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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 977 · 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. 1.11 × 11 =
  2. 2.123 × 8 + 3 =
  3. 3.123456789 × 8 + 9 =
  4. 4.12345679 × 36 =
  5. 5.37 × 21 =
  6. 6.12345678 × 8 + 8 =
  7. 7.37 × 18 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 72 =
  10. 10.12345679 × 81 =
  11. 11.12345679 × 27 =
  12. 12.12345 × 8 + 5 =
  13. 13.1234 × 8 + 4 =
  14. 14.37 × 6 =
  15. 15.111 × 111 =
  16. 16.37 × 27 =
  17. 17.12345679 × 45 =
  18. 18.37 × 12 =
  19. 19.11111 × 11111 =
  20. 20.123456 × 8 + 6 =
  21. 21.37 × 3 =
  22. 22.111111 × 111111 =
  23. 23.12345678 × 9 + 9 =
  24. 24.37 × 24 =
  25. 25.123456 × 9 + 7 =
  26. 26.12345 × 9 + 6 =
  27. 27.12345679 × 63 =
  28. 28.12 × 9 + 3 =
  29. 29.1234 × 9 + 5 =
  30. 30.12 × 8 + 2 =
  31. 31.1234567 × 8 + 7 =
  32. 32.123 × 9 + 4 =
  33. 33.37 × 9 =
  34. 34.12345679 × 18 =
  35. 35.1234567 × 9 + 8 =
  36. 36.123 × 9 + 4 =
  37. 37.12345679 × 72 =
  38. 38.12345678 × 9 + 9 =
  39. 39.12345679 × 9 =
  40. 40.37 × 15 =

Answer key

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

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