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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 995 · 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. 1.111111 × 111111 =
  2. 2.12345679 × 72 =
  3. 3.12345679 × 63 =
  4. 4.12345 × 8 + 5 =
  5. 5.37 × 3 =
  6. 6.37 × 27 =
  7. 7.123 × 8 + 3 =
  8. 8.12345679 × 81 =
  9. 9.1234567 × 8 + 7 =
  10. 10.12345678 × 8 + 8 =
  11. 11.12345679 × 9 =
  12. 12.111 × 111 =
  13. 13.37 × 15 =
  14. 14.1111 × 1111 =
  15. 15.37 × 9 =
  16. 16.37 × 24 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345679 × 54 =
  19. 19.123456 × 9 + 7 =
  20. 20.12345679 × 45 =
  21. 21.37 × 6 =
  22. 22.11111 × 11111 =
  23. 23.12345679 × 27 =
  24. 24.1234567 × 9 + 8 =
  25. 25.11 × 11 =
  26. 26.12 × 9 + 3 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 12 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345679 × 36 =
  31. 31.123 × 9 + 4 =
  32. 32.12345679 × 18 =
  33. 33.12345 × 9 + 6 =
  34. 34.123456 × 8 + 6 =
  35. 35.12 × 8 + 2 =
  36. 36.37 × 21 =
  37. 37.123456789 × 8 + 9 =
  38. 38.37 × 18 =
  39. 39.11 × 11 =
  40. 40.1111 × 1111 =

Answer key

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

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