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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 892 · 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. 1.123456 × 9 + 7 =
  2. 2.1234 × 9 + 5 =
  3. 3.37 × 6 =
  4. 4.12345679 × 72 =
  5. 5.11 × 11 =
  6. 6.37 × 15 =
  7. 7.123 × 9 + 4 =
  8. 8.12345 × 8 + 5 =
  9. 9.1111 × 1111 =
  10. 10.37 × 3 =
  11. 11.123 × 8 + 3 =
  12. 12.12345678 × 9 + 9 =
  13. 13.12345679 × 18 =
  14. 14.12345679 × 54 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 27 =
  17. 17.12345679 × 45 =
  18. 18.11111 × 11111 =
  19. 19.12 × 9 + 3 =
  20. 20.37 × 21 =
  21. 21.37 × 12 =
  22. 22.37 × 27 =
  23. 23.12345679 × 81 =
  24. 24.12345 × 9 + 6 =
  25. 25.12345678 × 8 + 8 =
  26. 26.12 × 8 + 2 =
  27. 27.1234567 × 8 + 7 =
  28. 28.1234 × 8 + 4 =
  29. 29.111 × 111 =
  30. 30.12345679 × 9 =
  31. 31.111111 × 111111 =
  32. 32.37 × 24 =
  33. 33.12345679 × 63 =
  34. 34.12345679 × 36 =
  35. 35.1234 × 8 + 4 =
  36. 36.37 × 21 =
  37. 37.123456789 × 8 + 9 =
  38. 38.12 × 8 + 2 =
  39. 39.37 × 9 =
  40. 40.11 × 11 =

Answer key

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

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