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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 728 · 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 × 27 =
  2. 2.1234 × 9 + 5 =
  3. 3.111 × 111 =
  4. 4.123 × 8 + 3 =
  5. 5.12345679 × 18 =
  6. 6.123456789 × 8 + 9 =
  7. 7.11 × 11 =
  8. 8.37 × 21 =
  9. 9.123 × 9 + 4 =
  10. 10.1234 × 8 + 4 =
  11. 11.12345679 × 63 =
  12. 12.37 × 9 =
  13. 13.12345679 × 54 =
  14. 14.12345 × 8 + 5 =
  15. 15.11111 × 11111 =
  16. 16.12 × 9 + 3 =
  17. 17.37 × 27 =
  18. 18.12 × 8 + 2 =
  19. 19.12345679 × 81 =
  20. 20.37 × 12 =
  21. 21.37 × 3 =
  22. 22.12345 × 9 + 6 =
  23. 23.12345679 × 36 =
  24. 24.12345678 × 8 + 8 =
  25. 25.1111 × 1111 =
  26. 26.37 × 15 =
  27. 27.12345679 × 45 =
  28. 28.12345679 × 72 =
  29. 29.12345 × 9 + 6 =
  30. 30.1234567 × 8 + 7 =
  31. 31.123 × 8 + 3 =
  32. 32.123456 × 8 + 6 =
  33. 33.37 × 6 =
  34. 34.12345678 × 9 + 9 =
  35. 35.1234567 × 9 + 8 =
  36. 36.11 × 11 =
  37. 37.12345679 × 9 =
  38. 38.1234 × 9 + 5 =
  39. 39.123456789 × 8 + 9 =
  40. 40.111111 × 111111 =

Answer key

  1. 333333333
  2. 11111
  3. 12321
  4. 987
  5. 222222222
  6. 987654321
  7. 121
  8. 777
  9. 1111
  10. 9876
  11. 777777777
  12. 333
  13. 666666666
  14. 98765
  15. 123454321
  16. 111
  17. 999
  18. 98
  19. 999999999
  20. 444
  21. 111
  22. 111111
  23. 444444444
  24. 98765432
  25. 1234321
  26. 555
  27. 555555555
  28. 888888888
  29. 111111
  30. 9876543
  31. 987
  32. 987654
  33. 222
  34. 111111111
  35. 11111111
  36. 121
  37. 111111111
  38. 11111
  39. 987654321
  40. 12345654321

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