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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 581 · 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. 1.12345 × 9 + 6 =
  2. 2.12345679 × 45 =
  3. 3.37 × 27 =
  4. 4.11 × 11 =
  5. 5.12 × 9 + 3 =
  6. 6.12345679 × 63 =
  7. 7.37 × 12 =
  8. 8.12 × 8 + 2 =
  9. 9.1111 × 1111 =
  10. 10.12345679 × 72 =
  11. 11.1234567 × 8 + 7 =
  12. 12.12345679 × 9 =
  13. 13.123456 × 8 + 6 =
  14. 14.123456789 × 8 + 9 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 54 =
  17. 17.37 × 21 =
  18. 18.123 × 9 + 4 =
  19. 19.37 × 6 =
  20. 20.11111 × 11111 =
  21. 21.37 × 24 =
  22. 22.123456 × 9 + 7 =
  23. 23.1234 × 8 + 4 =
  24. 24.37 × 3 =
  25. 25.37 × 15 =
  26. 26.111 × 111 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345678 × 9 + 9 =
  29. 29.12345 × 8 + 5 =
  30. 30.12345679 × 27 =
  31. 31.12345679 × 18 =
  32. 32.111111 × 111111 =
  33. 33.37 × 18 =
  34. 34.12345679 × 81 =
  35. 35.1234 × 8 + 4 =
  36. 36.37 × 9 =
  37. 37.12345 × 8 + 5 =
  38. 38.12345678 × 8 + 8 =
  39. 39.12345679 × 36 =
  40. 40.37 × 18 =

Answer key

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

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