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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 874 · 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. 1.1111 × 1111 =
  2. 2.1234567 × 8 + 7 =
  3. 3.12345 × 8 + 5 =
  4. 4.111111 × 111111 =
  5. 5.11111 × 11111 =
  6. 6.12345679 × 54 =
  7. 7.37 × 15 =
  8. 8.37 × 6 =
  9. 9.12345679 × 18 =
  10. 10.37 × 18 =
  11. 11.123456 × 9 + 7 =
  12. 12.37 × 12 =
  13. 13.123456 × 8 + 6 =
  14. 14.11 × 11 =
  15. 15.123456789 × 8 + 9 =
  16. 16.12345679 × 63 =
  17. 17.12345679 × 36 =
  18. 18.12345679 × 81 =
  19. 19.12345 × 9 + 6 =
  20. 20.12345678 × 8 + 8 =
  21. 21.123 × 9 + 4 =
  22. 22.12345679 × 27 =
  23. 23.37 × 27 =
  24. 24.1234 × 8 + 4 =
  25. 25.111 × 111 =
  26. 26.12 × 8 + 2 =
  27. 27.12 × 9 + 3 =
  28. 28.37 × 21 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345678 × 9 + 9 =
  31. 31.12345679 × 9 =
  32. 32.37 × 9 =
  33. 33.37 × 3 =
  34. 34.123 × 8 + 3 =
  35. 35.12345679 × 54 =
  36. 36.12345679 × 45 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345679 × 72 =
  39. 39.37 × 18 =
  40. 40.123 × 8 + 3 =

Answer key

  1. 1234321
  2. 9876543
  3. 98765
  4. 12345654321
  5. 123454321
  6. 666666666
  7. 555
  8. 222
  9. 222222222
  10. 666
  11. 1111111
  12. 444
  13. 987654
  14. 121
  15. 987654321
  16. 777777777
  17. 444444444
  18. 999999999
  19. 111111
  20. 98765432
  21. 1111
  22. 333333333
  23. 999
  24. 9876
  25. 12321
  26. 98
  27. 111
  28. 777
  29. 1111111
  30. 111111111
  31. 111111111
  32. 333
  33. 111
  34. 987
  35. 666666666
  36. 555555555
  37. 11111
  38. 888888888
  39. 666
  40. 987

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