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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 897 · 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 × 8 + 6 =
  2. 2.111111 × 111111 =
  3. 3.12345679 × 54 =
  4. 4.12345679 × 63 =
  5. 5.12345679 × 27 =
  6. 6.37 × 6 =
  7. 7.12345678 × 9 + 9 =
  8. 8.37 × 12 =
  9. 9.1111 × 1111 =
  10. 10.37 × 21 =
  11. 11.12345 × 8 + 5 =
  12. 12.12 × 8 + 2 =
  13. 13.1234 × 8 + 4 =
  14. 14.37 × 3 =
  15. 15.123 × 8 + 3 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345 × 9 + 6 =
  18. 18.37 × 27 =
  19. 19.37 × 24 =
  20. 20.37 × 18 =
  21. 21.12345678 × 8 + 8 =
  22. 22.1234567 × 8 + 7 =
  23. 23.12345679 × 72 =
  24. 24.123 × 9 + 4 =
  25. 25.123456789 × 8 + 9 =
  26. 26.123456 × 9 + 7 =
  27. 27.12345679 × 36 =
  28. 28.12345679 × 9 =
  29. 29.11 × 11 =
  30. 30.123 × 8 + 3 =
  31. 31.11111 × 11111 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 36 =
  34. 34.37 × 15 =
  35. 35.12345679 × 18 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12 × 9 + 3 =
  38. 38.37 × 9 =
  39. 39.111 × 111 =
  40. 40.123456789 × 8 + 9 =

Answer key

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

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