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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 787 · 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. 2.37 × 18 =
  3. 3.123 × 9 + 4 =
  4. 4.12345679 × 63 =
  5. 5.1234567 × 8 + 7 =
  6. 6.12345 × 8 + 5 =
  7. 7.12345 × 9 + 6 =
  8. 8.12345679 × 72 =
  9. 9.12345679 × 27 =
  10. 10.1234 × 9 + 5 =
  11. 11.111 × 111 =
  12. 12.1234567 × 9 + 8 =
  13. 13.12345679 × 81 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12345679 × 9 =
  16. 16.37 × 12 =
  17. 17.111111 × 111111 =
  18. 18.12345679 × 18 =
  19. 19.11 × 11 =
  20. 20.123456 × 9 + 7 =
  21. 21.37 × 27 =
  22. 22.37 × 9 =
  23. 23.1234 × 8 + 4 =
  24. 24.11111 × 11111 =
  25. 25.12 × 8 + 2 =
  26. 26.37 × 24 =
  27. 27.12345678 × 9 + 9 =
  28. 28.12345679 × 36 =
  29. 29.12345679 × 54 =
  30. 30.37 × 6 =
  31. 31.123456 × 8 + 6 =
  32. 32.37 × 3 =
  33. 33.37 × 21 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345679 × 45 =
  36. 36.1111 × 1111 =
  37. 37.12345678 × 8 + 8 =
  38. 38.123 × 8 + 3 =
  39. 39.12345679 × 45 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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