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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 813 · 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. 1.1234 × 9 + 5 =
  2. 2.12345679 × 54 =
  3. 3.12345679 × 63 =
  4. 4.12345679 × 9 =
  5. 5.37 × 27 =
  6. 6.37 × 12 =
  7. 7.12345678 × 9 + 9 =
  8. 8.1111 × 1111 =
  9. 9.37 × 18 =
  10. 10.123456789 × 8 + 9 =
  11. 11.37 × 9 =
  12. 12.1234 × 8 + 4 =
  13. 13.12 × 9 + 3 =
  14. 14.11 × 11 =
  15. 15.37 × 6 =
  16. 16.123456 × 8 + 6 =
  17. 17.111 × 111 =
  18. 18.1234567 × 9 + 8 =
  19. 19.37 × 3 =
  20. 20.12345679 × 27 =
  21. 21.37 × 24 =
  22. 22.12345 × 9 + 6 =
  23. 23.12345679 × 72 =
  24. 24.12 × 8 + 2 =
  25. 25.37 × 21 =
  26. 26.12345679 × 45 =
  27. 27.12345679 × 36 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345679 × 81 =
  30. 30.12345 × 8 + 5 =
  31. 31.123456 × 9 + 7 =
  32. 32.37 × 15 =
  33. 33.123 × 8 + 3 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12345 × 9 + 6 =
  36. 36.11 × 11 =
  37. 37.123 × 9 + 4 =
  38. 38.11111 × 11111 =
  39. 39.12345679 × 18 =
  40. 40.111111 × 111111 =

Answer key

  1. 11111
  2. 666666666
  3. 777777777
  4. 111111111
  5. 999
  6. 444
  7. 111111111
  8. 1234321
  9. 666
  10. 987654321
  11. 333
  12. 9876
  13. 111
  14. 121
  15. 222
  16. 987654
  17. 12321
  18. 11111111
  19. 111
  20. 333333333
  21. 888
  22. 111111
  23. 888888888
  24. 98
  25. 777
  26. 555555555
  27. 444444444
  28. 98765432
  29. 999999999
  30. 98765
  31. 1111111
  32. 555
  33. 987
  34. 9876543
  35. 111111
  36. 121
  37. 1111
  38. 123454321
  39. 222222222
  40. 12345654321

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