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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 361 · 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. 2.12345 × 9 + 6 =
  3. 3.37 × 18 =
  4. 4.11111 × 11111 =
  5. 5.37 × 12 =
  6. 6.1111 × 1111 =
  7. 7.12345678 × 8 + 8 =
  8. 8.37 × 3 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 24 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12345 × 8 + 5 =
  13. 13.111111 × 111111 =
  14. 14.123456 × 9 + 7 =
  15. 15.37 × 21 =
  16. 16.111 × 111 =
  17. 17.1234 × 9 + 5 =
  18. 18.123456789 × 8 + 9 =
  19. 19.123 × 9 + 4 =
  20. 20.12345679 × 27 =
  21. 21.12 × 9 + 3 =
  22. 22.12345679 × 45 =
  23. 23.12345679 × 63 =
  24. 24.12 × 8 + 2 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345679 × 36 =
  27. 27.12345679 × 18 =
  28. 28.37 × 27 =
  29. 29.37 × 9 =
  30. 30.12345678 × 9 + 9 =
  31. 31.12345679 × 72 =
  32. 32.37 × 15 =
  33. 33.12345679 × 54 =
  34. 34.37 × 6 =
  35. 35.1234 × 8 + 4 =
  36. 36.12345679 × 9 =
  37. 37.12345679 × 63 =
  38. 38.123456 × 8 + 6 =
  39. 39.12345679 × 81 =
  40. 40.12 × 8 + 2 =

Answer key

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

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