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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 855 · 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 × 3 =
  2. 2.12 × 8 + 2 =
  3. 3.37 × 21 =
  4. 4.12345679 × 63 =
  5. 5.12345679 × 72 =
  6. 6.1234 × 9 + 5 =
  7. 7.12345 × 8 + 5 =
  8. 8.1111 × 1111 =
  9. 9.37 × 12 =
  10. 10.1234 × 8 + 4 =
  11. 11.123456789 × 8 + 9 =
  12. 12.37 × 9 =
  13. 13.123456 × 9 + 7 =
  14. 14.1234567 × 9 + 8 =
  15. 15.11 × 11 =
  16. 16.123 × 9 + 4 =
  17. 17.12345679 × 36 =
  18. 18.12345679 × 9 =
  19. 19.37 × 27 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12345 × 9 + 6 =
  22. 22.12345679 × 18 =
  23. 23.111 × 111 =
  24. 24.12345679 × 45 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 27 =
  27. 27.37 × 6 =
  28. 28.111111 × 111111 =
  29. 29.123456 × 8 + 6 =
  30. 30.11111 × 11111 =
  31. 31.12345679 × 54 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12 × 9 + 3 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345679 × 81 =
  36. 36.12345679 × 9 =
  37. 37.37 × 24 =
  38. 38.12345678 × 9 + 9 =
  39. 39.37 × 18 =
  40. 40.37 × 27 =

Answer key

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

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