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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 833 · 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. 1.1111 × 1111 =
  2. 2.12345 × 9 + 6 =
  3. 3.12345679 × 63 =
  4. 4.12345678 × 9 + 9 =
  5. 5.123 × 9 + 4 =
  6. 6.12345679 × 9 =
  7. 7.12 × 8 + 2 =
  8. 8.12345679 × 36 =
  9. 9.12 × 9 + 3 =
  10. 10.37 × 3 =
  11. 11.12345679 × 72 =
  12. 12.37 × 27 =
  13. 13.37 × 21 =
  14. 14.111 × 111 =
  15. 15.12345679 × 54 =
  16. 16.12345679 × 45 =
  17. 17.12345 × 8 + 5 =
  18. 18.123456789 × 8 + 9 =
  19. 19.12345679 × 81 =
  20. 20.11 × 11 =
  21. 21.37 × 12 =
  22. 22.12345679 × 27 =
  23. 23.123456 × 9 + 7 =
  24. 24.111111 × 111111 =
  25. 25.123 × 8 + 3 =
  26. 26.37 × 24 =
  27. 27.37 × 6 =
  28. 28.12345679 × 18 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345678 × 8 + 8 =
  31. 31.37 × 9 =
  32. 32.1234 × 9 + 5 =
  33. 33.1234567 × 9 + 8 =
  34. 34.123456 × 8 + 6 =
  35. 35.37 × 15 =
  36. 36.1234567 × 8 + 7 =
  37. 37.11111 × 11111 =
  38. 38.12345679 × 81 =
  39. 39.1234 × 8 + 4 =
  40. 40.37 × 18 =

Answer key

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

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