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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 239 · 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 × 27 =
  3. 3.37 × 24 =
  4. 4.11 × 11 =
  5. 5.123456789 × 8 + 9 =
  6. 6.12345679 × 18 =
  7. 7.123 × 8 + 3 =
  8. 8.37 × 27 =
  9. 9.11111 × 11111 =
  10. 10.37 × 21 =
  11. 11.111111 × 111111 =
  12. 12.12345679 × 54 =
  13. 13.37 × 15 =
  14. 14.1234 × 8 + 4 =
  15. 15.123456 × 9 + 7 =
  16. 16.123456 × 8 + 6 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 45 =
  19. 19.12345679 × 63 =
  20. 20.12345679 × 9 =
  21. 21.12 × 8 + 2 =
  22. 22.12345678 × 8 + 8 =
  23. 23.37 × 12 =
  24. 24.1234 × 9 + 5 =
  25. 25.37 × 18 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 81 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12345 × 9 + 6 =
  30. 30.37 × 3 =
  31. 31.12345679 × 36 =
  32. 32.12345679 × 72 =
  33. 33.12345679 × 18 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12 × 9 + 3 =
  36. 36.37 × 6 =
  37. 37.12345679 × 63 =
  38. 38.12345679 × 54 =
  39. 39.12345 × 8 + 5 =
  40. 40.11111 × 11111 =

Answer key

  1. 12321
  2. 333333333
  3. 888
  4. 121
  5. 987654321
  6. 222222222
  7. 987
  8. 999
  9. 123454321
  10. 777
  11. 12345654321
  12. 666666666
  13. 555
  14. 9876
  15. 1111111
  16. 987654
  17. 1111
  18. 555555555
  19. 777777777
  20. 111111111
  21. 98
  22. 98765432
  23. 444
  24. 11111
  25. 666
  26. 1234321
  27. 999999999
  28. 11111111
  29. 111111
  30. 111
  31. 444444444
  32. 888888888
  33. 222222222
  34. 9876543
  35. 111
  36. 222
  37. 777777777
  38. 666666666
  39. 98765
  40. 123454321

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