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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 381 · 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. 1.12345679 × 27 =
  2. 2.37 × 3 =
  3. 3.12 × 8 + 2 =
  4. 4.1234 × 9 + 5 =
  5. 5.123456 × 8 + 6 =
  6. 6.37 × 27 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12 × 9 + 3 =
  9. 9.12345 × 9 + 6 =
  10. 10.37 × 6 =
  11. 11.37 × 21 =
  12. 12.123456789 × 8 + 9 =
  13. 13.12345679 × 81 =
  14. 14.37 × 18 =
  15. 15.1111 × 1111 =
  16. 16.11111 × 11111 =
  17. 17.123 × 8 + 3 =
  18. 18.123456 × 9 + 7 =
  19. 19.12345679 × 72 =
  20. 20.1234 × 8 + 4 =
  21. 21.11 × 11 =
  22. 22.111111 × 111111 =
  23. 23.111 × 111 =
  24. 24.123 × 9 + 4 =
  25. 25.12345679 × 45 =
  26. 26.12345679 × 9 =
  27. 27.12345 × 8 + 5 =
  28. 28.12345679 × 18 =
  29. 29.12345679 × 63 =
  30. 30.12345679 × 36 =
  31. 31.12345679 × 54 =
  32. 32.12345678 × 8 + 8 =
  33. 33.37 × 12 =
  34. 34.1234567 × 8 + 7 =
  35. 35.37 × 6 =
  36. 36.37 × 15 =
  37. 37.12345678 × 9 + 9 =
  38. 38.37 × 9 =
  39. 39.111 × 111 =
  40. 40.12345679 × 54 =

Answer key

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

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