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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 346 · 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. 2.12345679 × 72 =
  3. 3.37 × 21 =
  4. 4.11 × 11 =
  5. 5.37 × 15 =
  6. 6.111 × 111 =
  7. 7.12345679 × 81 =
  8. 8.12345679 × 9 =
  9. 9.1234567 × 8 + 7 =
  10. 10.11111 × 11111 =
  11. 11.37 × 27 =
  12. 12.12345678 × 9 + 9 =
  13. 13.1234 × 8 + 4 =
  14. 14.123 × 9 + 4 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 63 =
  17. 17.12345679 × 36 =
  18. 18.12345679 × 27 =
  19. 19.12 × 9 + 3 =
  20. 20.123456 × 9 + 7 =
  21. 21.123456789 × 8 + 9 =
  22. 22.1234 × 9 + 5 =
  23. 23.37 × 9 =
  24. 24.12 × 8 + 2 =
  25. 25.12345679 × 54 =
  26. 26.37 × 24 =
  27. 27.12345679 × 45 =
  28. 28.12345 × 9 + 6 =
  29. 29.12345 × 8 + 5 =
  30. 30.1111 × 1111 =
  31. 31.37 × 27 =
  32. 32.12345678 × 8 + 8 =
  33. 33.37 × 6 =
  34. 34.37 × 12 =
  35. 35.123456 × 8 + 6 =
  36. 36.1111 × 1111 =
  37. 37.37 × 6 =
  38. 38.123 × 9 + 4 =
  39. 39.37 × 27 =
  40. 40.123 × 9 + 4 =

Answer key

  1. 12345654321
  2. 888888888
  3. 777
  4. 121
  5. 555
  6. 12321
  7. 999999999
  8. 111111111
  9. 9876543
  10. 123454321
  11. 999
  12. 111111111
  13. 9876
  14. 1111
  15. 11111111
  16. 777777777
  17. 444444444
  18. 333333333
  19. 111
  20. 1111111
  21. 987654321
  22. 11111
  23. 333
  24. 98
  25. 666666666
  26. 888
  27. 555555555
  28. 111111
  29. 98765
  30. 1234321
  31. 999
  32. 98765432
  33. 222
  34. 444
  35. 987654
  36. 1234321
  37. 222
  38. 1111
  39. 999
  40. 1111

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