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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 872 · 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. 1.37 × 12 =
  2. 2.37 × 9 =
  3. 3.111111 × 111111 =
  4. 4.37 × 27 =
  5. 5.11 × 11 =
  6. 6.12345 × 9 + 6 =
  7. 7.111 × 111 =
  8. 8.12345678 × 9 + 9 =
  9. 9.1234 × 8 + 4 =
  10. 10.37 × 18 =
  11. 11.12345679 × 27 =
  12. 12.12345679 × 18 =
  13. 13.37 × 15 =
  14. 14.12345679 × 81 =
  15. 15.12345679 × 9 =
  16. 16.123 × 9 + 4 =
  17. 17.12 × 9 + 3 =
  18. 18.12345679 × 36 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12 × 8 + 2 =
  21. 21.37 × 3 =
  22. 22.123456789 × 8 + 9 =
  23. 23.1234567 × 9 + 8 =
  24. 24.12345 × 8 + 5 =
  25. 25.123456 × 8 + 6 =
  26. 26.123 × 8 + 3 =
  27. 27.123456 × 9 + 7 =
  28. 28.11111 × 11111 =
  29. 29.12345679 × 72 =
  30. 30.12345679 × 63 =
  31. 31.37 × 21 =
  32. 32.12 × 8 + 2 =
  33. 33.12345679 × 54 =
  34. 34.12345679 × 36 =
  35. 35.12345678 × 8 + 8 =
  36. 36.1111 × 1111 =
  37. 37.37 × 6 =
  38. 38.12345679 × 45 =
  39. 39.37 × 24 =
  40. 40.37 × 12 =

Answer key

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

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