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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 961 · 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. 1.12345 × 9 + 6 =
  2. 2.123456789 × 8 + 9 =
  3. 3.123 × 9 + 4 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12345679 × 45 =
  6. 6.12345678 × 8 + 8 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345679 × 63 =
  9. 9.37 × 9 =
  10. 10.123456 × 8 + 6 =
  11. 11.12345679 × 72 =
  12. 12.1234 × 8 + 4 =
  13. 13.37 × 24 =
  14. 14.37 × 6 =
  15. 15.123 × 8 + 3 =
  16. 16.37 × 27 =
  17. 17.12345678 × 9 + 9 =
  18. 18.12 × 8 + 2 =
  19. 19.12345679 × 27 =
  20. 20.1234 × 9 + 5 =
  21. 21.111111 × 111111 =
  22. 22.37 × 21 =
  23. 23.37 × 12 =
  24. 24.37 × 15 =
  25. 25.1111 × 1111 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12345679 × 9 =
  28. 28.111 × 111 =
  29. 29.12345679 × 81 =
  30. 30.37 × 18 =
  31. 31.12345679 × 54 =
  32. 32.12 × 9 + 3 =
  33. 33.11111 × 11111 =
  34. 34.37 × 3 =
  35. 35.11 × 11 =
  36. 36.123456 × 9 + 7 =
  37. 37.11 × 11 =
  38. 38.12345679 × 36 =
  39. 39.12345679 × 18 =
  40. 40.12345679 × 36 =

Answer key

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

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