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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 679 · 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. 1.11 × 11 =
  2. 2.111 × 111 =
  3. 3.12345679 × 81 =
  4. 4.12345678 × 9 + 9 =
  5. 5.123456789 × 8 + 9 =
  6. 6.37 × 27 =
  7. 7.1234 × 8 + 4 =
  8. 8.12345678 × 8 + 8 =
  9. 9.12345679 × 18 =
  10. 10.12 × 8 + 2 =
  11. 11.12345679 × 45 =
  12. 12.12 × 9 + 3 =
  13. 13.12345679 × 72 =
  14. 14.1234567 × 9 + 8 =
  15. 15.1111 × 1111 =
  16. 16.37 × 12 =
  17. 17.37 × 18 =
  18. 18.37 × 24 =
  19. 19.123 × 8 + 3 =
  20. 20.37 × 6 =
  21. 21.12345 × 9 + 6 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345679 × 54 =
  24. 24.12345679 × 9 =
  25. 25.123456 × 8 + 6 =
  26. 26.123 × 9 + 4 =
  27. 27.111111 × 111111 =
  28. 28.37 × 3 =
  29. 29.37 × 9 =
  30. 30.12345679 × 27 =
  31. 31.11111 × 11111 =
  32. 32.12345 × 8 + 5 =
  33. 33.37 × 15 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345 × 8 + 5 =
  36. 36.12345679 × 36 =
  37. 37.1234567 × 8 + 7 =
  38. 38.37 × 21 =
  39. 39.12345679 × 63 =
  40. 40.12345679 × 36 =

Answer key

  1. 121
  2. 12321
  3. 999999999
  4. 111111111
  5. 987654321
  6. 999
  7. 9876
  8. 98765432
  9. 222222222
  10. 98
  11. 555555555
  12. 111
  13. 888888888
  14. 11111111
  15. 1234321
  16. 444
  17. 666
  18. 888
  19. 987
  20. 222
  21. 111111
  22. 11111
  23. 666666666
  24. 111111111
  25. 987654
  26. 1111
  27. 12345654321
  28. 111
  29. 333
  30. 333333333
  31. 123454321
  32. 98765
  33. 555
  34. 1111111
  35. 98765
  36. 444444444
  37. 9876543
  38. 777
  39. 777777777
  40. 444444444

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