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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 464 · 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. 1.123 × 8 + 3 =
  2. 2.111 × 111 =
  3. 3.12345679 × 27 =
  4. 4.12 × 8 + 2 =
  5. 5.37 × 6 =
  6. 6.1111 × 1111 =
  7. 7.1234 × 8 + 4 =
  8. 8.11111 × 11111 =
  9. 9.1234567 × 8 + 7 =
  10. 10.11 × 11 =
  11. 11.37 × 21 =
  12. 12.12345679 × 9 =
  13. 13.1234567 × 9 + 8 =
  14. 14.12345679 × 36 =
  15. 15.12345679 × 72 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345679 × 45 =
  18. 18.37 × 12 =
  19. 19.123 × 9 + 4 =
  20. 20.123456789 × 8 + 9 =
  21. 21.37 × 3 =
  22. 22.37 × 9 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 18 =
  25. 25.37 × 24 =
  26. 26.111111 × 111111 =
  27. 27.12345679 × 18 =
  28. 28.12345678 × 8 + 8 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 27 =
  32. 32.12345678 × 8 + 8 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 45 =
  35. 35.12345679 × 54 =
  36. 36.37 × 9 =
  37. 37.12345679 × 63 =
  38. 38.37 × 15 =
  39. 39.12 × 9 + 3 =
  40. 40.12345679 × 81 =

Answer key

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

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