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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 791 · 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 × 12 =
  2. 2.123456 × 9 + 7 =
  3. 3.1234 × 9 + 5 =
  4. 4.37 × 21 =
  5. 5.37 × 15 =
  6. 6.1234 × 8 + 4 =
  7. 7.12345679 × 18 =
  8. 8.11 × 11 =
  9. 9.111 × 111 =
  10. 10.12345679 × 63 =
  11. 11.37 × 24 =
  12. 12.12345679 × 81 =
  13. 13.37 × 6 =
  14. 14.123 × 8 + 3 =
  15. 15.11111 × 11111 =
  16. 16.37 × 3 =
  17. 17.123456789 × 8 + 9 =
  18. 18.123 × 9 + 4 =
  19. 19.12 × 9 + 3 =
  20. 20.12345679 × 27 =
  21. 21.37 × 18 =
  22. 22.12 × 8 + 2 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 27 =
  25. 25.12345679 × 54 =
  26. 26.111111 × 111111 =
  27. 27.12345679 × 72 =
  28. 28.12345679 × 9 =
  29. 29.37 × 9 =
  30. 30.12345678 × 8 + 8 =
  31. 31.1111 × 1111 =
  32. 32.12345 × 8 + 5 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345678 × 9 + 9 =
  35. 35.11111 × 11111 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12345 × 9 + 6 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 3 =
  40. 40.111 × 111 =

Answer key

  1. 444
  2. 1111111
  3. 11111
  4. 777
  5. 555
  6. 9876
  7. 222222222
  8. 121
  9. 12321
  10. 777777777
  11. 888
  12. 999999999
  13. 222
  14. 987
  15. 123454321
  16. 111
  17. 987654321
  18. 1111
  19. 111
  20. 333333333
  21. 666
  22. 98
  23. 987654
  24. 999
  25. 666666666
  26. 12345654321
  27. 888888888
  28. 111111111
  29. 333
  30. 98765432
  31. 1234321
  32. 98765
  33. 9876543
  34. 111111111
  35. 123454321
  36. 11111111
  37. 111111
  38. 1111111
  39. 111
  40. 12321

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