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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 206 · 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. 1.12345 × 9 + 6 =
  2. 2.11111 × 11111 =
  3. 3.12 × 9 + 3 =
  4. 4.11 × 11 =
  5. 5.111 × 111 =
  6. 6.37 × 3 =
  7. 7.37 × 21 =
  8. 8.12345679 × 18 =
  9. 9.1234567 × 8 + 7 =
  10. 10.12 × 8 + 2 =
  11. 11.37 × 15 =
  12. 12.37 × 9 =
  13. 13.1234 × 8 + 4 =
  14. 14.1111 × 1111 =
  15. 15.123456789 × 8 + 9 =
  16. 16.37 × 18 =
  17. 17.37 × 6 =
  18. 18.12345679 × 9 =
  19. 19.12345679 × 27 =
  20. 20.12345679 × 54 =
  21. 21.12345679 × 36 =
  22. 22.111111 × 111111 =
  23. 23.12345678 × 9 + 9 =
  24. 24.37 × 27 =
  25. 25.12345679 × 81 =
  26. 26.123456 × 9 + 7 =
  27. 27.37 × 12 =
  28. 28.12345 × 8 + 5 =
  29. 29.123 × 8 + 3 =
  30. 30.12345679 × 72 =
  31. 31.12345679 × 45 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 27 =
  34. 34.37 × 3 =
  35. 35.123 × 9 + 4 =
  36. 36.1234567 × 9 + 8 =
  37. 37.11111 × 11111 =
  38. 38.12345678 × 8 + 8 =
  39. 39.111111 × 111111 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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