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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 789 · 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. 1.123456 × 9 + 7 =
  2. 2.12345679 × 45 =
  3. 3.37 × 3 =
  4. 4.111111 × 111111 =
  5. 5.37 × 9 =
  6. 6.12 × 9 + 3 =
  7. 7.37 × 6 =
  8. 8.12345679 × 81 =
  9. 9.1111 × 1111 =
  10. 10.1234567 × 9 + 8 =
  11. 11.123 × 9 + 4 =
  12. 12.12 × 8 + 2 =
  13. 13.111 × 111 =
  14. 14.37 × 18 =
  15. 15.11 × 11 =
  16. 16.12345678 × 8 + 8 =
  17. 17.37 × 12 =
  18. 18.37 × 24 =
  19. 19.12345679 × 27 =
  20. 20.12345679 × 63 =
  21. 21.12345679 × 72 =
  22. 22.12345679 × 36 =
  23. 23.12345 × 9 + 6 =
  24. 24.12345679 × 9 =
  25. 25.123456789 × 8 + 9 =
  26. 26.123 × 8 + 3 =
  27. 27.37 × 21 =
  28. 28.37 × 27 =
  29. 29.12345678 × 9 + 9 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345679 × 54 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345679 × 36 =
  34. 34.11111 × 11111 =
  35. 35.12345679 × 18 =
  36. 36.12345 × 8 + 5 =
  37. 37.1234 × 8 + 4 =
  38. 38.37 × 15 =
  39. 39.1111 × 1111 =
  40. 40.1111 × 1111 =

Answer key

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

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