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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 477 · 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 × 3 =
  2. 2.111111 × 111111 =
  3. 3.11 × 11 =
  4. 4.12345679 × 72 =
  5. 5.37 × 21 =
  6. 6.123456 × 8 + 6 =
  7. 7.37 × 27 =
  8. 8.12345679 × 45 =
  9. 9.1111 × 1111 =
  10. 10.37 × 9 =
  11. 11.123456 × 9 + 7 =
  12. 12.11111 × 11111 =
  13. 13.1234 × 8 + 4 =
  14. 14.12345 × 8 + 5 =
  15. 15.123 × 9 + 4 =
  16. 16.12 × 8 + 2 =
  17. 17.37 × 24 =
  18. 18.12345678 × 8 + 8 =
  19. 19.12345679 × 18 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345679 × 9 =
  22. 22.123 × 8 + 3 =
  23. 23.12345679 × 63 =
  24. 24.1234 × 9 + 5 =
  25. 25.37 × 12 =
  26. 26.12345679 × 36 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 15 =
  29. 29.111 × 111 =
  30. 30.12345679 × 81 =
  31. 31.37 × 18 =
  32. 32.1234567 × 9 + 8 =
  33. 33.12345679 × 54 =
  34. 34.37 × 6 =
  35. 35.1234567 × 8 + 7 =
  36. 36.123456789 × 8 + 9 =
  37. 37.12345679 × 18 =
  38. 38.12345679 × 9 =
  39. 39.12345679 × 27 =
  40. 40.12345679 × 81 =

Answer key

  1. 111
  2. 12345654321
  3. 121
  4. 888888888
  5. 777
  6. 987654
  7. 999
  8. 555555555
  9. 1234321
  10. 333
  11. 1111111
  12. 123454321
  13. 9876
  14. 98765
  15. 1111
  16. 98
  17. 888
  18. 98765432
  19. 222222222
  20. 111111
  21. 111111111
  22. 987
  23. 777777777
  24. 11111
  25. 444
  26. 444444444
  27. 111111111
  28. 555
  29. 12321
  30. 999999999
  31. 666
  32. 11111111
  33. 666666666
  34. 222
  35. 9876543
  36. 987654321
  37. 222222222
  38. 111111111
  39. 333333333
  40. 999999999

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