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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 218 · 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 × 3 =
  3. 3.11 × 11 =
  4. 4.12345679 × 72 =
  5. 5.37 × 9 =
  6. 6.37 × 27 =
  7. 7.11111 × 11111 =
  8. 8.1234567 × 9 + 8 =
  9. 9.123 × 9 + 4 =
  10. 10.12345679 × 45 =
  11. 11.123 × 8 + 3 =
  12. 12.12 × 9 + 3 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 24 =
  15. 15.37 × 12 =
  16. 16.123456 × 9 + 7 =
  17. 17.12345678 × 8 + 8 =
  18. 18.123456789 × 8 + 9 =
  19. 19.111 × 111 =
  20. 20.37 × 6 =
  21. 21.12345679 × 54 =
  22. 22.12345679 × 36 =
  23. 23.1234 × 8 + 4 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345679 × 27 =
  26. 26.37 × 21 =
  27. 27.123456 × 8 + 6 =
  28. 28.12345679 × 9 =
  29. 29.12345679 × 81 =
  30. 30.1234 × 9 + 5 =
  31. 31.1111 × 1111 =
  32. 32.111111 × 111111 =
  33. 33.12345 × 9 + 6 =
  34. 34.12345678 × 9 + 9 =
  35. 35.1111 × 1111 =
  36. 36.37 × 15 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345679 × 18 =
  39. 39.37 × 3 =
  40. 40.12345 × 8 + 5 =

Answer key

  1. 666
  2. 111
  3. 121
  4. 888888888
  5. 333
  6. 999
  7. 123454321
  8. 11111111
  9. 1111
  10. 555555555
  11. 987
  12. 111
  13. 98
  14. 888
  15. 444
  16. 1111111
  17. 98765432
  18. 987654321
  19. 12321
  20. 222
  21. 666666666
  22. 444444444
  23. 9876
  24. 9876543
  25. 333333333
  26. 777
  27. 987654
  28. 111111111
  29. 999999999
  30. 11111
  31. 1234321
  32. 12345654321
  33. 111111
  34. 111111111
  35. 1234321
  36. 555
  37. 11111
  38. 222222222
  39. 111
  40. 98765

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