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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 515 · 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 × 81 =
  2. 2.123456 × 8 + 6 =
  3. 3.123456 × 9 + 7 =
  4. 4.1111 × 1111 =
  5. 5.12345679 × 63 =
  6. 6.12345679 × 18 =
  7. 7.37 × 24 =
  8. 8.1234567 × 9 + 8 =
  9. 9.111 × 111 =
  10. 10.37 × 15 =
  11. 11.12345679 × 45 =
  12. 12.12345679 × 27 =
  13. 13.12 × 9 + 3 =
  14. 14.12345679 × 9 =
  15. 15.11 × 11 =
  16. 16.37 × 3 =
  17. 17.37 × 9 =
  18. 18.11111 × 11111 =
  19. 19.37 × 27 =
  20. 20.111111 × 111111 =
  21. 21.1234 × 9 + 5 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12345679 × 72 =
  24. 24.37 × 21 =
  25. 25.12345678 × 8 + 8 =
  26. 26.12345 × 8 + 5 =
  27. 27.123 × 8 + 3 =
  28. 28.37 × 6 =
  29. 29.12 × 8 + 2 =
  30. 30.123456789 × 8 + 9 =
  31. 31.123 × 9 + 4 =
  32. 32.1234 × 8 + 4 =
  33. 33.37 × 9 =
  34. 34.12345 × 9 + 6 =
  35. 35.12345679 × 36 =
  36. 36.12345679 × 36 =
  37. 37.37 × 18 =
  38. 38.37 × 24 =
  39. 39.37 × 12 =
  40. 40.1234567 × 8 + 7 =

Answer key

  1. 999999999
  2. 987654
  3. 1111111
  4. 1234321
  5. 777777777
  6. 222222222
  7. 888
  8. 11111111
  9. 12321
  10. 555
  11. 555555555
  12. 333333333
  13. 111
  14. 111111111
  15. 121
  16. 111
  17. 333
  18. 123454321
  19. 999
  20. 12345654321
  21. 11111
  22. 111111111
  23. 888888888
  24. 777
  25. 98765432
  26. 98765
  27. 987
  28. 222
  29. 98
  30. 987654321
  31. 1111
  32. 9876
  33. 333
  34. 111111
  35. 444444444
  36. 444444444
  37. 666
  38. 888
  39. 444
  40. 9876543

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