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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 353 · 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. 1.12345679 × 81 =
  2. 2.11 × 11 =
  3. 3.123 × 9 + 4 =
  4. 4.12345678 × 9 + 9 =
  5. 5.123456 × 9 + 7 =
  6. 6.12345679 × 63 =
  7. 7.37 × 21 =
  8. 8.12345679 × 18 =
  9. 9.12 × 9 + 3 =
  10. 10.12345679 × 27 =
  11. 11.1234567 × 9 + 8 =
  12. 12.111 × 111 =
  13. 13.111111 × 111111 =
  14. 14.12345679 × 72 =
  15. 15.37 × 27 =
  16. 16.123 × 8 + 3 =
  17. 17.1234 × 9 + 5 =
  18. 18.12 × 8 + 2 =
  19. 19.1111 × 1111 =
  20. 20.37 × 6 =
  21. 21.12345679 × 9 =
  22. 22.1234 × 8 + 4 =
  23. 23.37 × 3 =
  24. 24.11111 × 11111 =
  25. 25.12345679 × 54 =
  26. 26.37 × 12 =
  27. 27.37 × 9 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345678 × 8 + 8 =
  30. 30.37 × 18 =
  31. 31.12345679 × 36 =
  32. 32.12345 × 9 + 6 =
  33. 33.37 × 24 =
  34. 34.12345 × 8 + 5 =
  35. 35.1234567 × 8 + 7 =
  36. 36.1111 × 1111 =
  37. 37.37 × 15 =
  38. 38.37 × 15 =
  39. 39.12345679 × 45 =
  40. 40.37 × 3 =

Answer key

  1. 999999999
  2. 121
  3. 1111
  4. 111111111
  5. 1111111
  6. 777777777
  7. 777
  8. 222222222
  9. 111
  10. 333333333
  11. 11111111
  12. 12321
  13. 12345654321
  14. 888888888
  15. 999
  16. 987
  17. 11111
  18. 98
  19. 1234321
  20. 222
  21. 111111111
  22. 9876
  23. 111
  24. 123454321
  25. 666666666
  26. 444
  27. 333
  28. 987654
  29. 98765432
  30. 666
  31. 444444444
  32. 111111
  33. 888
  34. 98765
  35. 9876543
  36. 1234321
  37. 555
  38. 555
  39. 555555555
  40. 111

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