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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 913 · 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 × 8 + 2 =
  2. 2.12345679 × 27 =
  3. 3.37 × 21 =
  4. 4.12345679 × 36 =
  5. 5.12345679 × 54 =
  6. 6.111111 × 111111 =
  7. 7.11 × 11 =
  8. 8.1234567 × 8 + 7 =
  9. 9.12 × 9 + 3 =
  10. 10.12345678 × 8 + 8 =
  11. 11.37 × 15 =
  12. 12.1111 × 1111 =
  13. 13.1234 × 8 + 4 =
  14. 14.12345679 × 72 =
  15. 15.37 × 24 =
  16. 16.37 × 3 =
  17. 17.12345 × 9 + 6 =
  18. 18.37 × 18 =
  19. 19.12345679 × 45 =
  20. 20.37 × 12 =
  21. 21.12345 × 8 + 5 =
  22. 22.123456 × 8 + 6 =
  23. 23.37 × 27 =
  24. 24.123 × 8 + 3 =
  25. 25.1234 × 9 + 5 =
  26. 26.11111 × 11111 =
  27. 27.111 × 111 =
  28. 28.123456789 × 8 + 9 =
  29. 29.12345679 × 63 =
  30. 30.12345679 × 81 =
  31. 31.123 × 9 + 4 =
  32. 32.37 × 9 =
  33. 33.37 × 6 =
  34. 34.12345679 × 18 =
  35. 35.12345678 × 9 + 9 =
  36. 36.1234567 × 9 + 8 =
  37. 37.123456 × 9 + 7 =
  38. 38.1111 × 1111 =
  39. 39.12345678 × 9 + 9 =
  40. 40.12345679 × 9 =

Answer key

  1. 98
  2. 333333333
  3. 777
  4. 444444444
  5. 666666666
  6. 12345654321
  7. 121
  8. 9876543
  9. 111
  10. 98765432
  11. 555
  12. 1234321
  13. 9876
  14. 888888888
  15. 888
  16. 111
  17. 111111
  18. 666
  19. 555555555
  20. 444
  21. 98765
  22. 987654
  23. 999
  24. 987
  25. 11111
  26. 123454321
  27. 12321
  28. 987654321
  29. 777777777
  30. 999999999
  31. 1111
  32. 333
  33. 222
  34. 222222222
  35. 111111111
  36. 11111111
  37. 1111111
  38. 1234321
  39. 111111111
  40. 111111111

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