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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 561 · 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. 1.12 × 9 + 3 =
  2. 2.11 × 11 =
  3. 3.1111 × 1111 =
  4. 4.12345679 × 9 =
  5. 5.1234567 × 9 + 8 =
  6. 6.37 × 3 =
  7. 7.37 × 9 =
  8. 8.37 × 27 =
  9. 9.1234 × 9 + 5 =
  10. 10.123456 × 9 + 7 =
  11. 11.12345 × 8 + 5 =
  12. 12.12345679 × 18 =
  13. 13.111 × 111 =
  14. 14.12345 × 9 + 6 =
  15. 15.1234 × 8 + 4 =
  16. 16.37 × 24 =
  17. 17.12345678 × 9 + 9 =
  18. 18.12345679 × 72 =
  19. 19.37 × 6 =
  20. 20.12345679 × 45 =
  21. 21.12345679 × 63 =
  22. 22.37 × 15 =
  23. 23.37 × 18 =
  24. 24.123 × 9 + 4 =
  25. 25.123456789 × 8 + 9 =
  26. 26.12345678 × 8 + 8 =
  27. 27.11111 × 11111 =
  28. 28.12345679 × 36 =
  29. 29.37 × 21 =
  30. 30.111111 × 111111 =
  31. 31.12345679 × 81 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345679 × 54 =
  34. 34.12345678 × 9 + 9 =
  35. 35.123456789 × 8 + 9 =
  36. 36.123 × 8 + 3 =
  37. 37.12345679 × 27 =
  38. 38.37 × 15 =
  39. 39.12 × 8 + 2 =
  40. 40.37 × 12 =

Answer key

  1. 111
  2. 121
  3. 1234321
  4. 111111111
  5. 11111111
  6. 111
  7. 333
  8. 999
  9. 11111
  10. 1111111
  11. 98765
  12. 222222222
  13. 12321
  14. 111111
  15. 9876
  16. 888
  17. 111111111
  18. 888888888
  19. 222
  20. 555555555
  21. 777777777
  22. 555
  23. 666
  24. 1111
  25. 987654321
  26. 98765432
  27. 123454321
  28. 444444444
  29. 777
  30. 12345654321
  31. 999999999
  32. 9876543
  33. 666666666
  34. 111111111
  35. 987654321
  36. 987
  37. 333333333
  38. 555
  39. 98
  40. 444

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