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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 955 · 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. 1.123 × 9 + 4 =
  2. 2.12345679 × 63 =
  3. 3.12 × 8 + 2 =
  4. 4.123456789 × 8 + 9 =
  5. 5.1234 × 9 + 5 =
  6. 6.1111 × 1111 =
  7. 7.37 × 21 =
  8. 8.123456 × 8 + 6 =
  9. 9.37 × 3 =
  10. 10.1234567 × 8 + 7 =
  11. 11.111 × 111 =
  12. 12.11111 × 11111 =
  13. 13.12 × 9 + 3 =
  14. 14.37 × 27 =
  15. 15.123 × 8 + 3 =
  16. 16.12345679 × 81 =
  17. 17.37 × 18 =
  18. 18.11 × 11 =
  19. 19.37 × 9 =
  20. 20.12345679 × 54 =
  21. 21.37 × 15 =
  22. 22.12345679 × 9 =
  23. 23.12345679 × 18 =
  24. 24.37 × 24 =
  25. 25.12345679 × 27 =
  26. 26.37 × 6 =
  27. 27.123456 × 9 + 7 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12345 × 9 + 6 =
  30. 30.37 × 12 =
  31. 31.1234 × 8 + 4 =
  32. 32.12345679 × 45 =
  33. 33.12345 × 8 + 5 =
  34. 34.37 × 18 =
  35. 35.12345679 × 36 =
  36. 36.12345678 × 8 + 8 =
  37. 37.12345678 × 9 + 9 =
  38. 38.12345678 × 9 + 9 =
  39. 39.111111 × 111111 =
  40. 40.12345679 × 72 =

Answer key

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

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