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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 798 · 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. 2.12345678 × 8 + 8 =
  3. 3.12345679 × 54 =
  4. 4.12345679 × 18 =
  5. 5.11111 × 11111 =
  6. 6.123456 × 9 + 7 =
  7. 7.12345679 × 81 =
  8. 8.37 × 3 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 18 =
  11. 11.11 × 11 =
  12. 12.12345 × 8 + 5 =
  13. 13.111111 × 111111 =
  14. 14.12345 × 9 + 6 =
  15. 15.123 × 9 + 4 =
  16. 16.37 × 9 =
  17. 17.12345679 × 27 =
  18. 18.12345679 × 72 =
  19. 19.1234 × 8 + 4 =
  20. 20.111 × 111 =
  21. 21.12345679 × 9 =
  22. 22.37 × 15 =
  23. 23.12 × 8 + 2 =
  24. 24.123456 × 8 + 6 =
  25. 25.37 × 12 =
  26. 26.37 × 21 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345679 × 45 =
  29. 29.12345678 × 9 + 9 =
  30. 30.1234567 × 9 + 8 =
  31. 31.12345679 × 63 =
  32. 32.123456789 × 8 + 9 =
  33. 33.12 × 9 + 3 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12345679 × 36 =
  36. 36.37 × 24 =
  37. 37.123 × 8 + 3 =
  38. 38.37 × 12 =
  39. 39.37 × 27 =
  40. 40.12345679 × 54 =

Answer key

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

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