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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 953 · 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. 1.123456 × 9 + 7 =
  2. 2.1234567 × 8 + 7 =
  3. 3.12 × 9 + 3 =
  4. 4.12345679 × 45 =
  5. 5.12345679 × 27 =
  6. 6.37 × 12 =
  7. 7.11 × 11 =
  8. 8.111 × 111 =
  9. 9.11111 × 11111 =
  10. 10.37 × 21 =
  11. 11.37 × 3 =
  12. 12.37 × 6 =
  13. 13.12345679 × 81 =
  14. 14.37 × 27 =
  15. 15.12345679 × 18 =
  16. 16.123456789 × 8 + 9 =
  17. 17.12345679 × 54 =
  18. 18.37 × 24 =
  19. 19.37 × 15 =
  20. 20.12345679 × 36 =
  21. 21.1234 × 8 + 4 =
  22. 22.123 × 9 + 4 =
  23. 23.12345 × 8 + 5 =
  24. 24.12345678 × 9 + 9 =
  25. 25.12345 × 9 + 6 =
  26. 26.37 × 18 =
  27. 27.12345679 × 9 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345679 × 72 =
  30. 30.12345679 × 72 =
  31. 31.12345679 × 63 =
  32. 32.37 × 9 =
  33. 33.1234 × 9 + 5 =
  34. 34.123456 × 8 + 6 =
  35. 35.111111 × 111111 =
  36. 36.12 × 8 + 2 =
  37. 37.12345679 × 9 =
  38. 38.1111 × 1111 =
  39. 39.37 × 9 =
  40. 40.123456 × 9 + 7 =

Answer key

  1. 1111111
  2. 9876543
  3. 111
  4. 555555555
  5. 333333333
  6. 444
  7. 121
  8. 12321
  9. 123454321
  10. 777
  11. 111
  12. 222
  13. 999999999
  14. 999
  15. 222222222
  16. 987654321
  17. 666666666
  18. 888
  19. 555
  20. 444444444
  21. 9876
  22. 1111
  23. 98765
  24. 111111111
  25. 111111
  26. 666
  27. 111111111
  28. 98765432
  29. 888888888
  30. 888888888
  31. 777777777
  32. 333
  33. 11111
  34. 987654
  35. 12345654321
  36. 98
  37. 111111111
  38. 1234321
  39. 333
  40. 1111111

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