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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 883 · 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. 1.123456 × 9 + 7 =
  2. 2.12345679 × 18 =
  3. 3.37 × 24 =
  4. 4.12345679 × 27 =
  5. 5.123 × 9 + 4 =
  6. 6.123456789 × 8 + 9 =
  7. 7.37 × 15 =
  8. 8.111111 × 111111 =
  9. 9.12345679 × 54 =
  10. 10.37 × 6 =
  11. 11.12345679 × 81 =
  12. 12.12345 × 9 + 6 =
  13. 13.1234 × 9 + 5 =
  14. 14.12 × 8 + 2 =
  15. 15.37 × 12 =
  16. 16.111 × 111 =
  17. 17.37 × 18 =
  18. 18.12345679 × 72 =
  19. 19.123 × 8 + 3 =
  20. 20.1234 × 8 + 4 =
  21. 21.37 × 3 =
  22. 22.37 × 21 =
  23. 23.12345679 × 45 =
  24. 24.123456 × 8 + 6 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12345678 × 9 + 9 =
  27. 27.37 × 9 =
  28. 28.12 × 9 + 3 =
  29. 29.11 × 11 =
  30. 30.12345679 × 9 =
  31. 31.12345678 × 8 + 8 =
  32. 32.37 × 18 =
  33. 33.12345 × 8 + 5 =
  34. 34.37 × 27 =
  35. 35.12345679 × 36 =
  36. 36.12345679 × 63 =
  37. 37.11111 × 11111 =
  38. 38.1111 × 1111 =
  39. 39.1234567 × 8 + 7 =
  40. 40.37 × 15 =

Answer key

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

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