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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 476 · 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. 1.12345679 × 45 =
  2. 2.11 × 11 =
  3. 3.12345679 × 72 =
  4. 4.37 × 9 =
  5. 5.37 × 18 =
  6. 6.123456 × 9 + 7 =
  7. 7.1234 × 8 + 4 =
  8. 8.12345 × 9 + 6 =
  9. 9.12345679 × 18 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12 × 9 + 3 =
  12. 12.12345679 × 81 =
  13. 13.1234567 × 9 + 8 =
  14. 14.1111 × 1111 =
  15. 15.37 × 6 =
  16. 16.37 × 12 =
  17. 17.12345679 × 27 =
  18. 18.12345679 × 9 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345 × 8 + 5 =
  21. 21.111111 × 111111 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345678 × 8 + 8 =
  24. 24.12 × 8 + 2 =
  25. 25.12345679 × 36 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12345679 × 54 =
  28. 28.37 × 21 =
  29. 29.37 × 24 =
  30. 30.123456 × 8 + 6 =
  31. 31.111 × 111 =
  32. 32.37 × 3 =
  33. 33.12345679 × 63 =
  34. 34.111 × 111 =
  35. 35.37 × 21 =
  36. 36.37 × 15 =
  37. 37.123 × 9 + 4 =
  38. 38.11111 × 11111 =
  39. 39.123 × 8 + 3 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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