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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 631 · 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. 1.1111 × 1111 =
  2. 2.111 × 111 =
  3. 3.12345 × 9 + 6 =
  4. 4.12345679 × 45 =
  5. 5.12345679 × 27 =
  6. 6.12345679 × 18 =
  7. 7.1234567 × 9 + 8 =
  8. 8.1234 × 8 + 4 =
  9. 9.123 × 9 + 4 =
  10. 10.12 × 9 + 3 =
  11. 11.123456 × 9 + 7 =
  12. 12.12345679 × 9 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12345679 × 72 =
  15. 15.123 × 8 + 3 =
  16. 16.11111 × 11111 =
  17. 17.111111 × 111111 =
  18. 18.37 × 6 =
  19. 19.12345678 × 9 + 9 =
  20. 20.123456 × 8 + 6 =
  21. 21.37 × 27 =
  22. 22.37 × 3 =
  23. 23.12 × 8 + 2 =
  24. 24.12345679 × 54 =
  25. 25.11 × 11 =
  26. 26.37 × 15 =
  27. 27.12345679 × 63 =
  28. 28.12345679 × 36 =
  29. 29.123456789 × 8 + 9 =
  30. 30.12345678 × 8 + 8 =
  31. 31.37 × 12 =
  32. 32.37 × 9 =
  33. 33.37 × 18 =
  34. 34.12345679 × 9 =
  35. 35.37 × 24 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345679 × 81 =
  38. 38.37 × 21 =
  39. 39.37 × 18 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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