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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 358 · 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. 1.11111 × 11111 =
  2. 2.12345679 × 63 =
  3. 3.1234567 × 8 + 7 =
  4. 4.12345679 × 27 =
  5. 5.12345678 × 8 + 8 =
  6. 6.1234 × 8 + 4 =
  7. 7.123456 × 8 + 6 =
  8. 8.12345679 × 54 =
  9. 9.123 × 9 + 4 =
  10. 10.1111 × 1111 =
  11. 11.12 × 8 + 2 =
  12. 12.12345679 × 72 =
  13. 13.111111 × 111111 =
  14. 14.37 × 12 =
  15. 15.12345678 × 9 + 9 =
  16. 16.12345679 × 81 =
  17. 17.12345679 × 45 =
  18. 18.12345679 × 18 =
  19. 19.37 × 21 =
  20. 20.1234567 × 9 + 8 =
  21. 21.111 × 111 =
  22. 22.37 × 15 =
  23. 23.11 × 11 =
  24. 24.37 × 6 =
  25. 25.12345679 × 9 =
  26. 26.37 × 9 =
  27. 27.123 × 8 + 3 =
  28. 28.12345679 × 36 =
  29. 29.1234 × 9 + 5 =
  30. 30.37 × 27 =
  31. 31.37 × 18 =
  32. 32.12345 × 9 + 6 =
  33. 33.37 × 24 =
  34. 34.12345679 × 72 =
  35. 35.12 × 9 + 3 =
  36. 36.37 × 3 =
  37. 37.11 × 11 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 27 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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