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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 998 · 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 × 24 =
  3. 3.12345679 × 36 =
  4. 4.37 × 9 =
  5. 5.12345679 × 63 =
  6. 6.123 × 9 + 4 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12 × 9 + 3 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 72 =
  11. 11.11111 × 11111 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 3 =
  14. 14.12345678 × 9 + 9 =
  15. 15.12345679 × 18 =
  16. 16.12345 × 9 + 6 =
  17. 17.37 × 12 =
  18. 18.12345679 × 81 =
  19. 19.1234 × 9 + 5 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12345679 × 9 =
  22. 22.37 × 6 =
  23. 23.123456 × 9 + 7 =
  24. 24.37 × 21 =
  25. 25.12345679 × 54 =
  26. 26.1234 × 8 + 4 =
  27. 27.1111 × 1111 =
  28. 28.123 × 8 + 3 =
  29. 29.11 × 11 =
  30. 30.12345679 × 27 =
  31. 31.37 × 27 =
  32. 32.12 × 8 + 2 =
  33. 33.1234 × 9 + 5 =
  34. 34.1234567 × 8 + 7 =
  35. 35.111111 × 111111 =
  36. 36.12345 × 8 + 5 =
  37. 37.1111 × 1111 =
  38. 38.12345679 × 45 =
  39. 39.1234 × 9 + 5 =
  40. 40.37 × 18 =

Answer key

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

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