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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 455 · 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. 1.1234567 × 8 + 7 =
  2. 2.123456789 × 8 + 9 =
  3. 3.37 × 21 =
  4. 4.1234 × 9 + 5 =
  5. 5.123 × 9 + 4 =
  6. 6.37 × 18 =
  7. 7.12345679 × 9 =
  8. 8.12345679 × 27 =
  9. 9.12345 × 8 + 5 =
  10. 10.12345679 × 36 =
  11. 11.37 × 12 =
  12. 12.37 × 27 =
  13. 13.12345679 × 54 =
  14. 14.12345679 × 72 =
  15. 15.12345 × 9 + 6 =
  16. 16.1234 × 8 + 4 =
  17. 17.12345679 × 81 =
  18. 18.12345678 × 9 + 9 =
  19. 19.123456 × 9 + 7 =
  20. 20.111111 × 111111 =
  21. 21.12 × 9 + 3 =
  22. 22.1111 × 1111 =
  23. 23.37 × 3 =
  24. 24.123 × 8 + 3 =
  25. 25.37 × 24 =
  26. 26.37 × 15 =
  27. 27.11 × 11 =
  28. 28.111 × 111 =
  29. 29.11111 × 11111 =
  30. 30.12345679 × 18 =
  31. 31.37 × 6 =
  32. 32.12 × 8 + 2 =
  33. 33.12345679 × 63 =
  34. 34.37 × 9 =
  35. 35.123456 × 8 + 6 =
  36. 36.123456789 × 8 + 9 =
  37. 37.37 × 3 =
  38. 38.12345678 × 8 + 8 =
  39. 39.1234 × 8 + 4 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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