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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 837 · 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. 2.1234 × 9 + 5 =
  3. 3.37 × 12 =
  4. 4.12345679 × 81 =
  5. 5.1234 × 8 + 4 =
  6. 6.37 × 21 =
  7. 7.37 × 9 =
  8. 8.11111 × 11111 =
  9. 9.1234567 × 8 + 7 =
  10. 10.11 × 11 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 63 =
  13. 13.1234567 × 9 + 8 =
  14. 14.123 × 9 + 4 =
  15. 15.12345679 × 45 =
  16. 16.37 × 15 =
  17. 17.12345 × 9 + 6 =
  18. 18.37 × 3 =
  19. 19.12345678 × 8 + 8 =
  20. 20.37 × 6 =
  21. 21.12345679 × 18 =
  22. 22.37 × 24 =
  23. 23.12 × 8 + 2 =
  24. 24.1111 × 1111 =
  25. 25.123456789 × 8 + 9 =
  26. 26.12345679 × 54 =
  27. 27.12345679 × 36 =
  28. 28.12345678 × 9 + 9 =
  29. 29.12 × 9 + 3 =
  30. 30.12345679 × 27 =
  31. 31.37 × 18 =
  32. 32.123 × 8 + 3 =
  33. 33.123456 × 8 + 6 =
  34. 34.12345679 × 45 =
  35. 35.111111 × 111111 =
  36. 36.12345679 × 72 =
  37. 37.123456 × 9 + 7 =
  38. 38.12345 × 8 + 5 =
  39. 39.123 × 9 + 4 =
  40. 40.1111 × 1111 =

Answer key

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

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