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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 869 · 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 × 72 =
  2. 2.1234 × 8 + 4 =
  3. 3.12345678 × 9 + 9 =
  4. 4.37 × 27 =
  5. 5.11111 × 11111 =
  6. 6.1111 × 1111 =
  7. 7.12345679 × 81 =
  8. 8.12345679 × 9 =
  9. 9.12345679 × 36 =
  10. 10.12 × 9 + 3 =
  11. 11.1234 × 9 + 5 =
  12. 12.1234567 × 9 + 8 =
  13. 13.37 × 15 =
  14. 14.123456789 × 8 + 9 =
  15. 15.111 × 111 =
  16. 16.123 × 9 + 4 =
  17. 17.111111 × 111111 =
  18. 18.37 × 21 =
  19. 19.12 × 8 + 2 =
  20. 20.123456 × 9 + 7 =
  21. 21.12345679 × 18 =
  22. 22.11 × 11 =
  23. 23.37 × 24 =
  24. 24.37 × 3 =
  25. 25.37 × 18 =
  26. 26.12345678 × 8 + 8 =
  27. 27.37 × 9 =
  28. 28.37 × 12 =
  29. 29.12345679 × 27 =
  30. 30.123 × 8 + 3 =
  31. 31.1234567 × 8 + 7 =
  32. 32.123456 × 8 + 6 =
  33. 33.12345679 × 54 =
  34. 34.12345 × 8 + 5 =
  35. 35.12345 × 9 + 6 =
  36. 36.123 × 9 + 4 =
  37. 37.37 × 6 =
  38. 38.12345679 × 45 =
  39. 39.12345679 × 36 =
  40. 40.12345679 × 72 =

Answer key

  1. 888888888
  2. 9876
  3. 111111111
  4. 999
  5. 123454321
  6. 1234321
  7. 999999999
  8. 111111111
  9. 444444444
  10. 111
  11. 11111
  12. 11111111
  13. 555
  14. 987654321
  15. 12321
  16. 1111
  17. 12345654321
  18. 777
  19. 98
  20. 1111111
  21. 222222222
  22. 121
  23. 888
  24. 111
  25. 666
  26. 98765432
  27. 333
  28. 444
  29. 333333333
  30. 987
  31. 9876543
  32. 987654
  33. 666666666
  34. 98765
  35. 111111
  36. 1111
  37. 222
  38. 555555555
  39. 444444444
  40. 888888888

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