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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 627 · 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 × 15 =
  2. 2.123456 × 9 + 7 =
  3. 3.111111 × 111111 =
  4. 4.12345679 × 36 =
  5. 5.12345679 × 9 =
  6. 6.12345679 × 27 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345678 × 8 + 8 =
  9. 9.12345 × 9 + 6 =
  10. 10.12345678 × 9 + 9 =
  11. 11.123456789 × 8 + 9 =
  12. 12.123456 × 8 + 6 =
  13. 13.12345679 × 63 =
  14. 14.37 × 12 =
  15. 15.1234567 × 8 + 7 =
  16. 16.123 × 9 + 4 =
  17. 17.11 × 11 =
  18. 18.12345679 × 72 =
  19. 19.12345679 × 54 =
  20. 20.37 × 9 =
  21. 21.11111 × 11111 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12345679 × 18 =
  24. 24.12345 × 8 + 5 =
  25. 25.37 × 18 =
  26. 26.1111 × 1111 =
  27. 27.12 × 9 + 3 =
  28. 28.12 × 8 + 2 =
  29. 29.37 × 24 =
  30. 30.37 × 21 =
  31. 31.111 × 111 =
  32. 32.12345679 × 81 =
  33. 33.1234 × 8 + 4 =
  34. 34.37 × 9 =
  35. 35.37 × 3 =
  36. 36.123 × 8 + 3 =
  37. 37.37 × 6 =
  38. 38.12345679 × 18 =
  39. 39.37 × 15 =
  40. 40.12345679 × 45 =

Answer key

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

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