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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 474 · 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. 2.12 × 8 + 2 =
  3. 3.12345679 × 45 =
  4. 4.37 × 9 =
  5. 5.12345679 × 27 =
  6. 6.37 × 15 =
  7. 7.12 × 9 + 3 =
  8. 8.1234 × 8 + 4 =
  9. 9.12345679 × 81 =
  10. 10.123456 × 9 + 7 =
  11. 11.12345678 × 9 + 9 =
  12. 12.37 × 3 =
  13. 13.12345679 × 72 =
  14. 14.12345679 × 63 =
  15. 15.1234 × 9 + 5 =
  16. 16.37 × 18 =
  17. 17.111 × 111 =
  18. 18.12345679 × 9 =
  19. 19.12345679 × 18 =
  20. 20.1234567 × 8 + 7 =
  21. 21.123456789 × 8 + 9 =
  22. 22.37 × 6 =
  23. 23.11111 × 11111 =
  24. 24.12345 × 9 + 6 =
  25. 25.12345 × 8 + 5 =
  26. 26.12345679 × 36 =
  27. 27.123 × 9 + 4 =
  28. 28.111111 × 111111 =
  29. 29.12345679 × 54 =
  30. 30.123 × 8 + 3 =
  31. 31.37 × 27 =
  32. 32.1111 × 1111 =
  33. 33.37 × 24 =
  34. 34.37 × 12 =
  35. 35.111 × 111 =
  36. 36.12345679 × 9 =
  37. 37.37 × 21 =
  38. 38.12345679 × 81 =
  39. 39.37 × 3 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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