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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 496 · 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. 2.12345679 × 27 =
  3. 3.37 × 3 =
  4. 4.111111 × 111111 =
  5. 5.12345678 × 9 + 9 =
  6. 6.11 × 11 =
  7. 7.37 × 24 =
  8. 8.1234567 × 9 + 8 =
  9. 9.12 × 8 + 2 =
  10. 10.12345678 × 8 + 8 =
  11. 11.12345679 × 45 =
  12. 12.1234567 × 8 + 7 =
  13. 13.111 × 111 =
  14. 14.12345 × 8 + 5 =
  15. 15.12345679 × 72 =
  16. 16.1234 × 9 + 5 =
  17. 17.123456 × 9 + 7 =
  18. 18.12345679 × 18 =
  19. 19.37 × 12 =
  20. 20.37 × 27 =
  21. 21.37 × 18 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 63 =
  24. 24.1111 × 1111 =
  25. 25.37 × 21 =
  26. 26.12345679 × 18 =
  27. 27.123 × 9 + 4 =
  28. 28.123 × 8 + 3 =
  29. 29.12 × 9 + 3 =
  30. 30.12345679 × 54 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12345679 × 9 =
  33. 33.12345 × 9 + 6 =
  34. 34.37 × 6 =
  35. 35.123 × 9 + 4 =
  36. 36.37 × 9 =
  37. 37.1234 × 8 + 4 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 72 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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