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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 665 · 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. 2.37 × 6 =
  3. 3.1234567 × 9 + 8 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12345679 × 63 =
  6. 6.37 × 21 =
  7. 7.12345 × 8 + 5 =
  8. 8.1234 × 8 + 4 =
  9. 9.12 × 8 + 2 =
  10. 10.12345 × 9 + 6 =
  11. 11.1234 × 9 + 5 =
  12. 12.37 × 27 =
  13. 13.37 × 9 =
  14. 14.37 × 12 =
  15. 15.123456789 × 8 + 9 =
  16. 16.12345679 × 36 =
  17. 17.37 × 3 =
  18. 18.11 × 11 =
  19. 19.11111 × 11111 =
  20. 20.37 × 18 =
  21. 21.12 × 9 + 3 =
  22. 22.37 × 15 =
  23. 23.12345678 × 8 + 8 =
  24. 24.123456 × 9 + 7 =
  25. 25.111111 × 111111 =
  26. 26.12345679 × 72 =
  27. 27.12345679 × 18 =
  28. 28.111 × 111 =
  29. 29.12345679 × 45 =
  30. 30.123 × 9 + 4 =
  31. 31.12345679 × 54 =
  32. 32.11111 × 11111 =
  33. 33.123456 × 8 + 6 =
  34. 34.37 × 15 =
  35. 35.12345679 × 9 =
  36. 36.123 × 8 + 3 =
  37. 37.12345679 × 81 =
  38. 38.12345679 × 36 =
  39. 39.37 × 24 =
  40. 40.12345 × 9 + 6 =

Answer key

  1. 1234321
  2. 222
  3. 11111111
  4. 9876543
  5. 777777777
  6. 777
  7. 98765
  8. 9876
  9. 98
  10. 111111
  11. 11111
  12. 999
  13. 333
  14. 444
  15. 987654321
  16. 444444444
  17. 111
  18. 121
  19. 123454321
  20. 666
  21. 111
  22. 555
  23. 98765432
  24. 1111111
  25. 12345654321
  26. 888888888
  27. 222222222
  28. 12321
  29. 555555555
  30. 1111
  31. 666666666
  32. 123454321
  33. 987654
  34. 555
  35. 111111111
  36. 987
  37. 999999999
  38. 444444444
  39. 888
  40. 111111

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