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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 642 · 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 × 72 =
  2. 2.37 × 21 =
  3. 3.12345 × 9 + 6 =
  4. 4.12345679 × 18 =
  5. 5.11 × 11 =
  6. 6.12345679 × 81 =
  7. 7.12345679 × 36 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 27 =
  10. 10.1111 × 1111 =
  11. 11.12 × 9 + 3 =
  12. 12.111 × 111 =
  13. 13.37 × 27 =
  14. 14.12345679 × 9 =
  15. 15.123 × 9 + 4 =
  16. 16.37 × 3 =
  17. 17.37 × 18 =
  18. 18.37 × 24 =
  19. 19.12345679 × 54 =
  20. 20.11111 × 11111 =
  21. 21.37 × 15 =
  22. 22.111111 × 111111 =
  23. 23.37 × 12 =
  24. 24.111 × 111 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12 × 8 + 2 =
  27. 27.37 × 9 =
  28. 28.123456 × 9 + 7 =
  29. 29.37 × 6 =
  30. 30.12345678 × 8 + 8 =
  31. 31.12345 × 8 + 5 =
  32. 32.1234 × 9 + 5 =
  33. 33.1234 × 8 + 4 =
  34. 34.123456789 × 8 + 9 =
  35. 35.123 × 8 + 3 =
  36. 36.12345679 × 45 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 81 =
  39. 39.1234567 × 9 + 8 =
  40. 40.1111 × 1111 =

Answer key

  1. 888888888
  2. 777
  3. 111111
  4. 222222222
  5. 121
  6. 999999999
  7. 444444444
  8. 111111111
  9. 333333333
  10. 1234321
  11. 111
  12. 12321
  13. 999
  14. 111111111
  15. 1111
  16. 111
  17. 666
  18. 888
  19. 666666666
  20. 123454321
  21. 555
  22. 12345654321
  23. 444
  24. 12321
  25. 11111111
  26. 98
  27. 333
  28. 1111111
  29. 222
  30. 98765432
  31. 98765
  32. 11111
  33. 9876
  34. 987654321
  35. 987
  36. 555555555
  37. 9876543
  38. 999999999
  39. 11111111
  40. 1234321

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