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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 772 · 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 × 27 =
  3. 3.37 × 12 =
  4. 4.37 × 24 =
  5. 5.12345679 × 81 =
  6. 6.123 × 8 + 3 =
  7. 7.12345678 × 8 + 8 =
  8. 8.37 × 3 =
  9. 9.12345679 × 18 =
  10. 10.37 × 9 =
  11. 11.12345679 × 9 =
  12. 12.11111 × 11111 =
  13. 13.123456 × 9 + 7 =
  14. 14.1234 × 9 + 5 =
  15. 15.1234567 × 8 + 7 =
  16. 16.12345 × 9 + 6 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 54 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345678 × 9 + 9 =
  21. 21.12345679 × 63 =
  22. 22.1234567 × 9 + 8 =
  23. 23.1234 × 8 + 4 =
  24. 24.1111 × 1111 =
  25. 25.123456 × 8 + 6 =
  26. 26.12 × 8 + 2 =
  27. 27.11 × 11 =
  28. 28.111111 × 111111 =
  29. 29.12345679 × 45 =
  30. 30.37 × 15 =
  31. 31.37 × 27 =
  32. 32.37 × 21 =
  33. 33.37 × 6 =
  34. 34.37 × 18 =
  35. 35.12345679 × 9 =
  36. 36.12345 × 8 + 5 =
  37. 37.11111 × 11111 =
  38. 38.12345679 × 36 =
  39. 39.12 × 9 + 3 =
  40. 40.37 × 9 =

Answer key

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

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