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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 567 · 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. 1.111 × 111 =
  2. 2.12 × 9 + 3 =
  3. 3.111111 × 111111 =
  4. 4.12345679 × 9 =
  5. 5.12345679 × 63 =
  6. 6.12345679 × 45 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345678 × 9 + 9 =
  9. 9.11111 × 11111 =
  10. 10.12345679 × 18 =
  11. 11.37 × 27 =
  12. 12.12345 × 9 + 6 =
  13. 13.1234 × 9 + 5 =
  14. 14.12345679 × 72 =
  15. 15.123456789 × 8 + 9 =
  16. 16.37 × 9 =
  17. 17.37 × 6 =
  18. 18.1234567 × 8 + 7 =
  19. 19.12345679 × 36 =
  20. 20.123456 × 9 + 7 =
  21. 21.123 × 8 + 3 =
  22. 22.123456 × 8 + 6 =
  23. 23.123 × 9 + 4 =
  24. 24.37 × 3 =
  25. 25.1234 × 8 + 4 =
  26. 26.12345679 × 54 =
  27. 27.12345679 × 27 =
  28. 28.37 × 12 =
  29. 29.37 × 21 =
  30. 30.12345678 × 8 + 8 =
  31. 31.1111 × 1111 =
  32. 32.12345679 × 81 =
  33. 33.37 × 18 =
  34. 34.37 × 15 =
  35. 35.11 × 11 =
  36. 36.37 × 24 =
  37. 37.123 × 9 + 4 =
  38. 38.123 × 8 + 3 =
  39. 39.12 × 9 + 3 =
  40. 40.12 × 8 + 2 =

Answer key

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

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