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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 252 · 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 × 24 =
  3. 3.37 × 27 =
  4. 4.12345679 × 27 =
  5. 5.123456789 × 8 + 9 =
  6. 6.111111 × 111111 =
  7. 7.12345 × 8 + 5 =
  8. 8.1234 × 8 + 4 =
  9. 9.37 × 9 =
  10. 10.12345679 × 18 =
  11. 11.1234 × 9 + 5 =
  12. 12.12 × 9 + 3 =
  13. 13.1234567 × 9 + 8 =
  14. 14.11 × 11 =
  15. 15.11111 × 11111 =
  16. 16.12345678 × 8 + 8 =
  17. 17.123456 × 9 + 7 =
  18. 18.37 × 12 =
  19. 19.12345679 × 36 =
  20. 20.12345679 × 54 =
  21. 21.12 × 8 + 2 =
  22. 22.12345679 × 9 =
  23. 23.12345679 × 81 =
  24. 24.37 × 6 =
  25. 25.12345 × 9 + 6 =
  26. 26.37 × 3 =
  27. 27.12345679 × 72 =
  28. 28.12345679 × 45 =
  29. 29.123 × 8 + 3 =
  30. 30.123 × 9 + 4 =
  31. 31.1111 × 1111 =
  32. 32.12345679 × 63 =
  33. 33.37 × 15 =
  34. 34.37 × 18 =
  35. 35.37 × 21 =
  36. 36.123456 × 8 + 6 =
  37. 37.12345678 × 9 + 9 =
  38. 38.37 × 9 =
  39. 39.37 × 9 =
  40. 40.37 × 27 =

Answer key

  1. 12321
  2. 888
  3. 999
  4. 333333333
  5. 987654321
  6. 12345654321
  7. 98765
  8. 9876
  9. 333
  10. 222222222
  11. 11111
  12. 111
  13. 11111111
  14. 121
  15. 123454321
  16. 98765432
  17. 1111111
  18. 444
  19. 444444444
  20. 666666666
  21. 98
  22. 111111111
  23. 999999999
  24. 222
  25. 111111
  26. 111
  27. 888888888
  28. 555555555
  29. 987
  30. 1111
  31. 1234321
  32. 777777777
  33. 555
  34. 666
  35. 777
  36. 987654
  37. 111111111
  38. 333
  39. 333
  40. 999

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