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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 443 · 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. 1.1234 × 9 + 5 =
  2. 2.11111 × 11111 =
  3. 3.123 × 9 + 4 =
  4. 4.12345678 × 8 + 8 =
  5. 5.12345679 × 36 =
  6. 6.12345679 × 27 =
  7. 7.12345679 × 63 =
  8. 8.37 × 9 =
  9. 9.12345679 × 54 =
  10. 10.12345 × 9 + 6 =
  11. 11.12345679 × 18 =
  12. 12.12 × 9 + 3 =
  13. 13.11 × 11 =
  14. 14.12345679 × 45 =
  15. 15.12345 × 8 + 5 =
  16. 16.12 × 8 + 2 =
  17. 17.37 × 18 =
  18. 18.111 × 111 =
  19. 19.123456789 × 8 + 9 =
  20. 20.37 × 24 =
  21. 21.37 × 6 =
  22. 22.37 × 21 =
  23. 23.12345678 × 9 + 9 =
  24. 24.1234567 × 8 + 7 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12345679 × 9 =
  27. 27.37 × 3 =
  28. 28.123456 × 9 + 7 =
  29. 29.111111 × 111111 =
  30. 30.111 × 111 =
  31. 31.1111 × 1111 =
  32. 32.1234 × 8 + 4 =
  33. 33.123 × 8 + 3 =
  34. 34.37 × 27 =
  35. 35.12 × 9 + 3 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 3 =
  38. 38.12345679 × 81 =
  39. 39.37 × 24 =
  40. 40.37 × 15 =

Answer key

  1. 11111
  2. 123454321
  3. 1111
  4. 98765432
  5. 444444444
  6. 333333333
  7. 777777777
  8. 333
  9. 666666666
  10. 111111
  11. 222222222
  12. 111
  13. 121
  14. 555555555
  15. 98765
  16. 98
  17. 666
  18. 12321
  19. 987654321
  20. 888
  21. 222
  22. 777
  23. 111111111
  24. 9876543
  25. 11111111
  26. 111111111
  27. 111
  28. 1111111
  29. 12345654321
  30. 12321
  31. 1234321
  32. 9876
  33. 987
  34. 999
  35. 111
  36. 987654
  37. 111
  38. 999999999
  39. 888
  40. 555

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