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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 668 · 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. 1.1111 × 1111 =
  2. 2.37 × 18 =
  3. 3.12345 × 8 + 5 =
  4. 4.11 × 11 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 54 =
  7. 7.1234 × 9 + 5 =
  8. 8.12 × 9 + 3 =
  9. 9.111 × 111 =
  10. 10.123 × 9 + 4 =
  11. 11.12345679 × 45 =
  12. 12.12345678 × 8 + 8 =
  13. 13.1234 × 8 + 4 =
  14. 14.12345679 × 18 =
  15. 15.12345678 × 9 + 9 =
  16. 16.123456789 × 8 + 9 =
  17. 17.37 × 15 =
  18. 18.12345679 × 27 =
  19. 19.123456 × 9 + 7 =
  20. 20.12 × 8 + 2 =
  21. 21.11111 × 11111 =
  22. 22.37 × 6 =
  23. 23.37 × 27 =
  24. 24.12345679 × 9 =
  25. 25.12345679 × 63 =
  26. 26.37 × 21 =
  27. 27.37 × 9 =
  28. 28.12345679 × 72 =
  29. 29.1234567 × 9 + 8 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345679 × 81 =
  32. 32.123 × 8 + 3 =
  33. 33.12345679 × 45 =
  34. 34.12345 × 9 + 6 =
  35. 35.37 × 24 =
  36. 36.37 × 12 =
  37. 37.1234567 × 9 + 8 =
  38. 38.37 × 9 =
  39. 39.12345679 × 45 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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