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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 278 · 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. 2.11 × 11 =
  3. 3.37 × 9 =
  4. 4.111 × 111 =
  5. 5.37 × 21 =
  6. 6.1111 × 1111 =
  7. 7.37 × 15 =
  8. 8.1234 × 9 + 5 =
  9. 9.12345678 × 8 + 8 =
  10. 10.123 × 8 + 3 =
  11. 11.12345679 × 81 =
  12. 12.1234567 × 8 + 7 =
  13. 13.37 × 18 =
  14. 14.111111 × 111111 =
  15. 15.12345679 × 36 =
  16. 16.12345679 × 72 =
  17. 17.11111 × 11111 =
  18. 18.37 × 6 =
  19. 19.12345679 × 18 =
  20. 20.12345679 × 54 =
  21. 21.12 × 8 + 2 =
  22. 22.12 × 9 + 3 =
  23. 23.12345679 × 45 =
  24. 24.37 × 24 =
  25. 25.1234 × 8 + 4 =
  26. 26.123456 × 8 + 6 =
  27. 27.1234567 × 9 + 8 =
  28. 28.12345679 × 27 =
  29. 29.37 × 27 =
  30. 30.37 × 3 =
  31. 31.12345 × 9 + 6 =
  32. 32.37 × 12 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345678 × 8 + 8 =
  35. 35.37 × 15 =
  36. 36.12345678 × 9 + 9 =
  37. 37.12345679 × 45 =
  38. 38.12345679 × 63 =
  39. 39.12345 × 9 + 6 =
  40. 40.12345679 × 63 =

Answer key

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

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