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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 568 · 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. 1.111 × 111 =
  2. 2.11111 × 11111 =
  3. 3.12345 × 9 + 6 =
  4. 4.12345679 × 72 =
  5. 5.37 × 24 =
  6. 6.123456789 × 8 + 9 =
  7. 7.37 × 6 =
  8. 8.37 × 12 =
  9. 9.1111 × 1111 =
  10. 10.37 × 9 =
  11. 11.123456 × 8 + 6 =
  12. 12.12 × 8 + 2 =
  13. 13.11 × 11 =
  14. 14.37 × 18 =
  15. 15.37 × 15 =
  16. 16.111111 × 111111 =
  17. 17.12345679 × 27 =
  18. 18.12345 × 8 + 5 =
  19. 19.123 × 9 + 4 =
  20. 20.1234 × 8 + 4 =
  21. 21.1234 × 9 + 5 =
  22. 22.12345678 × 8 + 8 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 36 =
  25. 25.12345679 × 45 =
  26. 26.12 × 9 + 3 =
  27. 27.123 × 8 + 3 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345679 × 18 =
  30. 30.12345679 × 54 =
  31. 31.12345678 × 9 + 9 =
  32. 32.12345679 × 63 =
  33. 33.12345679 × 9 =
  34. 34.37 × 3 =
  35. 35.37 × 21 =
  36. 36.12345679 × 81 =
  37. 37.12345679 × 72 =
  38. 38.37 × 27 =
  39. 39.1234567 × 9 + 8 =
  40. 40.12345679 × 18 =

Answer key

  1. 12321
  2. 123454321
  3. 111111
  4. 888888888
  5. 888
  6. 987654321
  7. 222
  8. 444
  9. 1234321
  10. 333
  11. 987654
  12. 98
  13. 121
  14. 666
  15. 555
  16. 12345654321
  17. 333333333
  18. 98765
  19. 1111
  20. 9876
  21. 11111
  22. 98765432
  23. 1111111
  24. 444444444
  25. 555555555
  26. 111
  27. 987
  28. 9876543
  29. 222222222
  30. 666666666
  31. 111111111
  32. 777777777
  33. 111111111
  34. 111
  35. 777
  36. 999999999
  37. 888888888
  38. 999
  39. 11111111
  40. 222222222

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