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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 576 · 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. 1.11111 × 11111 =
  2. 2.12 × 9 + 3 =
  3. 3.37 × 9 =
  4. 4.12345679 × 63 =
  5. 5.123456 × 8 + 6 =
  6. 6.11 × 11 =
  7. 7.12345679 × 72 =
  8. 8.37 × 21 =
  9. 9.12345679 × 54 =
  10. 10.1111 × 1111 =
  11. 11.12345 × 9 + 6 =
  12. 12.12345679 × 9 =
  13. 13.12 × 8 + 2 =
  14. 14.123 × 9 + 4 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12345678 × 9 + 9 =
  17. 17.1234 × 9 + 5 =
  18. 18.37 × 3 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345679 × 81 =
  21. 21.1234567 × 9 + 8 =
  22. 22.37 × 15 =
  23. 23.12345679 × 45 =
  24. 24.123456 × 9 + 7 =
  25. 25.111111 × 111111 =
  26. 26.37 × 18 =
  27. 27.37 × 27 =
  28. 28.37 × 6 =
  29. 29.12345679 × 36 =
  30. 30.12345 × 8 + 5 =
  31. 31.12345679 × 18 =
  32. 32.1234 × 8 + 4 =
  33. 33.111 × 111 =
  34. 34.111 × 111 =
  35. 35.12345679 × 63 =
  36. 36.37 × 24 =
  37. 37.37 × 18 =
  38. 38.1234567 × 8 + 7 =
  39. 39.37 × 9 =
  40. 40.111 × 111 =

Answer key

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

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