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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 775 · 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. 1.12345 × 8 + 5 =
  2. 2.1234 × 9 + 5 =
  3. 3.11111 × 11111 =
  4. 4.12345679 × 54 =
  5. 5.111 × 111 =
  6. 6.1111 × 1111 =
  7. 7.123456789 × 8 + 9 =
  8. 8.12345679 × 18 =
  9. 9.1234 × 8 + 4 =
  10. 10.12345679 × 27 =
  11. 11.37 × 12 =
  12. 12.12345679 × 81 =
  13. 13.123456 × 9 + 7 =
  14. 14.1234567 × 8 + 7 =
  15. 15.123 × 8 + 3 =
  16. 16.11 × 11 =
  17. 17.37 × 15 =
  18. 18.37 × 6 =
  19. 19.12345678 × 8 + 8 =
  20. 20.12345679 × 36 =
  21. 21.37 × 18 =
  22. 22.12345679 × 9 =
  23. 23.37 × 27 =
  24. 24.37 × 24 =
  25. 25.12 × 9 + 3 =
  26. 26.123 × 9 + 4 =
  27. 27.37 × 3 =
  28. 28.123456 × 8 + 6 =
  29. 29.12 × 8 + 2 =
  30. 30.12345 × 9 + 6 =
  31. 31.37 × 9 =
  32. 32.12345679 × 45 =
  33. 33.1234567 × 9 + 8 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345679 × 72 =
  36. 36.111111 × 111111 =
  37. 37.37 × 21 =
  38. 38.37 × 6 =
  39. 39.12345679 × 63 =
  40. 40.37 × 6 =

Answer key

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

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