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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 873 · 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. 1.12345679 × 45 =
  2. 2.12345679 × 81 =
  3. 3.12345679 × 54 =
  4. 4.37 × 27 =
  5. 5.12345678 × 8 + 8 =
  6. 6.1234 × 8 + 4 =
  7. 7.12 × 8 + 2 =
  8. 8.37 × 15 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 9 =
  11. 11.12345 × 9 + 6 =
  12. 12.12345679 × 18 =
  13. 13.12345679 × 27 =
  14. 14.12345679 × 72 =
  15. 15.37 × 3 =
  16. 16.37 × 24 =
  17. 17.111 × 111 =
  18. 18.37 × 12 =
  19. 19.12 × 9 + 3 =
  20. 20.123456 × 9 + 7 =
  21. 21.123 × 9 + 4 =
  22. 22.12345 × 8 + 5 =
  23. 23.11 × 11 =
  24. 24.12345679 × 63 =
  25. 25.12345678 × 9 + 9 =
  26. 26.1234567 × 8 + 7 =
  27. 27.11111 × 11111 =
  28. 28.111111 × 111111 =
  29. 29.1111 × 1111 =
  30. 30.37 × 27 =
  31. 31.12345679 × 9 =
  32. 32.37 × 21 =
  33. 33.123456 × 8 + 6 =
  34. 34.12345679 × 36 =
  35. 35.37 × 18 =
  36. 36.1234567 × 9 + 8 =
  37. 37.1234 × 9 + 5 =
  38. 38.37 × 6 =
  39. 39.123456789 × 8 + 9 =
  40. 40.12345679 × 27 =

Answer key

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

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