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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 978 · 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. 1.12 × 9 + 3 =
  2. 2.123456 × 9 + 7 =
  3. 3.12345679 × 54 =
  4. 4.37 × 24 =
  5. 5.11 × 11 =
  6. 6.12345679 × 27 =
  7. 7.12345679 × 36 =
  8. 8.37 × 18 =
  9. 9.1234 × 9 + 5 =
  10. 10.111 × 111 =
  11. 11.1111 × 1111 =
  12. 12.37 × 12 =
  13. 13.12345679 × 9 =
  14. 14.12345 × 9 + 6 =
  15. 15.123 × 8 + 3 =
  16. 16.12345679 × 18 =
  17. 17.37 × 6 =
  18. 18.1234567 × 9 + 8 =
  19. 19.12345679 × 72 =
  20. 20.37 × 21 =
  21. 21.12345678 × 8 + 8 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345 × 8 + 5 =
  24. 24.111111 × 111111 =
  25. 25.37 × 15 =
  26. 26.12345679 × 45 =
  27. 27.11111 × 11111 =
  28. 28.123456789 × 8 + 9 =
  29. 29.12345679 × 81 =
  30. 30.123 × 9 + 4 =
  31. 31.1234 × 8 + 4 =
  32. 32.37 × 3 =
  33. 33.37 × 27 =
  34. 34.12345678 × 9 + 9 =
  35. 35.12 × 8 + 2 =
  36. 36.11111 × 11111 =
  37. 37.12345678 × 9 + 9 =
  38. 38.37 × 9 =
  39. 39.12 × 8 + 2 =
  40. 40.12345679 × 54 =

Answer key

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

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