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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 861 · 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. 1.12345679 × 27 =
  2. 2.12345 × 8 + 5 =
  3. 3.11 × 11 =
  4. 4.12 × 9 + 3 =
  5. 5.37 × 21 =
  6. 6.1234 × 9 + 5 =
  7. 7.37 × 27 =
  8. 8.11111 × 11111 =
  9. 9.12345 × 9 + 6 =
  10. 10.123 × 9 + 4 =
  11. 11.12345678 × 8 + 8 =
  12. 12.111 × 111 =
  13. 13.12345679 × 36 =
  14. 14.123 × 8 + 3 =
  15. 15.12345679 × 81 =
  16. 16.12345679 × 72 =
  17. 17.12 × 8 + 2 =
  18. 18.37 × 18 =
  19. 19.12345679 × 63 =
  20. 20.37 × 6 =
  21. 21.37 × 15 =
  22. 22.37 × 9 =
  23. 23.12345679 × 9 =
  24. 24.37 × 3 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345679 × 18 =
  27. 27.12345679 × 45 =
  28. 28.1234 × 8 + 4 =
  29. 29.123456 × 8 + 6 =
  30. 30.1111 × 1111 =
  31. 31.12345679 × 54 =
  32. 32.111111 × 111111 =
  33. 33.12345678 × 9 + 9 =
  34. 34.123456 × 9 + 7 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345679 × 63 =
  37. 37.12345 × 9 + 6 =
  38. 38.37 × 24 =
  39. 39.123456789 × 8 + 9 =
  40. 40.123 × 9 + 4 =

Answer key

  1. 333333333
  2. 98765
  3. 121
  4. 111
  5. 777
  6. 11111
  7. 999
  8. 123454321
  9. 111111
  10. 1111
  11. 98765432
  12. 12321
  13. 444444444
  14. 987
  15. 999999999
  16. 888888888
  17. 98
  18. 666
  19. 777777777
  20. 222
  21. 555
  22. 333
  23. 111111111
  24. 111
  25. 9876543
  26. 222222222
  27. 555555555
  28. 9876
  29. 987654
  30. 1234321
  31. 666666666
  32. 12345654321
  33. 111111111
  34. 1111111
  35. 11111111
  36. 777777777
  37. 111111
  38. 888
  39. 987654321
  40. 1111

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