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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 536 · 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. 1.111 × 111 =
  2. 2.123456 × 8 + 6 =
  3. 3.12345 × 9 + 6 =
  4. 4.37 × 3 =
  5. 5.12345679 × 27 =
  6. 6.12345679 × 36 =
  7. 7.1111 × 1111 =
  8. 8.11111 × 11111 =
  9. 9.123 × 9 + 4 =
  10. 10.12345679 × 18 =
  11. 11.11 × 11 =
  12. 12.1234 × 8 + 4 =
  13. 13.12345678 × 8 + 8 =
  14. 14.12345679 × 63 =
  15. 15.37 × 21 =
  16. 16.123456789 × 8 + 9 =
  17. 17.37 × 15 =
  18. 18.12345679 × 9 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345 × 8 + 5 =
  21. 21.37 × 24 =
  22. 22.12345679 × 72 =
  23. 23.12345679 × 81 =
  24. 24.37 × 18 =
  25. 25.111111 × 111111 =
  26. 26.37 × 6 =
  27. 27.12345678 × 9 + 9 =
  28. 28.123 × 8 + 3 =
  29. 29.111111 × 111111 =
  30. 30.12345679 × 54 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12 × 9 + 3 =
  33. 33.12345679 × 45 =
  34. 34.37 × 27 =
  35. 35.37 × 12 =
  36. 36.123456 × 9 + 7 =
  37. 37.37 × 9 =
  38. 38.12345679 × 54 =
  39. 39.12 × 8 + 2 =
  40. 40.12345679 × 45 =

Answer key

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

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