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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 677 · 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. 2.123456 × 9 + 7 =
  3. 3.12345 × 8 + 5 =
  4. 4.1234567 × 9 + 8 =
  5. 5.111111 × 111111 =
  6. 6.111 × 111 =
  7. 7.37 × 6 =
  8. 8.12345679 × 54 =
  9. 9.1234 × 9 + 5 =
  10. 10.12 × 9 + 3 =
  11. 11.37 × 15 =
  12. 12.37 × 9 =
  13. 13.37 × 3 =
  14. 14.1234 × 8 + 4 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12345679 × 9 =
  17. 17.12345679 × 18 =
  18. 18.12345679 × 81 =
  19. 19.123456 × 8 + 6 =
  20. 20.11 × 11 =
  21. 21.123 × 8 + 3 =
  22. 22.12345679 × 36 =
  23. 23.1234567 × 8 + 7 =
  24. 24.1111 × 1111 =
  25. 25.12345679 × 63 =
  26. 26.37 × 27 =
  27. 27.12345679 × 45 =
  28. 28.123 × 9 + 4 =
  29. 29.12345 × 9 + 6 =
  30. 30.37 × 18 =
  31. 31.12345679 × 72 =
  32. 32.37 × 21 =
  33. 33.12345678 × 9 + 9 =
  34. 34.12 × 8 + 2 =
  35. 35.1234 × 9 + 5 =
  36. 36.11 × 11 =
  37. 37.37 × 12 =
  38. 38.12345679 × 27 =
  39. 39.37 × 15 =
  40. 40.37 × 21 =

Answer key

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

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