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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 388 · 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. 1.123456 × 9 + 7 =
  2. 2.111 × 111 =
  3. 3.37 × 3 =
  4. 4.12345679 × 63 =
  5. 5.123 × 8 + 3 =
  6. 6.12345679 × 36 =
  7. 7.37 × 15 =
  8. 8.123456 × 8 + 6 =
  9. 9.1234 × 8 + 4 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12345679 × 81 =
  12. 12.12 × 9 + 3 =
  13. 13.37 × 9 =
  14. 14.37 × 24 =
  15. 15.1234567 × 8 + 7 =
  16. 16.111111 × 111111 =
  17. 17.12345679 × 72 =
  18. 18.12345678 × 9 + 9 =
  19. 19.37 × 18 =
  20. 20.1111 × 1111 =
  21. 21.12345679 × 45 =
  22. 22.11111 × 11111 =
  23. 23.12345 × 9 + 6 =
  24. 24.11 × 11 =
  25. 25.12345679 × 27 =
  26. 26.1234567 × 9 + 8 =
  27. 27.37 × 27 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345679 × 18 =
  30. 30.12345679 × 54 =
  31. 31.12345679 × 9 =
  32. 32.12 × 8 + 2 =
  33. 33.37 × 21 =
  34. 34.12345679 × 9 =
  35. 35.1234 × 9 + 5 =
  36. 36.123 × 9 + 4 =
  37. 37.37 × 21 =
  38. 38.1234 × 8 + 4 =
  39. 39.12345678 × 8 + 8 =
  40. 40.37 × 12 =

Answer key

  1. 1111111
  2. 12321
  3. 111
  4. 777777777
  5. 987
  6. 444444444
  7. 555
  8. 987654
  9. 9876
  10. 987654321
  11. 999999999
  12. 111
  13. 333
  14. 888
  15. 9876543
  16. 12345654321
  17. 888888888
  18. 111111111
  19. 666
  20. 1234321
  21. 555555555
  22. 123454321
  23. 111111
  24. 121
  25. 333333333
  26. 11111111
  27. 999
  28. 98765
  29. 222222222
  30. 666666666
  31. 111111111
  32. 98
  33. 777
  34. 111111111
  35. 11111
  36. 1111
  37. 777
  38. 9876
  39. 98765432
  40. 444

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