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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 871 · 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 × 6 =
  2. 2.12345679 × 45 =
  3. 3.12 × 8 + 2 =
  4. 4.123 × 9 + 4 =
  5. 5.11111 × 11111 =
  6. 6.37 × 9 =
  7. 7.1234567 × 9 + 8 =
  8. 8.123456 × 9 + 7 =
  9. 9.12 × 9 + 3 =
  10. 10.37 × 21 =
  11. 11.1234 × 8 + 4 =
  12. 12.37 × 15 =
  13. 13.12345678 × 9 + 9 =
  14. 14.12345679 × 9 =
  15. 15.111 × 111 =
  16. 16.12345679 × 18 =
  17. 17.37 × 24 =
  18. 18.12345679 × 36 =
  19. 19.12345678 × 8 + 8 =
  20. 20.1111 × 1111 =
  21. 21.12345 × 9 + 6 =
  22. 22.123 × 8 + 3 =
  23. 23.12345679 × 63 =
  24. 24.12345679 × 54 =
  25. 25.37 × 3 =
  26. 26.12345 × 8 + 5 =
  27. 27.37 × 27 =
  28. 28.12345679 × 27 =
  29. 29.123456789 × 8 + 9 =
  30. 30.37 × 12 =
  31. 31.123456 × 8 + 6 =
  32. 32.1234567 × 8 + 7 =
  33. 33.11 × 11 =
  34. 34.12345679 × 72 =
  35. 35.111111 × 111111 =
  36. 36.12345679 × 27 =
  37. 37.12345679 × 81 =
  38. 38.1234 × 9 + 5 =
  39. 39.12345679 × 18 =
  40. 40.37 × 18 =

Answer key

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

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