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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 49 · 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. 1.1234567 × 9 + 8 =
  2. 2.1234 × 9 + 5 =
  3. 3.11111 × 11111 =
  4. 4.123456 × 9 + 7 =
  5. 5.12345679 × 72 =
  6. 6.37 × 18 =
  7. 7.123 × 8 + 3 =
  8. 8.111 × 111 =
  9. 9.37 × 21 =
  10. 10.12345679 × 9 =
  11. 11.12345679 × 27 =
  12. 12.12345679 × 18 =
  13. 13.111111 × 111111 =
  14. 14.11 × 11 =
  15. 15.12345679 × 81 =
  16. 16.37 × 24 =
  17. 17.12345 × 8 + 5 =
  18. 18.123456 × 8 + 6 =
  19. 19.123 × 9 + 4 =
  20. 20.12 × 9 + 3 =
  21. 21.12 × 8 + 2 =
  22. 22.1234 × 8 + 4 =
  23. 23.12345678 × 8 + 8 =
  24. 24.37 × 9 =
  25. 25.12345679 × 54 =
  26. 26.12345679 × 63 =
  27. 27.1234567 × 8 + 7 =
  28. 28.37 × 15 =
  29. 29.12345678 × 9 + 9 =
  30. 30.37 × 3 =
  31. 31.1111 × 1111 =
  32. 32.37 × 6 =
  33. 33.12345679 × 36 =
  34. 34.37 × 6 =
  35. 35.12345679 × 45 =
  36. 36.37 × 12 =
  37. 37.12345679 × 54 =
  38. 38.37 × 27 =
  39. 39.12345 × 9 + 6 =
  40. 40.37 × 18 =

Answer key

  1. 11111111
  2. 11111
  3. 123454321
  4. 1111111
  5. 888888888
  6. 666
  7. 987
  8. 12321
  9. 777
  10. 111111111
  11. 333333333
  12. 222222222
  13. 12345654321
  14. 121
  15. 999999999
  16. 888
  17. 98765
  18. 987654
  19. 1111
  20. 111
  21. 98
  22. 9876
  23. 98765432
  24. 333
  25. 666666666
  26. 777777777
  27. 9876543
  28. 555
  29. 111111111
  30. 111
  31. 1234321
  32. 222
  33. 444444444
  34. 222
  35. 555555555
  36. 444
  37. 666666666
  38. 999
  39. 111111
  40. 666

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