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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 420 · 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 × 3 =
  3. 3.1111 × 1111 =
  4. 4.12 × 9 + 3 =
  5. 5.12 × 8 + 2 =
  6. 6.12345679 × 27 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345679 × 18 =
  9. 9.37 × 24 =
  10. 10.111111 × 111111 =
  11. 11.11 × 11 =
  12. 12.37 × 27 =
  13. 13.1234567 × 9 + 8 =
  14. 14.111 × 111 =
  15. 15.1234 × 8 + 4 =
  16. 16.37 × 6 =
  17. 17.12345 × 9 + 6 =
  18. 18.123456 × 9 + 7 =
  19. 19.12345679 × 63 =
  20. 20.12345679 × 36 =
  21. 21.11111 × 11111 =
  22. 22.37 × 9 =
  23. 23.12345679 × 72 =
  24. 24.12345679 × 54 =
  25. 25.12345678 × 8 + 8 =
  26. 26.123456789 × 8 + 9 =
  27. 27.12345679 × 9 =
  28. 28.1234 × 9 + 5 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12345679 × 72 =
  31. 31.123 × 8 + 3 =
  32. 32.111 × 111 =
  33. 33.123456789 × 8 + 9 =
  34. 34.37 × 18 =
  35. 35.11111 × 11111 =
  36. 36.12345679 × 45 =
  37. 37.37 × 3 =
  38. 38.37 × 9 =
  39. 39.37 × 6 =
  40. 40.12345679 × 81 =

Answer key

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

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