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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 860 · 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. 1.111 × 111 =
  2. 2.37 × 6 =
  3. 3.37 × 24 =
  4. 4.12345678 × 9 + 9 =
  5. 5.12 × 9 + 3 =
  6. 6.111111 × 111111 =
  7. 7.123 × 9 + 4 =
  8. 8.12345678 × 8 + 8 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 27 =
  11. 11.37 × 15 =
  12. 12.1234567 × 8 + 7 =
  13. 13.12345 × 8 + 5 =
  14. 14.123456 × 9 + 7 =
  15. 15.123456789 × 8 + 9 =
  16. 16.12345 × 9 + 6 =
  17. 17.37 × 18 =
  18. 18.11 × 11 =
  19. 19.11111 × 11111 =
  20. 20.12345679 × 36 =
  21. 21.37 × 9 =
  22. 22.12345679 × 18 =
  23. 23.12345679 × 45 =
  24. 24.37 × 21 =
  25. 25.12345679 × 9 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 27 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345679 × 63 =
  30. 30.37 × 12 =
  31. 31.1234567 × 9 + 8 =
  32. 32.12345679 × 54 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 3 =
  35. 35.111111 × 111111 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345679 × 72 =
  38. 38.12 × 8 + 2 =
  39. 39.37 × 15 =
  40. 40.12 × 9 + 3 =

Answer key

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

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