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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 786 · 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. 1.12 × 9 + 3 =
  2. 2.123 × 9 + 4 =
  3. 3.12345678 × 9 + 9 =
  4. 4.111 × 111 =
  5. 5.12345679 × 63 =
  6. 6.37 × 6 =
  7. 7.1111 × 1111 =
  8. 8.37 × 9 =
  9. 9.12345679 × 18 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12345679 × 27 =
  12. 12.11 × 11 =
  13. 13.1234 × 8 + 4 =
  14. 14.111111 × 111111 =
  15. 15.123 × 8 + 3 =
  16. 16.12345679 × 81 =
  17. 17.37 × 18 =
  18. 18.12345 × 9 + 6 =
  19. 19.12345679 × 54 =
  20. 20.37 × 12 =
  21. 21.11111 × 11111 =
  22. 22.37 × 24 =
  23. 23.12 × 8 + 2 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345679 × 45 =
  26. 26.12345679 × 36 =
  27. 27.12345678 × 8 + 8 =
  28. 28.37 × 15 =
  29. 29.1234 × 9 + 5 =
  30. 30.12345679 × 9 =
  31. 31.12345679 × 72 =
  32. 32.37 × 3 =
  33. 33.12345679 × 9 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 6 =
  36. 36.1234 × 9 + 5 =
  37. 37.123456 × 9 + 7 =
  38. 38.123456789 × 8 + 9 =
  39. 39.11 × 11 =
  40. 40.37 × 21 =

Answer key

  1. 111
  2. 1111
  3. 111111111
  4. 12321
  5. 777777777
  6. 222
  7. 1234321
  8. 333
  9. 222222222
  10. 9876543
  11. 333333333
  12. 121
  13. 9876
  14. 12345654321
  15. 987
  16. 999999999
  17. 666
  18. 111111
  19. 666666666
  20. 444
  21. 123454321
  22. 888
  23. 98
  24. 987654
  25. 555555555
  26. 444444444
  27. 98765432
  28. 555
  29. 11111
  30. 111111111
  31. 888888888
  32. 111
  33. 111111111
  34. 11111111
  35. 222
  36. 11111
  37. 1111111
  38. 987654321
  39. 121
  40. 777

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