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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 65 · 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. 1.111 × 111 =
  2. 2.123456789 × 8 + 9 =
  3. 3.11 × 11 =
  4. 4.12345679 × 45 =
  5. 5.37 × 3 =
  6. 6.12345679 × 9 =
  7. 7.123 × 9 + 4 =
  8. 8.37 × 24 =
  9. 9.123456 × 8 + 6 =
  10. 10.12345679 × 72 =
  11. 11.12345 × 8 + 5 =
  12. 12.37 × 6 =
  13. 13.12345 × 9 + 6 =
  14. 14.12345678 × 9 + 9 =
  15. 15.12345679 × 18 =
  16. 16.37 × 12 =
  17. 17.11111 × 11111 =
  18. 18.123 × 8 + 3 =
  19. 19.12 × 9 + 3 =
  20. 20.1234567 × 9 + 8 =
  21. 21.1111 × 1111 =
  22. 22.37 × 21 =
  23. 23.12345679 × 63 =
  24. 24.12 × 8 + 2 =
  25. 25.12345678 × 8 + 8 =
  26. 26.1234 × 8 + 4 =
  27. 27.37 × 18 =
  28. 28.111111 × 111111 =
  29. 29.37 × 9 =
  30. 30.123456 × 9 + 7 =
  31. 31.12345679 × 36 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 27 =
  34. 34.37 × 15 =
  35. 35.111 × 111 =
  36. 36.12345679 × 81 =
  37. 37.12345679 × 54 =
  38. 38.37 × 9 =
  39. 39.123456 × 9 + 7 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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