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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 867 · 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. 1.11 × 11 =
  2. 2.37 × 9 =
  3. 3.37 × 12 =
  4. 4.111111 × 111111 =
  5. 5.12 × 9 + 3 =
  6. 6.37 × 21 =
  7. 7.37 × 18 =
  8. 8.123 × 8 + 3 =
  9. 9.1234 × 9 + 5 =
  10. 10.37 × 27 =
  11. 11.12345679 × 9 =
  12. 12.1234567 × 9 + 8 =
  13. 13.12345679 × 27 =
  14. 14.12345679 × 45 =
  15. 15.123456 × 9 + 7 =
  16. 16.11111 × 11111 =
  17. 17.1234 × 8 + 4 =
  18. 18.111 × 111 =
  19. 19.12345678 × 8 + 8 =
  20. 20.12345679 × 63 =
  21. 21.12345 × 9 + 6 =
  22. 22.123 × 9 + 4 =
  23. 23.123456 × 8 + 6 =
  24. 24.12345679 × 36 =
  25. 25.12345679 × 54 =
  26. 26.12 × 8 + 2 =
  27. 27.123456789 × 8 + 9 =
  28. 28.12345679 × 72 =
  29. 29.1111 × 1111 =
  30. 30.12345678 × 9 + 9 =
  31. 31.12345 × 8 + 5 =
  32. 32.37 × 3 =
  33. 33.12345679 × 81 =
  34. 34.37 × 6 =
  35. 35.12345 × 9 + 6 =
  36. 36.1234567 × 8 + 7 =
  37. 37.12345679 × 18 =
  38. 38.11 × 11 =
  39. 39.37 × 15 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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