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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 174 · 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 × 27 =
  3. 3.1234 × 8 + 4 =
  4. 4.37 × 3 =
  5. 5.123456 × 8 + 6 =
  6. 6.123456789 × 8 + 9 =
  7. 7.37 × 15 =
  8. 8.12345679 × 9 =
  9. 9.1234 × 9 + 5 =
  10. 10.111 × 111 =
  11. 11.37 × 24 =
  12. 12.111111 × 111111 =
  13. 13.1234567 × 9 + 8 =
  14. 14.12 × 9 + 3 =
  15. 15.12345679 × 81 =
  16. 16.12345679 × 27 =
  17. 17.11 × 11 =
  18. 18.12345679 × 45 =
  19. 19.12345 × 8 + 5 =
  20. 20.12345679 × 18 =
  21. 21.37 × 9 =
  22. 22.37 × 21 =
  23. 23.12345679 × 63 =
  24. 24.123 × 9 + 4 =
  25. 25.12345679 × 54 =
  26. 26.12 × 8 + 2 =
  27. 27.1234567 × 8 + 7 =
  28. 28.123456 × 9 + 7 =
  29. 29.12345679 × 63 =
  30. 30.12345678 × 9 + 9 =
  31. 31.12345679 × 36 =
  32. 32.12345679 × 72 =
  33. 33.11111 × 11111 =
  34. 34.12345678 × 8 + 8 =
  35. 35.37 × 18 =
  36. 36.37 × 12 =
  37. 37.123 × 8 + 3 =
  38. 38.12345679 × 45 =
  39. 39.37 × 6 =
  40. 40.12345 × 9 + 6 =

Answer key

  1. 1234321
  2. 999
  3. 9876
  4. 111
  5. 987654
  6. 987654321
  7. 555
  8. 111111111
  9. 11111
  10. 12321
  11. 888
  12. 12345654321
  13. 11111111
  14. 111
  15. 999999999
  16. 333333333
  17. 121
  18. 555555555
  19. 98765
  20. 222222222
  21. 333
  22. 777
  23. 777777777
  24. 1111
  25. 666666666
  26. 98
  27. 9876543
  28. 1111111
  29. 777777777
  30. 111111111
  31. 444444444
  32. 888888888
  33. 123454321
  34. 98765432
  35. 666
  36. 444
  37. 987
  38. 555555555
  39. 222
  40. 111111

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