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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 731 · 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. 1.123456 × 8 + 6 =
  2. 2.111111 × 111111 =
  3. 3.12 × 9 + 3 =
  4. 4.123456789 × 8 + 9 =
  5. 5.12345679 × 45 =
  6. 6.11 × 11 =
  7. 7.1234 × 8 + 4 =
  8. 8.12345679 × 27 =
  9. 9.11111 × 11111 =
  10. 10.123 × 8 + 3 =
  11. 11.12345678 × 8 + 8 =
  12. 12.123 × 9 + 4 =
  13. 13.1234 × 9 + 5 =
  14. 14.12 × 8 + 2 =
  15. 15.111 × 111 =
  16. 16.12345679 × 81 =
  17. 17.12345679 × 9 =
  18. 18.12345679 × 54 =
  19. 19.37 × 12 =
  20. 20.37 × 24 =
  21. 21.12345679 × 63 =
  22. 22.1111 × 1111 =
  23. 23.37 × 3 =
  24. 24.12345679 × 18 =
  25. 25.1234567 × 9 + 8 =
  26. 26.37 × 6 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 27 =
  29. 29.37 × 9 =
  30. 30.37 × 21 =
  31. 31.37 × 18 =
  32. 32.12345679 × 36 =
  33. 33.37 × 15 =
  34. 34.123456 × 9 + 7 =
  35. 35.11 × 11 =
  36. 36.12345679 × 72 =
  37. 37.12345 × 8 + 5 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345 × 8 + 5 =
  40. 40.12345679 × 36 =

Answer key

  1. 987654
  2. 12345654321
  3. 111
  4. 987654321
  5. 555555555
  6. 121
  7. 9876
  8. 333333333
  9. 123454321
  10. 987
  11. 98765432
  12. 1111
  13. 11111
  14. 98
  15. 12321
  16. 999999999
  17. 111111111
  18. 666666666
  19. 444
  20. 888
  21. 777777777
  22. 1234321
  23. 111
  24. 222222222
  25. 11111111
  26. 222
  27. 111111111
  28. 999
  29. 333
  30. 777
  31. 666
  32. 444444444
  33. 555
  34. 1111111
  35. 121
  36. 888888888
  37. 98765
  38. 9876543
  39. 98765
  40. 444444444

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