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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 342 · 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. 2.12345679 × 18 =
  3. 3.123456 × 9 + 7 =
  4. 4.123456 × 8 + 6 =
  5. 5.111 × 111 =
  6. 6.37 × 9 =
  7. 7.12345678 × 8 + 8 =
  8. 8.12345679 × 81 =
  9. 9.37 × 27 =
  10. 10.37 × 15 =
  11. 11.1111 × 1111 =
  12. 12.37 × 3 =
  13. 13.12345679 × 36 =
  14. 14.12 × 9 + 3 =
  15. 15.12345679 × 9 =
  16. 16.11111 × 11111 =
  17. 17.123 × 9 + 4 =
  18. 18.1234 × 8 + 4 =
  19. 19.123 × 8 + 3 =
  20. 20.37 × 6 =
  21. 21.12345679 × 72 =
  22. 22.1234 × 9 + 5 =
  23. 23.37 × 18 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345679 × 54 =
  26. 26.123456789 × 8 + 9 =
  27. 27.12345679 × 27 =
  28. 28.37 × 21 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12 × 8 + 2 =
  31. 31.12345679 × 45 =
  32. 32.12345 × 9 + 6 =
  33. 33.37 × 24 =
  34. 34.12345679 × 63 =
  35. 35.37 × 12 =
  36. 36.1234 × 9 + 5 =
  37. 37.1234567 × 9 + 8 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 81 =
  40. 40.12345679 × 36 =

Answer key

  1. 121
  2. 222222222
  3. 1111111
  4. 987654
  5. 12321
  6. 333
  7. 98765432
  8. 999999999
  9. 999
  10. 555
  11. 1234321
  12. 111
  13. 444444444
  14. 111
  15. 111111111
  16. 123454321
  17. 1111
  18. 9876
  19. 987
  20. 222
  21. 888888888
  22. 11111
  23. 666
  24. 9876543
  25. 666666666
  26. 987654321
  27. 333333333
  28. 777
  29. 111111111
  30. 98
  31. 555555555
  32. 111111
  33. 888
  34. 777777777
  35. 444
  36. 11111
  37. 11111111
  38. 999999999
  39. 999999999
  40. 444444444

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