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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 449 · 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 × 9 + 4 =
  2. 2.37 × 3 =
  3. 3.37 × 6 =
  4. 4.37 × 15 =
  5. 5.12345 × 8 + 5 =
  6. 6.11 × 11 =
  7. 7.111 × 111 =
  8. 8.12 × 9 + 3 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 18 =
  11. 11.37 × 27 =
  12. 12.37 × 18 =
  13. 13.37 × 9 =
  14. 14.12 × 8 + 2 =
  15. 15.12345679 × 72 =
  16. 16.1111 × 1111 =
  17. 17.12345678 × 8 + 8 =
  18. 18.37 × 24 =
  19. 19.37 × 12 =
  20. 20.1234567 × 9 + 8 =
  21. 21.12345678 × 9 + 9 =
  22. 22.12345679 × 27 =
  23. 23.1234 × 8 + 4 =
  24. 24.11111 × 11111 =
  25. 25.12345679 × 36 =
  26. 26.123456 × 9 + 7 =
  27. 27.37 × 21 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345679 × 45 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345679 × 63 =
  32. 32.123 × 8 + 3 =
  33. 33.12345679 × 81 =
  34. 34.1234 × 9 + 5 =
  35. 35.111111 × 111111 =
  36. 36.12345679 × 9 =
  37. 37.12345679 × 54 =
  38. 38.37 × 6 =
  39. 39.12345679 × 63 =
  40. 40.12 × 8 + 2 =

Answer key

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

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