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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 241 · 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. 1.37 × 21 =
  2. 2.37 × 9 =
  3. 3.111 × 111 =
  4. 4.12 × 9 + 3 =
  5. 5.37 × 15 =
  6. 6.1234567 × 9 + 8 =
  7. 7.37 × 24 =
  8. 8.12345679 × 36 =
  9. 9.12345 × 8 + 5 =
  10. 10.12345678 × 8 + 8 =
  11. 11.1111 × 1111 =
  12. 12.1234567 × 8 + 7 =
  13. 13.1234 × 8 + 4 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345679 × 72 =
  16. 16.123 × 8 + 3 =
  17. 17.12345679 × 27 =
  18. 18.37 × 3 =
  19. 19.111111 × 111111 =
  20. 20.12345679 × 9 =
  21. 21.12345679 × 81 =
  22. 22.11 × 11 =
  23. 23.37 × 18 =
  24. 24.37 × 6 =
  25. 25.12345679 × 18 =
  26. 26.123456 × 9 + 7 =
  27. 27.12345678 × 9 + 9 =
  28. 28.11111 × 11111 =
  29. 29.12 × 8 + 2 =
  30. 30.12345679 × 45 =
  31. 31.123 × 9 + 4 =
  32. 32.12345 × 9 + 6 =
  33. 33.11 × 11 =
  34. 34.12345679 × 63 =
  35. 35.123456 × 8 + 6 =
  36. 36.37 × 27 =
  37. 37.123 × 9 + 4 =
  38. 38.37 × 12 =
  39. 39.12345679 × 54 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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