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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 157 · 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. 3.12 × 8 + 2 =
  4. 4.12 × 9 + 3 =
  5. 5.12345679 × 27 =
  6. 6.123456789 × 8 + 9 =
  7. 7.12345678 × 9 + 9 =
  8. 8.12345679 × 9 =
  9. 9.12345679 × 81 =
  10. 10.111111 × 111111 =
  11. 11.11111 × 11111 =
  12. 12.1234 × 8 + 4 =
  13. 13.37 × 3 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345679 × 45 =
  16. 16.12345678 × 8 + 8 =
  17. 17.12345679 × 72 =
  18. 18.12345679 × 18 =
  19. 19.12345679 × 36 =
  20. 20.37 × 27 =
  21. 21.111 × 111 =
  22. 22.37 × 6 =
  23. 23.37 × 21 =
  24. 24.12345679 × 63 =
  25. 25.123 × 8 + 3 =
  26. 26.37 × 9 =
  27. 27.123 × 9 + 4 =
  28. 28.37 × 18 =
  29. 29.1234567 × 8 + 7 =
  30. 30.1111 × 1111 =
  31. 31.37 × 15 =
  32. 32.12345 × 8 + 5 =
  33. 33.1234567 × 9 + 8 =
  34. 34.37 × 12 =
  35. 35.12 × 9 + 3 =
  36. 36.37 × 24 =
  37. 37.12345679 × 45 =
  38. 38.123 × 9 + 4 =
  39. 39.123456 × 9 + 7 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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