12345679 × 18 =
  20. 20.12345678 × 9 + 9 =
  21. 21.1234 × 8 + 4 =
  22. 22.12345679 × 27 =
  23. 23.12345679 × 63 =
  24. 24.1234 × 9 + 5 =
  25. 25.111 × 111 =
  26. 26.12345 × 8 + 5 =
  27. 27.123 × 9 + 4 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345679 × 9 =
  30. 30.12345679 × 36 =
  31. 31.37 × 24 =
  32. 32.12 × 8 + 2 =
  33. 33.1234567 × 9 + 8 =
  34. 34.37 × 18 =
  35. 35.1111 × 1111 =
  36. 36.37 × 6 =
  37. 37.12345 × 9 + 6 =
  38. 38.12 × 9 + 3 =
  39. 39.12345679 × 81 =
  40. 40.111 × 111 =

Answer key

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

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