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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 729 · 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. 1.37 × 18 =
  2. 2.37 × 12 =
  3. 3.11 × 11 =
  4. 4.123456 × 8 + 6 =
  5. 5.111 × 111 =
  6. 6.37 × 6 =
  7. 7.1234567 × 9 + 8 =
  8. 8.123 × 8 + 3 =
  9. 9.12345679 × 72 =
  10. 10.11111 × 11111 =
  11. 11.12345679 × 63 =
  12. 12.37 × 15 =
  13. 13.123 × 9 + 4 =
  14. 14.12345679 × 9 =
  15. 15.12 × 8 + 2 =
  16. 16.111111 × 111111 =
  17. 17.12345679 × 54 =
  18. 18.12345679 × 81 =
  19. 19.12345678 × 9 + 9 =
  20. 20.12345 × 8 + 5 =
  21. 21.12345 × 9 + 6 =
  22. 22.37 × 24 =
  23. 23.12345679 × 18 =
  24. 24.12345678 × 8 + 8 =
  25. 25.37 × 9 =
  26. 26.12345679 × 27 =
  27. 27.123456 × 9 + 7 =
  28. 28.1111 × 1111 =
  29. 29.12345679 × 45 =
  30. 30.12 × 9 + 3 =
  31. 31.37 × 27 =
  32. 32.37 × 3 =
  33. 33.111 × 111 =
  34. 34.1234 × 8 + 4 =
  35. 35.1234567 × 8 + 7 =
  36. 36.1234 × 9 + 5 =
  37. 37.37 × 15 =
  38. 38.37 × 21 =
  39. 39.111 × 111 =
  40. 40.123456789 × 8 + 9 =

Answer key

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

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