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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 11 · 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. 2.12 × 9 + 3 =
  3. 3.12345679 × 36 =
  4. 4.12345679 × 81 =
  5. 5.37 × 24 =
  6. 6.37 × 27 =
  7. 7.12345679 × 63 =
  8. 8.1234 × 8 + 4 =
  9. 9.37 × 15 =
  10. 10.37 × 12 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 72 =
  13. 13.111 × 111 =
  14. 14.1234 × 9 + 5 =
  15. 15.123 × 8 + 3 =
  16. 16.1234567 × 8 + 7 =
  17. 17.12 × 8 + 2 =
  18. 18.37 × 3 =
  19. 19.12345679 × 45 =
  20. 20.12345679 × 18 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12345678 × 9 + 9 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 9 =
  25. 25.123 × 9 + 4 =
  26. 26.12345679 × 27 =
  27. 27.1111 × 1111 =
  28. 28.37 × 21 =
  29. 29.123456789 × 8 + 9 =
  30. 30.12345 × 8 + 5 =
  31. 31.123456 × 9 + 7 =
  32. 32.111111 × 111111 =
  33. 33.11 × 11 =
  34. 34.37 × 6 =
  35. 35.12345678 × 8 + 8 =
  36. 36.37 × 18 =
  37. 37.37 × 15 =
  38. 38.12345679 × 36 =
  39. 39.1234 × 9 + 5 =
  40. 40.12345679 × 54 =

Answer key

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

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