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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 427 · 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. 1.1234 × 8 + 4 =
  2. 2.12345 × 9 + 6 =
  3. 3.111 × 111 =
  4. 4.37 × 15 =
  5. 5.37 × 21 =
  6. 6.11 × 11 =
  7. 7.111111 × 111111 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 54 =
  10. 10.12345679 × 81 =
  11. 11.37 × 9 =
  12. 12.11111 × 11111 =
  13. 13.1111 × 1111 =
  14. 14.12345679 × 27 =
  15. 15.37 × 6 =
  16. 16.12345678 × 8 + 8 =
  17. 17.12345679 × 45 =
  18. 18.1234 × 9 + 5 =
  19. 19.12345679 × 63 =
  20. 20.12345679 × 36 =
  21. 21.37 × 27 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 72 =
  24. 24.12345679 × 9 =
  25. 25.1234567 × 9 + 8 =
  26. 26.37 × 12 =
  27. 27.37 × 24 =
  28. 28.12 × 9 + 3 =
  29. 29.37 × 6 =
  30. 30.123 × 9 + 4 =
  31. 31.37 × 18 =
  32. 32.12345679 × 18 =
  33. 33.37 × 18 =
  34. 34.123456789 × 8 + 9 =
  35. 35.37 × 3 =
  36. 36.12 × 8 + 2 =
  37. 37.123456 × 9 + 7 =
  38. 38.37 × 6 =
  39. 39.12345 × 8 + 5 =
  40. 40.37 × 15 =

Answer key

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

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