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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 475 · 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. 1.111111 × 111111 =
  2. 2.12 × 8 + 2 =
  3. 3.11111 × 11111 =
  4. 4.11 × 11 =
  5. 5.12345679 × 63 =
  6. 6.12345678 × 8 + 8 =
  7. 7.12345679 × 45 =
  8. 8.1234567 × 8 + 7 =
  9. 9.37 × 3 =
  10. 10.12345679 × 81 =
  11. 11.111 × 111 =
  12. 12.37 × 24 =
  13. 13.1234 × 9 + 5 =
  14. 14.123456 × 9 + 7 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345 × 9 + 6 =
  18. 18.37 × 9 =
  19. 19.123 × 8 + 3 =
  20. 20.12345679 × 18 =
  21. 21.1111 × 1111 =
  22. 22.12345679 × 36 =
  23. 23.37 × 27 =
  24. 24.12345679 × 9 =
  25. 25.37 × 15 =
  26. 26.37 × 21 =
  27. 27.123 × 9 + 4 =
  28. 28.12345679 × 72 =
  29. 29.1234 × 8 + 4 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345678 × 9 + 9 =
  32. 32.123456 × 8 + 6 =
  33. 33.37 × 18 =
  34. 34.12345 × 8 + 5 =
  35. 35.37 × 6 =
  36. 36.37 × 12 =
  37. 37.12345679 × 9 =
  38. 38.11 × 11 =
  39. 39.12345679 × 27 =
  40. 40.12 × 9 + 3 =

Answer key

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

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