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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 988 · 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. 2.111111 × 111111 =
  3. 3.12345679 × 54 =
  4. 4.37 × 18 =
  5. 5.123456 × 9 + 7 =
  6. 6.123456789 × 8 + 9 =
  7. 7.12345679 × 63 =
  8. 8.11111 × 11111 =
  9. 9.37 × 3 =
  10. 10.12345679 × 27 =
  11. 11.12345679 × 36 =
  12. 12.1234567 × 8 + 7 =
  13. 13.12345679 × 18 =
  14. 14.12 × 8 + 2 =
  15. 15.12345678 × 9 + 9 =
  16. 16.12345 × 8 + 5 =
  17. 17.12345678 × 8 + 8 =
  18. 18.12345679 × 45 =
  19. 19.1234 × 8 + 4 =
  20. 20.37 × 12 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12345679 × 9 =
  23. 23.37 × 15 =
  24. 24.123456 × 8 + 6 =
  25. 25.37 × 27 =
  26. 26.37 × 21 =
  27. 27.12 × 9 + 3 =
  28. 28.1111 × 1111 =
  29. 29.12345679 × 72 =
  30. 30.37 × 9 =
  31. 31.123 × 8 + 3 =
  32. 32.1234 × 9 + 5 =
  33. 33.111 × 111 =
  34. 34.37 × 24 =
  35. 35.37 × 6 =
  36. 36.12345 × 9 + 6 =
  37. 37.123 × 9 + 4 =
  38. 38.37 × 12 =
  39. 39.12345679 × 81 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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