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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 204 · 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. 1.12345679 × 9 =
  2. 2.37 × 18 =
  3. 3.1111 × 1111 =
  4. 4.111 × 111 =
  5. 5.37 × 15 =
  6. 6.12345 × 9 + 6 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12345679 × 36 =
  9. 9.37 × 9 =
  10. 10.37 × 12 =
  11. 11.111111 × 111111 =
  12. 12.123 × 8 + 3 =
  13. 13.12 × 9 + 3 =
  14. 14.123456789 × 8 + 9 =
  15. 15.11 × 11 =
  16. 16.12345679 × 27 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345679 × 81 =
  19. 19.12 × 8 + 2 =
  20. 20.12345679 × 18 =
  21. 21.12345 × 8 + 5 =
  22. 22.37 × 24 =
  23. 23.12345679 × 63 =
  24. 24.37 × 6 =
  25. 25.123456 × 8 + 6 =
  26. 26.123 × 9 + 4 =
  27. 27.11111 × 11111 =
  28. 28.123456 × 9 + 7 =
  29. 29.37 × 3 =
  30. 30.1234 × 8 + 4 =
  31. 31.12345678 × 9 + 9 =
  32. 32.37 × 21 =
  33. 33.37 × 27 =
  34. 34.37 × 27 =
  35. 35.12345679 × 54 =
  36. 36.12345679 × 45 =
  37. 37.37 × 6 =
  38. 38.12345678 × 8 + 8 =
  39. 39.1234 × 8 + 4 =
  40. 40.12345679 × 54 =

Answer key

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

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