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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 689 · 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. 2.12345679 × 72 =
  3. 3.11 × 11 =
  4. 4.37 × 21 =
  5. 5.12 × 9 + 3 =
  6. 6.11111 × 11111 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345679 × 63 =
  9. 9.123456789 × 8 + 9 =
  10. 10.37 × 15 =
  11. 11.12345679 × 54 =
  12. 12.12345678 × 8 + 8 =
  13. 13.37 × 12 =
  14. 14.1111 × 1111 =
  15. 15.12345 × 9 + 6 =
  16. 16.1234567 × 9 + 8 =
  17. 17.12345679 × 9 =
  18. 18.123456 × 8 + 6 =
  19. 19.12345679 × 18 =
  20. 20.111111 × 111111 =
  21. 21.37 × 3 =
  22. 22.1234 × 8 + 4 =
  23. 23.12345679 × 27 =
  24. 24.12345679 × 36 =
  25. 25.123 × 8 + 3 =
  26. 26.1234567 × 8 + 7 =
  27. 27.1234 × 9 + 5 =
  28. 28.123456 × 9 + 7 =
  29. 29.37 × 24 =
  30. 30.12345678 × 9 + 9 =
  31. 31.37 × 27 =
  32. 32.12345679 × 81 =
  33. 33.37 × 18 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12 × 8 + 2 =
  36. 36.37 × 9 =
  37. 37.111 × 111 =
  38. 38.37 × 6 =
  39. 39.123 × 9 + 4 =
  40. 40.111 × 111 =

Answer key

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

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