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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 489 · 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. 2.37 × 3 =
  3. 3.12345678 × 9 + 9 =
  4. 4.12345679 × 63 =
  5. 5.12345 × 8 + 5 =
  6. 6.12 × 8 + 2 =
  7. 7.12345678 × 8 + 8 =
  8. 8.123 × 9 + 4 =
  9. 9.37 × 15 =
  10. 10.12345679 × 27 =
  11. 11.11 × 11 =
  12. 12.1234 × 9 + 5 =
  13. 13.12 × 9 + 3 =
  14. 14.111111 × 111111 =
  15. 15.12345679 × 81 =
  16. 16.12345679 × 54 =
  17. 17.1111 × 1111 =
  18. 18.12345679 × 36 =
  19. 19.1234567 × 9 + 8 =
  20. 20.1234567 × 8 + 7 =
  21. 21.1234 × 8 + 4 =
  22. 22.123456 × 9 + 7 =
  23. 23.12345679 × 9 =
  24. 24.11111 × 11111 =
  25. 25.123 × 8 + 3 =
  26. 26.37 × 18 =
  27. 27.12345679 × 45 =
  28. 28.123456 × 8 + 6 =
  29. 29.37 × 12 =
  30. 30.12345679 × 72 =
  31. 31.37 × 9 =
  32. 32.12345 × 9 + 6 =
  33. 33.37 × 6 =
  34. 34.37 × 21 =
  35. 35.12345679 × 18 =
  36. 36.123456789 × 8 + 9 =
  37. 37.123 × 8 + 3 =
  38. 38.37 × 21 =
  39. 39.12345 × 9 + 6 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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