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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 945 · 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. 1.123 × 9 + 4 =
  2. 2.37 × 18 =
  3. 3.37 × 6 =
  4. 4.12345679 × 36 =
  5. 5.111 × 111 =
  6. 6.37 × 27 =
  7. 7.1234567 × 9 + 8 =
  8. 8.123456 × 9 + 7 =
  9. 9.123456 × 8 + 6 =
  10. 10.12 × 9 + 3 =
  11. 11.11 × 11 =
  12. 12.12345 × 8 + 5 =
  13. 13.12345679 × 81 =
  14. 14.1111 × 1111 =
  15. 15.111111 × 111111 =
  16. 16.11111 × 11111 =
  17. 17.12345679 × 18 =
  18. 18.37 × 9 =
  19. 19.12345678 × 9 + 9 =
  20. 20.12345679 × 9 =
  21. 21.123 × 8 + 3 =
  22. 22.1234 × 8 + 4 =
  23. 23.12 × 8 + 2 =
  24. 24.123456789 × 8 + 9 =
  25. 25.12345679 × 45 =
  26. 26.1234567 × 8 + 7 =
  27. 27.37 × 3 =
  28. 28.12345 × 9 + 6 =
  29. 29.12345679 × 72 =
  30. 30.37 × 24 =
  31. 31.37 × 21 =
  32. 32.37 × 12 =
  33. 33.12345678 × 8 + 8 =
  34. 34.37 × 15 =
  35. 35.1234 × 9 + 5 =
  36. 36.37 × 24 =
  37. 37.1111 × 1111 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 21 =
  40. 40.12345679 × 63 =

Answer key

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

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