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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 246 · 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. 1.11 × 11 =
  2. 2.111111 × 111111 =
  3. 3.123 × 8 + 3 =
  4. 4.12345679 × 9 =
  5. 5.12345 × 8 + 5 =
  6. 6.12345679 × 27 =
  7. 7.123 × 9 + 4 =
  8. 8.11111 × 11111 =
  9. 9.1111 × 1111 =
  10. 10.37 × 24 =
  11. 11.37 × 18 =
  12. 12.12345679 × 18 =
  13. 13.37 × 3 =
  14. 14.123456 × 9 + 7 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345679 × 63 =
  18. 18.37 × 27 =
  19. 19.12345679 × 81 =
  20. 20.111 × 111 =
  21. 21.12 × 8 + 2 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12345679 × 54 =
  24. 24.1234 × 8 + 4 =
  25. 25.37 × 9 =
  26. 26.12345679 × 36 =
  27. 27.37 × 12 =
  28. 28.1234567 × 8 + 7 =
  29. 29.37 × 6 =
  30. 30.12345679 × 72 =
  31. 31.1234 × 9 + 5 =
  32. 32.12 × 9 + 3 =
  33. 33.37 × 15 =
  34. 34.37 × 21 =
  35. 35.12345679 × 45 =
  36. 36.12345679 × 81 =
  37. 37.12 × 8 + 2 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12 × 9 + 3 =
  40. 40.37 × 18 =

Answer key

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

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