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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 696 · 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 × 27 =
  2. 2.12345679 × 54 =
  3. 3.111 × 111 =
  4. 4.111111 × 111111 =
  5. 5.37 × 24 =
  6. 6.123 × 9 + 4 =
  7. 7.37 × 27 =
  8. 8.12345679 × 45 =
  9. 9.12345 × 8 + 5 =
  10. 10.37 × 3 =
  11. 11.1111 × 1111 =
  12. 12.11111 × 11111 =
  13. 13.12345679 × 18 =
  14. 14.37 × 21 =
  15. 15.12345679 × 36 =
  16. 16.37 × 15 =
  17. 17.1234 × 8 + 4 =
  18. 18.12345679 × 81 =
  19. 19.12 × 9 + 3 =
  20. 20.37 × 18 =
  21. 21.123456 × 8 + 6 =
  22. 22.12 × 8 + 2 =
  23. 23.1234567 × 9 + 8 =
  24. 24.11 × 11 =
  25. 25.12345679 × 9 =
  26. 26.37 × 12 =
  27. 27.37 × 9 =
  28. 28.37 × 6 =
  29. 29.12345679 × 72 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345679 × 63 =
  32. 32.123456 × 9 + 7 =
  33. 33.1234 × 9 + 5 =
  34. 34.1234567 × 8 + 7 =
  35. 35.123456789 × 8 + 9 =
  36. 36.12345678 × 9 + 9 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345678 × 8 + 8 =
  39. 39.12 × 9 + 3 =
  40. 40.12345679 × 36 =

Answer key

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

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