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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 841 · 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. 1.11 × 11 =
  2. 2.37 × 21 =
  3. 3.1234 × 8 + 4 =
  4. 4.123 × 9 + 4 =
  5. 5.12345678 × 9 + 9 =
  6. 6.12345679 × 45 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345679 × 27 =
  9. 9.12345679 × 72 =
  10. 10.37 × 9 =
  11. 11.111 × 111 =
  12. 12.12345 × 9 + 6 =
  13. 13.12 × 9 + 3 =
  14. 14.123 × 8 + 3 =
  15. 15.111111 × 111111 =
  16. 16.12 × 8 + 2 =
  17. 17.37 × 18 =
  18. 18.11111 × 11111 =
  19. 19.37 × 6 =
  20. 20.37 × 24 =
  21. 21.37 × 15 =
  22. 22.123456 × 9 + 7 =
  23. 23.12345679 × 63 =
  24. 24.12345678 × 8 + 8 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345679 × 18 =
  27. 27.12345 × 9 + 6 =
  28. 28.12345679 × 54 =
  29. 29.123456 × 8 + 6 =
  30. 30.12345679 × 9 =
  31. 31.1234 × 9 + 5 =
  32. 32.1234567 × 9 + 8 =
  33. 33.123456789 × 8 + 9 =
  34. 34.1111 × 1111 =
  35. 35.37 × 3 =
  36. 36.37 × 6 =
  37. 37.37 × 12 =
  38. 38.1234567 × 8 + 7 =
  39. 39.123456 × 9 + 7 =
  40. 40.12345679 × 72 =

Answer key

  1. 121
  2. 777
  3. 9876
  4. 1111
  5. 111111111
  6. 555555555
  7. 98765
  8. 333333333
  9. 888888888
  10. 333
  11. 12321
  12. 111111
  13. 111
  14. 987
  15. 12345654321
  16. 98
  17. 666
  18. 123454321
  19. 222
  20. 888
  21. 555
  22. 1111111
  23. 777777777
  24. 98765432
  25. 9876543
  26. 222222222
  27. 111111
  28. 666666666
  29. 987654
  30. 111111111
  31. 11111
  32. 11111111
  33. 987654321
  34. 1234321
  35. 111
  36. 222
  37. 444
  38. 9876543
  39. 1111111
  40. 888888888

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