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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 911 · 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 × 8 + 6 =
  2. 2.12345679 × 9 =
  3. 3.37 × 6 =
  4. 4.123 × 8 + 3 =
  5. 5.12345679 × 18 =
  6. 6.37 × 21 =
  7. 7.123456789 × 8 + 9 =
  8. 8.111 × 111 =
  9. 9.12345 × 9 + 6 =
  10. 10.12345679 × 27 =
  11. 11.123 × 9 + 4 =
  12. 12.111111 × 111111 =
  13. 13.11111 × 11111 =
  14. 14.37 × 27 =
  15. 15.12345679 × 72 =
  16. 16.12345679 × 54 =
  17. 17.37 × 9 =
  18. 18.12345679 × 45 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345679 × 63 =
  21. 21.12345678 × 9 + 9 =
  22. 22.12345678 × 8 + 8 =
  23. 23.12 × 9 + 3 =
  24. 24.1111 × 1111 =
  25. 25.12345679 × 81 =
  26. 26.12 × 8 + 2 =
  27. 27.123456 × 9 + 7 =
  28. 28.1234 × 8 + 4 =
  29. 29.111111 × 111111 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345679 × 36 =
  32. 32.12345 × 8 + 5 =
  33. 33.37 × 15 =
  34. 34.37 × 18 =
  35. 35.1234 × 9 + 5 =
  36. 36.1111 × 1111 =
  37. 37.11 × 11 =
  38. 38.37 × 3 =
  39. 39.37 × 12 =
  40. 40.37 × 21 =

Answer key

  1. 987654
  2. 111111111
  3. 222
  4. 987
  5. 222222222
  6. 777
  7. 987654321
  8. 12321
  9. 111111
  10. 333333333
  11. 1111
  12. 12345654321
  13. 123454321
  14. 999
  15. 888888888
  16. 666666666
  17. 333
  18. 555555555
  19. 11111111
  20. 777777777
  21. 111111111
  22. 98765432
  23. 111
  24. 1234321
  25. 999999999
  26. 98
  27. 1111111
  28. 9876
  29. 12345654321
  30. 9876543
  31. 444444444
  32. 98765
  33. 555
  34. 666
  35. 11111
  36. 1234321
  37. 121
  38. 111
  39. 444
  40. 777

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