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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 876 · 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. 1.111 × 111 =
  2. 2.12345679 × 54 =
  3. 3.12345 × 9 + 6 =
  4. 4.37 × 21 =
  5. 5.12 × 9 + 3 =
  6. 6.1111 × 1111 =
  7. 7.12345679 × 72 =
  8. 8.37 × 15 =
  9. 9.11 × 11 =
  10. 10.37 × 9 =
  11. 11.1234 × 9 + 5 =
  12. 12.12345679 × 9 =
  13. 13.1234 × 8 + 4 =
  14. 14.12345679 × 81 =
  15. 15.37 × 18 =
  16. 16.12345679 × 27 =
  17. 17.1234567 × 8 + 7 =
  18. 18.12345678 × 9 + 9 =
  19. 19.12345679 × 18 =
  20. 20.12345679 × 45 =
  21. 21.12345678 × 8 + 8 =
  22. 22.123456789 × 8 + 9 =
  23. 23.12345 × 8 + 5 =
  24. 24.111111 × 111111 =
  25. 25.37 × 24 =
  26. 26.123456 × 9 + 7 =
  27. 27.123456 × 8 + 6 =
  28. 28.123 × 9 + 4 =
  29. 29.37 × 6 =
  30. 30.37 × 27 =
  31. 31.123 × 8 + 3 =
  32. 32.12345679 × 36 =
  33. 33.12 × 8 + 2 =
  34. 34.37 × 12 =
  35. 35.11111 × 11111 =
  36. 36.12345679 × 63 =
  37. 37.12345678 × 9 + 9 =
  38. 38.37 × 21 =
  39. 39.12345679 × 18 =
  40. 40.12 × 8 + 2 =

Answer key

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

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