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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 711 · 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. 2.123 × 9 + 4 =
  3. 3.12345679 × 54 =
  4. 4.1111 × 1111 =
  5. 5.1234 × 8 + 4 =
  6. 6.12345679 × 81 =
  7. 7.11111 × 11111 =
  8. 8.37 × 12 =
  9. 9.12345679 × 18 =
  10. 10.12345679 × 72 =
  11. 11.12 × 9 + 3 =
  12. 12.123456 × 9 + 7 =
  13. 13.12345679 × 45 =
  14. 14.12345679 × 36 =
  15. 15.37 × 9 =
  16. 16.111 × 111 =
  17. 17.12345678 × 9 + 9 =
  18. 18.11 × 11 =
  19. 19.12345679 × 63 =
  20. 20.37 × 18 =
  21. 21.1234567 × 9 + 8 =
  22. 22.1234567 × 8 + 7 =
  23. 23.37 × 15 =
  24. 24.37 × 3 =
  25. 25.123 × 8 + 3 =
  26. 26.37 × 21 =
  27. 27.12345679 × 27 =
  28. 28.37 × 6 =
  29. 29.12345679 × 9 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345679 × 36 =
  32. 32.1234 × 9 + 5 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345679 × 54 =
  35. 35.111111 × 111111 =
  36. 36.12345678 × 8 + 8 =
  37. 37.12 × 8 + 2 =
  38. 38.37 × 27 =
  39. 39.12345 × 8 + 5 =
  40. 40.11111 × 11111 =

Answer key

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

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