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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 722 · 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. 1.37 × 24 =
  2. 2.11 × 11 =
  3. 3.1234567 × 9 + 8 =
  4. 4.111 × 111 =
  5. 5.111111 × 111111 =
  6. 6.1234 × 9 + 5 =
  7. 7.1234567 × 8 + 7 =
  8. 8.123456 × 9 + 7 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 3 =
  11. 11.37 × 21 =
  12. 12.12345679 × 72 =
  13. 13.37 × 9 =
  14. 14.12345679 × 36 =
  15. 15.12345679 × 63 =
  16. 16.37 × 27 =
  17. 17.37 × 6 =
  18. 18.12345678 × 8 + 8 =
  19. 19.12345679 × 27 =
  20. 20.1111 × 1111 =
  21. 21.12345 × 8 + 5 =
  22. 22.11111 × 11111 =
  23. 23.12 × 9 + 3 =
  24. 24.1234 × 8 + 4 =
  25. 25.12345679 × 18 =
  26. 26.123 × 9 + 4 =
  27. 27.12345 × 9 + 6 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 18 =
  30. 30.12345679 × 45 =
  31. 31.111 × 111 =
  32. 32.37 × 12 =
  33. 33.12345679 × 9 =
  34. 34.12345679 × 81 =
  35. 35.12345679 × 54 =
  36. 36.1234 × 8 + 4 =
  37. 37.123456 × 8 + 6 =
  38. 38.12 × 8 + 2 =
  39. 39.37 × 15 =
  40. 40.111 × 111 =

Answer key

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

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