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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 544 · 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. 1.12 × 9 + 3 =
  2. 2.37 × 9 =
  3. 3.11 × 11 =
  4. 4.1111 × 1111 =
  5. 5.12345679 × 18 =
  6. 6.1234567 × 9 + 8 =
  7. 7.37 × 3 =
  8. 8.12345678 × 8 + 8 =
  9. 9.123456 × 9 + 7 =
  10. 10.12345679 × 54 =
  11. 11.11111 × 11111 =
  12. 12.111111 × 111111 =
  13. 13.12345 × 9 + 6 =
  14. 14.111 × 111 =
  15. 15.123456789 × 8 + 9 =
  16. 16.37 × 24 =
  17. 17.37 × 12 =
  18. 18.1234567 × 8 + 7 =
  19. 19.12345679 × 27 =
  20. 20.1234 × 8 + 4 =
  21. 21.12345679 × 36 =
  22. 22.12345679 × 9 =
  23. 23.1234 × 9 + 5 =
  24. 24.12345679 × 72 =
  25. 25.12345679 × 81 =
  26. 26.12345679 × 63 =
  27. 27.12 × 8 + 2 =
  28. 28.12345679 × 45 =
  29. 29.37 × 18 =
  30. 30.12345679 × 54 =
  31. 31.37 × 27 =
  32. 32.37 × 15 =
  33. 33.123456 × 8 + 6 =
  34. 34.123 × 8 + 3 =
  35. 35.12345678 × 9 + 9 =
  36. 36.1234 × 8 + 4 =
  37. 37.37 × 21 =
  38. 38.12345 × 8 + 5 =
  39. 39.12345678 × 9 + 9 =
  40. 40.37 × 21 =

Answer key

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

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