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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 605 · 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 × 12 =
  4. 4.12345678 × 9 + 9 =
  5. 5.1111 × 1111 =
  6. 6.123 × 8 + 3 =
  7. 7.12345 × 9 + 6 =
  8. 8.12345679 × 63 =
  9. 9.111 × 111 =
  10. 10.123456789 × 8 + 9 =
  11. 11.37 × 18 =
  12. 12.37 × 21 =
  13. 13.12345679 × 54 =
  14. 14.12345679 × 9 =
  15. 15.12 × 8 + 2 =
  16. 16.37 × 15 =
  17. 17.123456 × 9 + 7 =
  18. 18.11111 × 11111 =
  19. 19.12345679 × 36 =
  20. 20.111111 × 111111 =
  21. 21.1234567 × 9 + 8 =
  22. 22.1234 × 9 + 5 =
  23. 23.1234 × 8 + 4 =
  24. 24.123456 × 8 + 6 =
  25. 25.12 × 9 + 3 =
  26. 26.12345679 × 18 =
  27. 27.37 × 27 =
  28. 28.37 × 24 =
  29. 29.1234567 × 8 + 7 =
  30. 30.37 × 6 =
  31. 31.12345679 × 27 =
  32. 32.12345678 × 8 + 8 =
  33. 33.37 × 9 =
  34. 34.12345679 × 72 =
  35. 35.12345679 × 81 =
  36. 36.111 × 111 =
  37. 37.37 × 3 =
  38. 38.37 × 27 =
  39. 39.37 × 18 =
  40. 40.12345679 × 63 =

Answer key

  1. 1111
  2. 121
  3. 444
  4. 111111111
  5. 1234321
  6. 987
  7. 111111
  8. 777777777
  9. 12321
  10. 987654321
  11. 666
  12. 777
  13. 666666666
  14. 111111111
  15. 98
  16. 555
  17. 1111111
  18. 123454321
  19. 444444444
  20. 12345654321
  21. 11111111
  22. 11111
  23. 9876
  24. 987654
  25. 111
  26. 222222222
  27. 999
  28. 888
  29. 9876543
  30. 222
  31. 333333333
  32. 98765432
  33. 333
  34. 888888888
  35. 999999999
  36. 12321
  37. 111
  38. 999
  39. 666
  40. 777777777

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