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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 882 · 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. 1.12 × 9 + 3 =
  2. 2.37 × 27 =
  3. 3.37 × 24 =
  4. 4.12345679 × 9 =
  5. 5.37 × 21 =
  6. 6.37 × 6 =
  7. 7.1111 × 1111 =
  8. 8.12345679 × 54 =
  9. 9.12345678 × 8 + 8 =
  10. 10.11111 × 11111 =
  11. 11.37 × 18 =
  12. 12.12345679 × 18 =
  13. 13.1234567 × 9 + 8 =
  14. 14.111111 × 111111 =
  15. 15.1234567 × 8 + 7 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345678 × 9 + 9 =
  18. 18.12345679 × 45 =
  19. 19.12345679 × 36 =
  20. 20.123456 × 8 + 6 =
  21. 21.123456789 × 8 + 9 =
  22. 22.111 × 111 =
  23. 23.11 × 11 =
  24. 24.123 × 9 + 4 =
  25. 25.37 × 3 =
  26. 26.12345679 × 72 =
  27. 27.12345679 × 63 =
  28. 28.12345 × 9 + 6 =
  29. 29.12345 × 8 + 5 =
  30. 30.12345679 × 27 =
  31. 31.123456 × 9 + 7 =
  32. 32.37 × 12 =
  33. 33.37 × 9 =
  34. 34.37 × 15 =
  35. 35.12 × 9 + 3 =
  36. 36.12345679 × 81 =
  37. 37.123 × 8 + 3 =
  38. 38.1234 × 8 + 4 =
  39. 39.12 × 8 + 2 =
  40. 40.37 × 15 =

Answer key

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

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