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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 938 · 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. 2.37 × 18 =
  3. 3.123 × 8 + 3 =
  4. 4.12345 × 8 + 5 =
  5. 5.12345 × 9 + 6 =
  6. 6.12 × 9 + 3 =
  7. 7.12 × 8 + 2 =
  8. 8.123456 × 9 + 7 =
  9. 9.11111 × 11111 =
  10. 10.1234 × 8 + 4 =
  11. 11.12345678 × 8 + 8 =
  12. 12.12345679 × 54 =
  13. 13.1234567 × 9 + 8 =
  14. 14.37 × 6 =
  15. 15.37 × 24 =
  16. 16.37 × 21 =
  17. 17.12345678 × 9 + 9 =
  18. 18.12345679 × 36 =
  19. 19.11 × 11 =
  20. 20.37 × 12 =
  21. 21.37 × 9 =
  22. 22.111111 × 111111 =
  23. 23.123 × 9 + 4 =
  24. 24.37 × 3 =
  25. 25.1111 × 1111 =
  26. 26.12345679 × 45 =
  27. 27.37 × 27 =
  28. 28.11111 × 11111 =
  29. 29.12345679 × 63 =
  30. 30.12345679 × 27 =
  31. 31.12345679 × 72 =
  32. 32.123456 × 8 + 6 =
  33. 33.12345679 × 18 =
  34. 34.12345679 × 9 =
  35. 35.37 × 15 =
  36. 36.37 × 24 =
  37. 37.1234567 × 8 + 7 =
  38. 38.1234 × 8 + 4 =
  39. 39.111 × 111 =
  40. 40.12345679 × 81 =

Answer key

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

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