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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 488 · 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. 2.123 × 9 + 4 =
  3. 3.12345679 × 18 =
  4. 4.12345 × 9 + 6 =
  5. 5.12 × 9 + 3 =
  6. 6.12345679 × 45 =
  7. 7.123456 × 9 + 7 =
  8. 8.12345678 × 9 + 9 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 12 =
  11. 11.111111 × 111111 =
  12. 12.11 × 11 =
  13. 13.12345679 × 27 =
  14. 14.12345679 × 9 =
  15. 15.12345679 × 81 =
  16. 16.12 × 8 + 2 =
  17. 17.123456789 × 8 + 9 =
  18. 18.111 × 111 =
  19. 19.37 × 24 =
  20. 20.37 × 6 =
  21. 21.37 × 27 =
  22. 22.37 × 21 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 63 =
  25. 25.37 × 18 =
  26. 26.37 × 3 =
  27. 27.12345679 × 54 =
  28. 28.37 × 15 =
  29. 29.12345679 × 36 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345 × 8 + 5 =
  33. 33.12345679 × 72 =
  34. 34.37 × 9 =
  35. 35.1234 × 9 + 5 =
  36. 36.37 × 21 =
  37. 37.1234567 × 9 + 8 =
  38. 38.11111 × 11111 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 36 =

Answer key

  1. 1234321
  2. 1111
  3. 222222222
  4. 111111
  5. 111
  6. 555555555
  7. 1111111
  8. 111111111
  9. 987
  10. 444
  11. 12345654321
  12. 121
  13. 333333333
  14. 111111111
  15. 999999999
  16. 98
  17. 987654321
  18. 12321
  19. 888
  20. 222
  21. 999
  22. 777
  23. 9876
  24. 777777777
  25. 666
  26. 111
  27. 666666666
  28. 555
  29. 444444444
  30. 9876543
  31. 98765432
  32. 98765
  33. 888888888
  34. 333
  35. 11111
  36. 777
  37. 11111111
  38. 123454321
  39. 1234321
  40. 444444444

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