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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 639 · 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. 1.11111 × 11111 =
  2. 2.37 × 27 =
  3. 3.37 × 24 =
  4. 4.37 × 3 =
  5. 5.12345679 × 27 =
  6. 6.11 × 11 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345679 × 63 =
  9. 9.1111 × 1111 =
  10. 10.12345679 × 54 =
  11. 11.123 × 8 + 3 =
  12. 12.12345679 × 36 =
  13. 13.37 × 9 =
  14. 14.12 × 9 + 3 =
  15. 15.12345679 × 45 =
  16. 16.123456789 × 8 + 9 =
  17. 17.123 × 9 + 4 =
  18. 18.12 × 8 + 2 =
  19. 19.12345679 × 81 =
  20. 20.111111 × 111111 =
  21. 21.12345678 × 8 + 8 =
  22. 22.12345679 × 72 =
  23. 23.1234 × 8 + 4 =
  24. 24.37 × 6 =
  25. 25.12345679 × 9 =
  26. 26.37 × 21 =
  27. 27.1234567 × 9 + 8 =
  28. 28.123456 × 8 + 6 =
  29. 29.111 × 111 =
  30. 30.37 × 12 =
  31. 31.123456 × 9 + 7 =
  32. 32.1234 × 9 + 5 =
  33. 33.37 × 15 =
  34. 34.12345678 × 9 + 9 =
  35. 35.111 × 111 =
  36. 36.12345 × 9 + 6 =
  37. 37.1234567 × 8 + 7 =
  38. 38.37 × 18 =
  39. 39.12345679 × 18 =
  40. 40.11111 × 11111 =

Answer key

  1. 123454321
  2. 999
  3. 888
  4. 111
  5. 333333333
  6. 121
  7. 98765
  8. 777777777
  9. 1234321
  10. 666666666
  11. 987
  12. 444444444
  13. 333
  14. 111
  15. 555555555
  16. 987654321
  17. 1111
  18. 98
  19. 999999999
  20. 12345654321
  21. 98765432
  22. 888888888
  23. 9876
  24. 222
  25. 111111111
  26. 777
  27. 11111111
  28. 987654
  29. 12321
  30. 444
  31. 1111111
  32. 11111
  33. 555
  34. 111111111
  35. 12321
  36. 111111
  37. 9876543
  38. 666
  39. 222222222
  40. 123454321

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