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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 394 · 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. 2.123 × 9 + 4 =
  3. 3.1234 × 8 + 4 =
  4. 4.12345679 × 9 =
  5. 5.37 × 9 =
  6. 6.123456 × 9 + 7 =
  7. 7.37 × 27 =
  8. 8.37 × 24 =
  9. 9.12345679 × 54 =
  10. 10.12345679 × 72 =
  11. 11.1234 × 9 + 5 =
  12. 12.12345 × 9 + 6 =
  13. 13.11 × 11 =
  14. 14.12345678 × 9 + 9 =
  15. 15.12 × 8 + 2 =
  16. 16.37 × 15 =
  17. 17.12345679 × 36 =
  18. 18.37 × 21 =
  19. 19.12 × 9 + 3 =
  20. 20.111 × 111 =
  21. 21.12345679 × 81 =
  22. 22.1234567 × 8 + 7 =
  23. 23.37 × 6 =
  24. 24.12345679 × 27 =
  25. 25.12345679 × 63 =
  26. 26.123456789 × 8 + 9 =
  27. 27.1111 × 1111 =
  28. 28.1234567 × 9 + 8 =
  29. 29.37 × 3 =
  30. 30.12345 × 8 + 5 =
  31. 31.11111 × 11111 =
  32. 32.37 × 18 =
  33. 33.123 × 8 + 3 =
  34. 34.37 × 12 =
  35. 35.12 × 9 + 3 =
  36. 36.12345679 × 18 =
  37. 37.12345679 × 63 =
  38. 38.12345679 × 45 =
  39. 39.12345679 × 63 =
  40. 40.37 × 3 =

Answer key

  1. 12345654321
  2. 1111
  3. 9876
  4. 111111111
  5. 333
  6. 1111111
  7. 999
  8. 888
  9. 666666666
  10. 888888888
  11. 11111
  12. 111111
  13. 121
  14. 111111111
  15. 98
  16. 555
  17. 444444444
  18. 777
  19. 111
  20. 12321
  21. 999999999
  22. 9876543
  23. 222
  24. 333333333
  25. 777777777
  26. 987654321
  27. 1234321
  28. 11111111
  29. 111
  30. 98765
  31. 123454321
  32. 666
  33. 987
  34. 444
  35. 111
  36. 222222222
  37. 777777777
  38. 555555555
  39. 777777777
  40. 111

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