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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 706 · 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. 1.37 × 18 =
  2. 2.12 × 8 + 2 =
  3. 3.1234567 × 9 + 8 =
  4. 4.12 × 9 + 3 =
  5. 5.123 × 9 + 4 =
  6. 6.37 × 15 =
  7. 7.12345679 × 45 =
  8. 8.37 × 27 =
  9. 9.12345679 × 9 =
  10. 10.12345679 × 54 =
  11. 11.12345679 × 81 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 36 =
  14. 14.12345679 × 18 =
  15. 15.37 × 24 =
  16. 16.37 × 12 =
  17. 17.11111 × 11111 =
  18. 18.111111 × 111111 =
  19. 19.37 × 9 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12345 × 8 + 5 =
  22. 22.123 × 8 + 3 =
  23. 23.1234 × 9 + 5 =
  24. 24.12345679 × 72 =
  25. 25.1234567 × 8 + 7 =
  26. 26.11 × 11 =
  27. 27.37 × 6 =
  28. 28.12345679 × 27 =
  29. 29.37 × 21 =
  30. 30.37 × 3 =
  31. 31.12345678 × 9 + 9 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345679 × 27 =
  34. 34.123456 × 8 + 6 =
  35. 35.1234 × 8 + 4 =
  36. 36.123456789 × 8 + 9 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 36 =
  39. 39.12345679 × 72 =
  40. 40.12345 × 9 + 6 =

Answer key

  1. 666
  2. 98
  3. 11111111
  4. 111
  5. 1111
  6. 555
  7. 555555555
  8. 999
  9. 111111111
  10. 666666666
  11. 999999999
  12. 1234321
  13. 444444444
  14. 222222222
  15. 888
  16. 444
  17. 123454321
  18. 12345654321
  19. 333
  20. 98765432
  21. 98765
  22. 987
  23. 11111
  24. 888888888
  25. 9876543
  26. 121
  27. 222
  28. 333333333
  29. 777
  30. 111
  31. 111111111
  32. 1111111
  33. 333333333
  34. 987654
  35. 9876
  36. 987654321
  37. 9876543
  38. 444444444
  39. 888888888
  40. 111111

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