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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 713 · 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. 1.12345679 × 81 =
  2. 2.37 × 24 =
  3. 3.37 × 18 =
  4. 4.1111 × 1111 =
  5. 5.37 × 3 =
  6. 6.123456789 × 8 + 9 =
  7. 7.12345 × 9 + 6 =
  8. 8.123456 × 8 + 6 =
  9. 9.12345679 × 45 =
  10. 10.1234 × 8 + 4 =
  11. 11.37 × 21 =
  12. 12.37 × 9 =
  13. 13.11111 × 11111 =
  14. 14.12345679 × 63 =
  15. 15.111 × 111 =
  16. 16.12 × 8 + 2 =
  17. 17.12345679 × 9 =
  18. 18.37 × 15 =
  19. 19.12345678 × 9 + 9 =
  20. 20.37 × 6 =
  21. 21.12345679 × 72 =
  22. 22.37 × 27 =
  23. 23.37 × 12 =
  24. 24.12345 × 8 + 5 =
  25. 25.11 × 11 =
  26. 26.12345678 × 8 + 8 =
  27. 27.123456 × 9 + 7 =
  28. 28.12345679 × 36 =
  29. 29.12 × 9 + 3 =
  30. 30.123 × 9 + 4 =
  31. 31.1234 × 9 + 5 =
  32. 32.12345679 × 27 =
  33. 33.37 × 9 =
  34. 34.12345679 × 54 =
  35. 35.12345679 × 18 =
  36. 36.123 × 8 + 3 =
  37. 37.111111 × 111111 =
  38. 38.1234567 × 8 + 7 =
  39. 39.1234567 × 9 + 8 =
  40. 40.37 × 3 =

Answer key

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

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