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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 248 · 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 × 3 =
  2. 2.37 × 18 =
  3. 3.11 × 11 =
  4. 4.37 × 15 =
  5. 5.111 × 111 =
  6. 6.12345679 × 27 =
  7. 7.12345679 × 18 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 9 =
  10. 10.37 × 9 =
  11. 11.123456789 × 8 + 9 =
  12. 12.12345679 × 63 =
  13. 13.1111 × 1111 =
  14. 14.12345679 × 36 =
  15. 15.12345679 × 72 =
  16. 16.12345679 × 45 =
  17. 17.12345679 × 54 =
  18. 18.11111 × 11111 =
  19. 19.1234 × 9 + 5 =
  20. 20.1234567 × 8 + 7 =
  21. 21.37 × 24 =
  22. 22.123 × 9 + 4 =
  23. 23.37 × 12 =
  24. 24.12 × 8 + 2 =
  25. 25.123 × 8 + 3 =
  26. 26.123456 × 9 + 7 =
  27. 27.12 × 9 + 3 =
  28. 28.111111 × 111111 =
  29. 29.12345 × 9 + 6 =
  30. 30.12345 × 8 + 5 =
  31. 31.123456 × 8 + 6 =
  32. 32.37 × 27 =
  33. 33.37 × 6 =
  34. 34.1234 × 8 + 4 =
  35. 35.37 × 18 =
  36. 36.1234567 × 9 + 8 =
  37. 37.37 × 21 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 63 =
  40. 40.37 × 12 =

Answer key

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

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