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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 317 · 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. 1.111 × 111 =
  2. 2.12345678 × 9 + 9 =
  3. 3.12345679 × 81 =
  4. 4.123456 × 8 + 6 =
  5. 5.12 × 8 + 2 =
  6. 6.12345678 × 8 + 8 =
  7. 7.37 × 18 =
  8. 8.12345679 × 72 =
  9. 9.123 × 8 + 3 =
  10. 10.111111 × 111111 =
  11. 11.123456789 × 8 + 9 =
  12. 12.37 × 3 =
  13. 13.12345 × 9 + 6 =
  14. 14.123456 × 9 + 7 =
  15. 15.37 × 9 =
  16. 16.11 × 11 =
  17. 17.12345679 × 18 =
  18. 18.1111 × 1111 =
  19. 19.12345679 × 36 =
  20. 20.37 × 24 =
  21. 21.37 × 21 =
  22. 22.1234 × 8 + 4 =
  23. 23.12 × 9 + 3 =
  24. 24.1234 × 9 + 5 =
  25. 25.12345 × 8 + 5 =
  26. 26.37 × 6 =
  27. 27.37 × 12 =
  28. 28.12345679 × 45 =
  29. 29.37 × 18 =
  30. 30.11111 × 11111 =
  31. 31.12345679 × 9 =
  32. 32.12345679 × 54 =
  33. 33.12345678 × 8 + 8 =
  34. 34.1234567 × 8 + 7 =
  35. 35.37 × 27 =
  36. 36.37 × 15 =
  37. 37.123 × 9 + 4 =
  38. 38.1234567 × 9 + 8 =
  39. 39.37 × 24 =
  40. 40.12345679 × 27 =

Answer key

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

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