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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 788 · 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 × 63 =
  3. 3.12345 × 8 + 5 =
  4. 4.37 × 27 =
  5. 5.37 × 12 =
  6. 6.12345679 × 18 =
  7. 7.12345679 × 27 =
  8. 8.12345679 × 36 =
  9. 9.12345679 × 9 =
  10. 10.123 × 9 + 4 =
  11. 11.123456 × 8 + 6 =
  12. 12.123456 × 9 + 7 =
  13. 13.12345 × 9 + 6 =
  14. 14.1234 × 8 + 4 =
  15. 15.1111 × 1111 =
  16. 16.123 × 8 + 3 =
  17. 17.1234 × 9 + 5 =
  18. 18.11111 × 11111 =
  19. 19.12 × 8 + 2 =
  20. 20.37 × 24 =
  21. 21.12345679 × 81 =
  22. 22.12345678 × 9 + 9 =
  23. 23.37 × 15 =
  24. 24.12345679 × 54 =
  25. 25.37 × 18 =
  26. 26.12345679 × 72 =
  27. 27.111111 × 111111 =
  28. 28.1234567 × 8 + 7 =
  29. 29.1234567 × 9 + 8 =
  30. 30.12345679 × 45 =
  31. 31.11 × 11 =
  32. 32.37 × 21 =
  33. 33.37 × 3 =
  34. 34.37 × 9 =
  35. 35.11 × 11 =
  36. 36.37 × 6 =
  37. 37.12345678 × 8 + 8 =
  38. 38.123456789 × 8 + 9 =
  39. 39.37 × 18 =
  40. 40.12 × 9 + 3 =

Answer key

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

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